Toniolo and Linder, Equation (10-)

Time bar (total: 17.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze662.0ms (3.7%)

Memory
36.7MiB live, 1 017.7MiB 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 (15.9%)

Memory
84.9MiB live, 3 378.0MiB allocated
Samples
938.0ms4 290×0valid
501.0ms1 569×2valid
483.0ms1 270×3valid
392.0ms1 125×1valid
1.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
adjust: 307.0ms (16.3% of total)
ival-mult: 280.0ms (14.9% of total)
ival-div: 264.0ms (14.1% of total)
ival-sin: 239.0ms (12.7% of total)
ival-tan: 226.0ms (12% of total)
ival-pow2: 187.0ms (10% of total)
ival-pow: 178.0ms (9.5% of total)
ival-sub: 88.0ms (4.7% of total)
ival-add: 87.0ms (4.6% of total)
exact: 12.0ms (0.6% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain331.0ms (1.9%)

Memory
-12.7MiB live, 644.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
760-0-(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
580-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
580-5(-2.7817386221000745e-42 -3.48138757583069e-160 -1.6623064818411225e+51)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
100-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
90-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
11(2.0833395367787325e-97 -2453158665442.956 4.6170472750863635e+222)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))cancellation580
*.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*o400
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow78
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow100
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow87
(pow.f64 t #s(literal 3 binary64))underflow74
(*.f64 l l)underflow65
(/.f64 k t)overflow35
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow73
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow73
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow73
*.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*u230
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow91
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow72
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow82
(pow.f64 t #s(literal 3 binary64))overflow86
(*.f64 l l)overflow55
(/.f64 k t)underflow25
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow66
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow66
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o200
(pow.f64 t #s(literal 3 binary64))overflow86
(*.f64 l l)overflow55
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u190
(pow.f64 t #s(literal 3 binary64))underflow74
(*.f64 l l)underflow65
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o100
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o90
*.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/o50
(*.f64 l l)overflow55
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u50
(*.f64 l l)underflow65
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n30
(pow.f64 t #s(literal 3 binary64))overflow86
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o20
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow72
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow82
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.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)))overflow73
(/.f64 k t)overflow35
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow91
(pow.f64 t #s(literal 3 binary64))overflow86
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow73
(*.f64 l l)overflow55
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow73
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n10
(pow.f64 t #s(literal 3 binary64))underflow74
Confusion
Predicted +Predicted -
+1531
-2874
Precision
0.8453038674033149
Recall
0.9935064935064936
Confusion?
Predicted +Predicted MaybePredicted -
+15301
-28074
Precision?
0.8453038674033149
Recall?
0.9935064935064936
Freqs
test
numberfreq
075
1154
227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms270×0valid
47.0ms104×2valid
27.0ms72×3valid
23.0ms66×1valid
Compiler

Compiled 268 to 61 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
adjust: 27.0ms (23.9% of total)
ival-sin: 17.0ms (15.1% of total)
ival-div: 16.0ms (14.2% of total)
ival-mult: 14.0ms (12.4% of total)
ival-tan: 11.0ms (9.7% of total)
ival-pow2: 9.0ms (8% of total)
ival-pow: 8.0ms (7.1% of total)
ival-sub: 5.0ms (4.4% of total)
ival-add: 5.0ms (4.4% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess352.0ms (2%)

Memory
-25.0MiB live, 488.6MiB allocated
Algorithm
egg-herbie
Rules
15 980×lower-fma.f64
15 980×lower-fma.f32
6 382×lower-*.f32
6 374×lower-*.f64
3 228×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082231
1239207
21063189
01925
03225
15723
216121
384921
4356721
0826521
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
Symmetry

(abs k)

(abs l)

(negabs t)

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #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)

simplify350.0ms (2%)

Memory
30.9MiB live, 545.9MiB 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)

localize89.0ms (0.5%)

Memory
0.4MiB live, 159.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.394260878637391
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
accuracy13.068982757503361
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy13.087989492374998
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy18.379182754086557
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Samples
26.0ms135×0valid
17.0ms52×2valid
13.0ms36×3valid
8.0ms33×1valid
Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 7.0ms (14.9% of total)
adjust: 7.0ms (14.9% of total)
ival-mult: 7.0ms (14.9% of total)
ival-sin: 6.0ms (12.8% of total)
ival-pow2: 5.0ms (10.6% of total)
ival-tan: 5.0ms (10.6% of total)
ival-pow: 5.0ms (10.6% of total)
ival-sub: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.2%)

Memory
-1.8MiB live, 74.3MiB 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 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.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) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (patch (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #<representation binary64>) () ())) ())
Calls

48 calls:

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

simplify524.0ms (3%)

Memory
-9.5MiB live, 730.2MiB allocated
Algorithm
egg-herbie
Rules
9 836×lower-fma.f64
9 836×lower-fma.f32
6 464×lower-*.f64
6 464×lower-*.f32
4 484×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062538
13592534
215472464
350802464
474792464
576952464
677212464
777252464
877252464
088132446
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) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
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 l (+.f64 l l)) (/.f64 (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 l (+.f64 l l)) (/.f64 (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 l (+.f64 l l)) (/.f64 (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 l (+.f64 l l)) (/.f64 (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)))))
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(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))
(*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))
(* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))
(*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 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) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (*.f64 l (cos.f64 k)))))

rewrite318.0ms (1.8%)

Memory
-14.4MiB live, 407.5MiB 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
01985
03281
111777
281073
0890073
Stop Event
iter limit
node limit
iter limit
Counts
7 → 1 115
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 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.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))
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(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
(*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #s(literal 1 binary64)))
(*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (tan.f64 k)))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) l))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (/.f64 (sin.f64 k) l) (tan.f64 k)))
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)))
(*.f64 (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (neg.f64 l)))
(*.f64 (/.f64 t l) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 l (*.f64 t t))))
(*.f64 (/.f64 t l) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 l t)))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (*.f64 (sin.f64 k) (tan.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) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.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 t (*.f64 t t)) (*.f64 l l)) (tan.f64 k)) (sin.f64 k))
(*.f64 (*.f64 (*.f64 t (*.f64 t (neg.f64 t))) (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 #s(literal -1 binary64) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 #s(literal 1 binary64) (*.f64 l l)))
(*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))) (/.f64 #s(literal 1 binary64) (cos.f64 k)))
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (tan.f64 k) l))
(*.f64 (/.f64 (tan.f64 k) l) (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)))
(*.f64 (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
(*.f64 (*.f64 (tan.f64 k) (*.f64 t (*.f64 t t))) (/.f64 (sin.f64 k) (*.f64 l l)))
(*.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (sin.f64 k) l))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) t) (/.f64 (*.f64 t t) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t t)) (/.f64 t (*.f64 l l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 t (neg.f64 t)))) (/.f64 #s(literal -1 binary64) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 l l))) (*.f64 t (*.f64 t t)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t l)) (/.f64 (*.f64 t t) l))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 t t) l)) (/.f64 t l))
(*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))

eval170.0ms (1%)

Memory
37.8MiB live, 342.8MiB allocated
Compiler

Compiled 53 365 to 3 945 computations (92.6% saved)

prune254.0ms (1.4%)

Memory
8.7MiB live, 438.4MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1 288191 307
Fresh000
Picked101
Done000
Total1 289191 308
Accuracy
89.7%
Counts
1 308 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))) (/.f64 (*.f64 k k) (*.f64 t t)))
38.4%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (/.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 l l)))
43.4%
(/.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))
51.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k)))) l) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
43.1%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
53.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
34.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k (/.f64 (*.f64 t t) k))))
43.9%
(/.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))))
45.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (sin.f64 k) l)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
38.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (sin.f64 k) l)))
34.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
37.7%
(/.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)))))))
38.5%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
38.1%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
62.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
76.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))))
42.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
64.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
77.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
Compiler

Compiled 1 056 to 618 computations (41.5% saved)

simplify309.0ms (1.7%)

Memory
16.3MiB live, 456.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 k k)
cost-diff0
(*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))))
cost-diff0
(/.f64 (*.f64 t t) l)
cost-diff0
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
cost-diff384
(*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
cost-diff512
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
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-diff1664
(fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))
cost-diff5824
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
cost-diff0
(+.f64 l l)
cost-diff0
(*.f64 l (+.f64 l l))
cost-diff0
(/.f64 (*.f64 l (+.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 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
cost-diff0
(+.f64 l l)
cost-diff0
(*.f64 l (+.f64 l l))
cost-diff0
(*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
Rules
11 902×lower-fma.f32
11 898×lower-fma.f64
8 094×lower-*.f32
8 048×lower-*.f64
3 062×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070799
0117777
1254742
2926692
35423688
08159683
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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
(*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(*.f64 l (+.f64 l l))
l
(+.f64 l l)
(/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(cos.f64 k)
k
(*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
t
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 l (+.f64 l l))
l
(+.f64 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 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.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)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))))
(*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))
(*.f64 k k)
k
(fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))
t
(*.f64 t (/.f64 t (*.f64 l l)))
(/.f64 t (*.f64 l l))
(*.f64 l l)
l
(*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))
(*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k))
(*.f64 t (*.f64 t t))
(*.f64 t t)
(fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))
#s(literal 31/360 binary64)
#s(literal 1/6 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
t
l
(*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 t l)
(*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))
(tan.f64 k)
k
(*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))
(sin.f64 k)
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 k k)
k
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
t
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 l (*.f64 l (cos.f64 k)))
l
(*.f64 l (cos.f64 k))
(cos.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 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l 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 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 l l) (*.f64 l (cos.f64 k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 l (+.f64 l l))
l
(+.f64 l l)
(/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(cos.f64 k)
k
(*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
(*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t k))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
t
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 l (+.f64 l l))
l
(+.f64 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 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.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 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 k (*.f64 k (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 l l)))) (/.f64 (*.f64 k k) (*.f64 t t))))
#s(literal 2 binary64)
(*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.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)) (tan k)) (*.f64 (fma.f64 k (*.f64 k (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 l l)))) (/.f64 (*.f64 k k) (*.f64 t t)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 k (*.f64 k (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 l l))))
(*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 k (*.f64 k (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 l l)))
(*.f64 k k)
k
(fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 t (/.f64 t (*.f64 l l))) (fma.f64 (*.f64 t (*.f64 k k)) (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64)) t))
t
(*.f64 t (/.f64 t (*.f64 l l)))
(/.f64 t (*.f64 l l))
(*.f64 l l)
l
(*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 t (*.f64 t (/.f64 t (*.f64 l l)))) (*.f64 k (*.f64 k (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))
(/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 l l))
(*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 t (*.f64 t t))))
(*.f64 t (*.f64 t t))
(*.f64 t t)
(fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))
(fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))
#s(literal 31/360 binary64)
#s(literal 1/6 binary64)
(-.f64 (+.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 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(/.f64 (+.f64 l l) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l (*.f64 t t)))))
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (/.f64 k (*.f64 t t)) (*.f64 k (tan.f64 k))) (*.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) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
(*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l (*.f64 t t))))
(/.f64 t l)
(*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))
(/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 t t))
(tan.f64 k)
k
(*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k (*.f64 k (sin.f64 k))) (*.f64 t t))
(sin.f64 k)
(/.f64 (*.f64 k k) (*.f64 t t))
(*.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 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 (cos.f64 k) (*.f64 l l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 (cos.f64 k) (*.f64 l l))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 k k)
k
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
t
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 l (*.f64 l (cos.f64 k)))
(*.f64 (cos.f64 k) (*.f64 l l))
l
(*.f64 l (cos.f64 k))
(cos.f64 k)

localize327.0ms (1.8%)

Memory
-50.1MiB live, 460.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.31154252930532605
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy2.78070184865605
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
accuracy7.946797978621514
(*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))
accuracy11.70315449844027
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
accuracy7.330981565106841
(/.f64 (*.f64 t t) l)
accuracy12.704616135918142
(*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
accuracy13.880281427521444
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
accuracy16.62191745918037
(/.f64 (*.f64 k k) (*.f64 t t))
accuracy13.734107799899002
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))
accuracy15.484717734606965
(*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k))
accuracy18.379182754086557
(*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy25.34711597898153
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))))
accuracy0.12337875976844201
(*.f64 (*.f64 k k) (*.f64 k k))
accuracy2.9712507111727504
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy13.47330568507502
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy14.420626130172744
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
accuracy0.31154252930532605
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy0.3962527180334322
(/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
accuracy2.78070184865605
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
accuracy13.303329351273707
(*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
Samples
73.0ms135×0valid
49.0ms52×2valid
44.0ms36×3valid
30.0ms33×1valid
Compiler

Compiled 633 to 60 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 48.0ms (33.5% of total)
ival-div: 28.0ms (19.5% of total)
adjust: 15.0ms (10.5% of total)
ival-pow2: 9.0ms (6.3% of total)
ival-add: 9.0ms (6.3% of total)
const: 8.0ms (5.6% of total)
ival-sin: 8.0ms (5.6% of total)
ival-cos: 7.0ms (4.9% of total)
ival-tan: 5.0ms (3.5% of total)
ival-pow: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (0.7%)

Memory
4.5MiB live, 154.5MiB allocated
Counts
29 → 816
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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))) (patch (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 l (+.f64 l l)) (patch (*.f64 l (+.f64 l l)) #<representation binary64>) () ())
#s(alt (+.f64 l l) (patch (+.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 l (+.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 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) (patch (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) #<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 (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))) (patch (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 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 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) (patch (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))) (patch (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t t) l) (patch (/.f64 (*.f64 t t) l) #<representation binary64>) () ())
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#s(alt (*.f64 k k) (patch (*.f64 k k) #<representation binary64>) () ())
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Outputs
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#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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<representation binary64>) () ())) ())
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#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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())) ())
Calls

204 calls:

TimeVariablePointExpression
7.0ms
k
@-inf
(/ (* l (+ l l)) (* t (* (* k k) (* k k))))
5.0ms
k
@-inf
(* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))
2.0ms
k
@inf
(* (* l (+ l l)) (/ (cos k) (* k (* k (* t (pow (sin k) 2))))))
2.0ms
k
@-inf
(* (* l (+ l l)) (/ (cos k) (* k (* k (* t (pow (sin k) 2))))))
2.0ms
l
@0
(* (* l (+ l l)) (/ (cos k) (* k (* k (* t (pow (sin k) 2))))))

simplify896.0ms (5.1%)

Memory
11.1MiB live, 1 318.0MiB allocated
Algorithm
egg-herbie
Rules
9 124×lower-fma.f64
9 124×lower-fma.f32
7 744×lower-*.f64
7 744×lower-*.f32
3 818×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030311858
1101711780
2384411774
0812811575
Stop Event
iter limit
node limit
Counts
816 → 816
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))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 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)))
(/ (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))
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(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
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(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
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(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
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(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
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(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))

rewrite346.0ms (2%)

Memory
30.4MiB live, 535.1MiB allocated
Rules
4 642×lower-/.f32
4 620×lower-/.f64
4 170×lower-*.f32
4 124×lower-*.f64
3 704×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069537
0115513
1408466
23125449
08507449
Stop Event
iter limit
node limit
iter limit
Counts
29 → 1 017
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
(*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(*.f64 l (+.f64 l l))
(+.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 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 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.f64 (*.f64 t t) l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 k k)
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(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))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (*.f64 l (cos.f64 k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.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 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 l l)) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 l l)))
(+.f64 (*.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))) (*.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.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 (*.f64 l l) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))) (/.f64 (/.f64 (*.f64 l l) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 l l) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 l l)))
(fma.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 (+.f64 l l) (cos.f64 k))))
(/.f64 (+.f64 l l) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))))
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))))
(/.f64 (neg.f64 (+.f64 l l)) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 (+.f64 l l) (cos.f64 k)))))
(/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.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 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) #s(literal 1 binary64)) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (cos.f64 k)) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (*.f64 (*.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 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (neg.f64 (cos.f64 k))) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (neg.f64 (*.f64 (*.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 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 (cos.f64 k) k)) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 k)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 k))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 k) k)) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 (neg.f64 (*.f64 (+.f64 l l) (cos.f64 k))) (neg.f64 (*.f64 (*.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 l) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))
(/.f64 (*.f64 (+.f64 l l) (neg.f64 (cos.f64 k))) (neg.f64 (*.f64 (*.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 l) (/.f64 (cos.f64 k) k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 l l)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (cos.f64 k)) (+.f64 l l)) (neg.f64 (*.f64 (*.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 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)))
(/.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))) (fma.f64 l l #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))) #s(literal 0 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)))
(/.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))) k)
(/.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 k k)) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (cos.f64 k))) (neg.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (neg.f64 (cos.f64 k)))) (neg.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (neg.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 (cos.f64 k) k))) (neg.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 k))) (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 k)))) (neg.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 k) k))) (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 l l) (cos.f64 k)))) (neg.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 l l) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (+.f64 l l) (neg.f64 (cos.f64 k)))) (neg.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 l l) (/.f64 (cos.f64 k) k))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 l l))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 k)) (+.f64 l l))) (neg.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))) (neg.f64 (fma.f64 l l #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))) #s(literal 0 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) k)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)))) (neg.f64 k))
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(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))
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(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 t (*.f64 (cos.f64 k) (*.f64 l l))))
(*.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 k) (*.f64 l l))))
(*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (/.f64 t (*.f64 l l)) (pow.f64 (/.f64 (cos.f64 k) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal -1 binary64)))
(*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (cos.f64 k)) (neg.f64 l))))
(*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (/.f64 t l))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (pow.f64 (/.f64 (cos.f64 k) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (pow.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)))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 t l)) (/.f64 #s(literal 1 binary64) (*.f64 l (cos.f64 k))))
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t)
(*.f64 (/.f64 t (*.f64 l (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) l))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) l) (/.f64 t (*.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 l l)) (/.f64 t (cos.f64 k)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.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 l)))
(*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 l (cos.f64 k)) t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 l (cos.f64 k)) t) #s(literal -1 binary64)) (pow.f64 (/.f64 l (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 l l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 k) t) #s(literal -1 binary64)))

eval568.0ms (3.2%)

Memory
-139.6MiB live, 600.9MiB allocated
Compiler

Compiled 70 062 to 4 689 computations (93.3% saved)

prune435.0ms (2.5%)

Memory
-27.9MiB live, 749.2MiB allocated
Pruning

52 alts after pruning (51 fresh and 1 done)

PrunedKeptTotal
New2 055482 103
Fresh11314
Picked415
Done000
Total2 070522 122
Accuracy
98.3%
Counts
2 122 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.6%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 t t)) k))))))
60.3%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k t) (/.f64 k t)))))))
53.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
43.9%
(/.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))))
86.2%
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
73.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l l)) (/.f64 k (cos.f64 k)))))
86.2%
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) l) (/.f64 k (*.f64 l (cos.f64 k))))))
85.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
73.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (/.f64 k (*.f64 (cos.f64 k) (*.f64 l l))))))
75.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))))
72.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (/.f64 k (*.f64 l l))) (/.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))))
76.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) k)))
69.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
85.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 l t)))))
84.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))))))
76.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t))))
65.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.f64 t (*.f64 l l))))))))
76.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))))
28.2%
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.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 (/.f64 (+.f64 l l) t) (*.f64 k k)) (*.f64 k k)))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
64.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
59.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
31.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
42.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
65.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
72.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
65.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
66.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
57.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
59.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
70.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
73.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.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 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
65.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
75.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) l))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
64.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 l (*.f64 k (*.f64 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 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.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 l (+.f64 l l)) (/.f64 (/.f64 (cos.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))) k)))
72.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t))))))
77.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))))
77.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))))))))
73.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (*.f64 (/.f64 #s(literal 1 binary64) k) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (cos.f64 k)) #s(literal -1 binary64)))))
43.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
43.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 l l #s(literal 0 binary64))))) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
Compiler

Compiled 2 395 to 1 358 computations (43.3% saved)

simplify236.0ms (1.3%)

Memory
7.6MiB live, 407.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t l)
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
cost-diff384
(*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))
cost-diff0
(*.f64 k k)
cost-diff0
(*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
cost-diff0
(*.f64 (+.f64 l l) l)
cost-diff0
(*.f64 l (*.f64 (+.f64 l l) l))
cost-diff0
(/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
cost-diff0
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
cost-diff0
(+.f64 l l)
cost-diff0
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
cost-diff384
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))
Rules
9 422×lower-fma.f64
9 422×lower-fma.f32
6 122×lower-*.f32
6 086×lower-*.f64
3 026×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063657
0100639
1201607
2651591
32890585
45490585
08125579
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.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 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)
k
(*.f64 t k)
t
(*.f64 l (cos.f64 k))
l
(cos.f64 k)
(/.f64 k l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(+.f64 l l)
l
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.f64 k k))
(*.f64 k k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 l (*.f64 (+.f64 l l) l))
l
(*.f64 (+.f64 l l) l)
(+.f64 l l)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k k)
k
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 k k)
k
(/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k)))
t
#s(approx (pow (sin k) 2) (*.f64 k k))
(*.f64 l (*.f64 l (cos.f64 k)))
l
(*.f64 l (cos.f64 k))
(cos.f64 k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))))
(*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))
(/.f64 t l)
t
l
(*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
(tan.f64 k)
k
(/.f64 (sin.f64 k) l)
(sin.f64 k)
(*.f64 k k)
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l (*.f64 l (cos.f64 k)))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l (*.f64 l (cos.f64 k))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 t (*.f64 k k)) (*.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)) (*.f64 l (cos.f64 k)))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 t k) (*.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 k))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t 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)
k
(*.f64 t k)
t
(*.f64 l (cos.f64 k))
l
(cos.f64 k)
(/.f64 k l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(+.f64 l l)
l
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.f64 k k))
(*.f64 k k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 l (+.f64 l l))) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 (*.f64 l (*.f64 l (+.f64 l l))) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 l (*.f64 (+.f64 l l) l))
(*.f64 l (*.f64 l (+.f64 l l)))
l
(*.f64 (+.f64 l l) l)
(*.f64 l (+.f64 l l))
(+.f64 l l)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 k k)
k
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))
(/.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 k k)
k
(/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (/.f64 t (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k)))
t
#s(approx (pow (sin k) 2) (*.f64 k k))
(*.f64 l (*.f64 l (cos.f64 k)))
l
(*.f64 l (cos.f64 k))
(cos.f64 k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.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 t (*.f64 k k)) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l)))
(*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))
(/.f64 (*.f64 (*.f64 t (*.f64 k k)) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l))
(/.f64 t l)
t
l
(*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))
(*.f64 (*.f64 k k) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
(tan.f64 k)
k
(/.f64 (sin.f64 k) l)
(sin.f64 k)
(*.f64 k k)

localize382.0ms (2.2%)

Memory
26.0MiB live, 449.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2578125
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
accuracy0.27816838963812784
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
accuracy2.2254356410007436
(*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))
accuracy7.528124667464644
(*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))
accuracy2.78070184865605
(*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k)))
accuracy7.946797978621514
(*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))
accuracy11.70315449844027
(/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
accuracy33.22372858821945
#s(approx (pow (sin k) 2) (*.f64 k k))
accuracy0.12337875976844201
(*.f64 (*.f64 k k) (*.f64 k k))
accuracy2.9712507111727504
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy16.157058507664193
(/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy21.38991378675892
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
accuracy0.09375
(*.f64 k (*.f64 k k))
accuracy2.9712507111727504
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
accuracy4.251695286809891
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
accuracy23.262933977411528
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
accuracy0.27816838963812784
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
accuracy0.5553371365454978
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))
accuracy4.557428703109101
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k)))
accuracy13.81018748060487
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
Samples
72.0ms36×3valid
69.0ms76×2valid
64.0ms39×1valid
49.0ms105×0valid
Compiler

Compiled 491 to 54 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-cos: 44.0ms (24.9% of total)
ival-mult: 44.0ms (24.9% of total)
ival-div: 22.0ms (12.5% of total)
adjust: 18.0ms (10.2% of total)
ival-pow: 16.0ms (9.1% of total)
ival-pow2: 8.0ms (4.5% of total)
ival-sin: 8.0ms (4.5% of total)
ival-tan: 6.0ms (3.4% of total)
ival-sub: 5.0ms (2.8% of total)
ival-add: 5.0ms (2.8% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series119.0ms (0.7%)

Memory
-6.4MiB live, 239.1MiB allocated
Counts
29 → 780
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())
#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 (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) (patch (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (+.f64 l l) (patch (+.f64 l l) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (patch (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) (patch (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 (+.f64 l l) l)) (patch (*.f64 l (*.f64 (+.f64 l l) l)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 l l) l) (patch (*.f64 (+.f64 l l) l) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))) (patch (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))) #<representation binary64>) () ())
#s(alt (*.f64 k k) (patch (*.f64 k k) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))) (patch (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (/.f64 t l) (patch (/.f64 t l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) #<representation binary64>) () ())
#s(alt (*.f64 k (*.f64 k k)) (patch (*.f64 k (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))) (patch (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())
#s(alt #s(approx (pow (sin k) 2) (*.f64 k k)) (patch #s(approx (pow (sin k) 2) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (patch (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)) (patch (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (patch (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* (pow k 4) t) (pow l 2)) (taylor 0 k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow (sin k) 2) (* l (cos k))) (taylor -inf l) (#s(alt (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (patch (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* l (cos k))) (taylor -inf l) (#s(alt (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (patch (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) #<representation binary64>) () ())) ())
Calls

195 calls:

TimeVariablePointExpression
18.0ms
l
@0
(/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k)))
17.0ms
t
@0
(* (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (/ k l))
6.0ms
k
@-inf
(* (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (/ k l))
3.0ms
k
@inf
(/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k)))
2.0ms
l
@0
(/ (+ l l) (* t (* k (* k (* k k)))))

simplify884.0ms (5%)

Memory
-30.9MiB live, 1 306.0MiB allocated
Algorithm
egg-herbie
Rules
10 110×lower-fma.f64
10 110×lower-fma.f32
6 560×lower-*.f64
6 560×lower-*.f32
5 172×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024911532
185411416
2306811068
0817310872
Stop Event
iter limit
node limit
Counts
780 → 780
Calls
Call 1
Inputs
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(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)))))
(/ (* (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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 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 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 (/ l (* (pow k 4) t)))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* (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)
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 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))
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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 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)))
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* (pow k 2) (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (- (+ (* -1/3 (/ t l)) (* (pow k 2) (- (* 2/45 (/ t l)) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l)))))) (* -1/2 (/ t l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (- (+ (* -1/3 (/ t l)) (* (pow k 2) (- (+ (* 2/45 (/ t l)) (* (pow k 2) (- (* -1/315 (/ t l)) (+ (* -1/2 (- (* 2/45 (/ t l)) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l))))) (+ (* -1/720 (/ t l)) (* 1/24 (- (* -1/3 (/ t l)) (* -1/2 (/ t l))))))))) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l)))))) (* -1/2 (/ t l)))) (/ t l)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* l (cos k)))
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow k 2) t) (pow l 2))
(* (pow k 2) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* (pow k 2) t)
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(/ (pow k 4) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (pow k 2) l)
(* (pow k 2) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(/ (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 (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)))
Outputs
(/ (* (pow k 4) t) (pow l 2))
(/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t) (*.f64 l l))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 1/360 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/12 binary64))) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l l))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (-.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 1/360 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/12 binary64))) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/180 binary64)))) (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 1/360 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/12 binary64)))) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l l))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))
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(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* (pow k 2) t)
(*.f64 t (*.f64 k k))
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(*.f64 k (*.f64 k (fma.f64 t (*.f64 (*.f64 k k) #s(literal -1/3 binary64)) t)))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(*.f64 (*.f64 (fma.f64 (*.f64 k k) (*.f64 t (fma.f64 (*.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) t) k) k)
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 t #s(literal -1/3 binary64) (*.f64 t (*.f64 k (*.f64 k (fma.f64 (*.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64)))))) t))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(* t (pow (sin k) 2))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/ (pow k 4) l)
(/.f64 (*.f64 (*.f64 k k) (*.f64 k k)) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 k k) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 (*.f64 k k) l) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) (/.f64 #s(literal 1/6 binary64) l)) (/.f64 #s(literal 1 binary64) l)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 k (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (cos.f64 k)))
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(* (pow k 2) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 k k) l))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(*.f64 (*.f64 k k) (fma.f64 (/.f64 (*.f64 k k) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 (*.f64 k k) l) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) (/.f64 #s(literal 1/6 binary64) l)) (/.f64 #s(literal 1 binary64) l)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))
(/ (pow (sin k) 2) (* l (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l (cos.f64 k)))

rewrite284.0ms (1.6%)

Memory
4.0MiB live, 518.2MiB allocated
Rules
5 792×lower-/.f32
5 774×lower-/.f64
3 626×lower-*.f32
3 590×lower-*.f64
1 986×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063562
0100532
1363474
22487474
08350474
Stop Event
iter limit
node limit
iter limit
Counts
29 → 994
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(+.f64 l l)
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 l (*.f64 (+.f64 l l) l))
(*.f64 (+.f64 l l) l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))
(*.f64 k k)
(*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.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 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))))
(/.f64 t l)
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k)))
(*.f64 k (*.f64 k k))
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 (*.f64 k k) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 k k))
(/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k)))
(*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k))
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
Outputs
(/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l)) (/.f64 l k))
(/.f64 (/.f64 k l) (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t)) (/.f64 l k)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l k) (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l k) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t)) (/.f64 k l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t)) (/.f64 l k)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l k) (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t))) (*.f64 k #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t)) l) (*.f64 #s(literal 1 binary64) k)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t)) (neg.f64 l)) (*.f64 #s(literal 1 binary64) (neg.f64 k))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) (/.f64 (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 k t))) (*.f64 (neg.f64 k) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l (cos.f64 k)) (/.f64 l k)) (*.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l (neg.f64 l)) (cos.f64 k)) (*.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (neg.f64 k))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l (neg.f64 l)) (cos.f64 k)) (*.f64 (neg.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t))) k)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) (neg.f64 l)) (/.f64 l k)) (*.f64 (neg.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) (neg.f64 l)) (neg.f64 l)) (*.f64 (neg.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t))) (neg.f64 k))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 k t) l)) k)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 k t) l)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 k) (neg.f64 l)) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 k t) l)) (neg.f64 k))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l (neg.f64 l)) (cos.f64 k)) (*.f64 k (neg.f64 (*.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 (*.f64 l (cos.f64 k)) (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 k t) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l k) (*.f64 l (cos.f64 k))) (*.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)))))
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eval256.0ms (1.4%)

Memory
20.9MiB live, 470.9MiB allocated
Compiler

Compiled 43 077 to 3 332 computations (92.3% saved)

prune467.0ms (2.6%)

Memory
-8.8MiB live, 845.4MiB allocated
Pruning

60 alts after pruning (59 fresh and 1 done)

PrunedKeptTotal
New1 927311 958
Fresh182846
Picked415
Done101
Total1 950602 010
Accuracy
100.0%
Counts
2 010 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 k k) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 l t))))
85.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
87.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) k))))
72.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
94.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l)))))
78.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l)) k) k)))
69.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
96.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
92.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l)))))
75.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))))
82.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 (/.f64 k l) (*.f64 l (cos.f64 k))))))
76.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) k)))
93.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l))) (/.f64 #s(literal 1 binary64) l))))
75.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
76.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t))))
73.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
76.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.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 (/.f64 (+.f64 l l) t) (*.f64 k k)) (*.f64 k k)))
44.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (+.f64 k k) t) (*.f64 k k)) (*.f64 k k)))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
64.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
55.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k t) (*.f64 k k)) k)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k t))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
59.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
28.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
42.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
42.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
65.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
29.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
72.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
65.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
66.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
59.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
30.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
31.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 #s(literal -2 binary64) l) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
31.7%
#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) l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 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 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
73.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.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 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
62.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 k k) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
75.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) l))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
64.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
64.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 l (*.f64 k (*.f64 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 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t))))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))))))))
73.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (*.f64 (/.f64 #s(literal 1 binary64) k) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (cos.f64 k)) #s(literal -1 binary64)))))
43.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
43.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 l l #s(literal 0 binary64))))) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
Compiler

Compiled 2 475 to 1 373 computations (44.5% saved)

simplify213.0ms (1.2%)

Memory
58.4MiB live, 388.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))
cost-diff0
(*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))))
cost-diff0
(*.f64 (+.f64 k k) (neg.f64 l))
cost-diff0
(*.f64 l (*.f64 (+.f64 k k) (neg.f64 l)))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
cost-diff640
(/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
cost-diff0
(+.f64 l l)
cost-diff0
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k k)))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
cost-diff384
(/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k))
cost-diff0
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
cost-diff0
(+.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
cost-diff512
(/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
cost-diff0
(*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
cost-diff384
(*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))
Rules
7 606×lower-fma.f64
7 606×lower-fma.f32
6 262×lower-*.f32
6 234×lower-*.f64
1 678×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052522
080522
1164488
2566450
33063442
45864442
08444442
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)))
(*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))
(*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(*.f64 k t)
k
t
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
(tan.f64 k)
(/.f64 (sin.f64 k) l)
(sin.f64 k)
l
(/.f64 k l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(+.f64 k k)
k
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k))
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k k)))
(+.f64 l l)
l
(*.f64 t (*.f64 k k))
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 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 l (*.f64 (+.f64 k k) (neg.f64 l)))
l
(*.f64 (+.f64 k k) (neg.f64 l))
(+.f64 k k)
k
(neg.f64 l)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))
(*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))
t
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))
(/.f64 (sin.f64 k) (*.f64 l l))
(sin.f64 k)
k
(*.f64 l l)
l
(tan.f64 k)
(*.f64 k k)
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))) (*.f64 l l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))
(/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))) (*.f64 l l))
(*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(/.f64 (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k)))) l)
(*.f64 k t)
(*.f64 t k)
k
t
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) l)
(tan.f64 k)
(/.f64 (sin.f64 k) l)
(sin.f64 k)
l
(/.f64 k l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k (*.f64 k k)))))
(/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k (*.f64 k k))))
(+.f64 k k)
k
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 k (*.f64 t (*.f64 k (*.f64 k k))))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 k k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 k (*.f64 t (*.f64 k (*.f64 k k))))))
(/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k))
(/.f64 (+.f64 l l) (*.f64 k (*.f64 t (*.f64 k (*.f64 k k)))))
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k k)))
(/.f64 (+.f64 l l) (*.f64 k (*.f64 t k)))
(+.f64 l l)
l
(*.f64 t (*.f64 k k))
(*.f64 k (*.f64 t k))
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 l (*.f64 (+.f64 k k) (neg.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 l (-.f64 (neg.f64 l) l)) (*.f64 t (*.f64 k (*.f64 k k)))))
(/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 (*.f64 l (-.f64 (neg.f64 l) l)) (*.f64 t (*.f64 k (*.f64 k k))))
(*.f64 l (*.f64 (+.f64 k k) (neg.f64 l)))
(*.f64 l (*.f64 l (-.f64 (neg.f64 k) k)))
l
(*.f64 (+.f64 k k) (neg.f64 l))
(*.f64 l (-.f64 (neg.f64 k) k))
(+.f64 k k)
k
(neg.f64 l)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 k (*.f64 t (*.f64 k (*.f64 k k))))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 k k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.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 k (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))) (*.f64 l l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))) (*.f64 l l)))
(*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))
(/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))) (*.f64 l l))
t
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))
(*.f64 (sin.f64 k) (*.f64 (/.f64 (tan.f64 k) (*.f64 l l)) (*.f64 k k)))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l l))
(/.f64 (sin.f64 k) (*.f64 l l))
(sin.f64 k)
k
(*.f64 l l)
l
(tan.f64 k)
(*.f64 k k)

localize240.0ms (1.4%)

Memory
-26.2MiB live, 385.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.23793189180775
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))
accuracy3.018839650353424
(*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))
accuracy3.940536611487614
(/.f64 (sin.f64 k) (*.f64 l l))
accuracy8.037852475971565
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))
accuracy0.15234375
(*.f64 l (*.f64 (+.f64 k k) (neg.f64 l)))
accuracy2.9712507111727504
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy21.726217091718564
(/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy42.69139751183135
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
accuracy1.5727975209003249
(/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k))
accuracy7.129445399636825
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k k)))
accuracy7.659592983267461
(*.f64 t (*.f64 k k))
accuracy23.262933977411528
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
accuracy0.12337875976844202
(*.f64 (*.f64 k k) (*.f64 k k))
accuracy2.9712507111727504
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy4.309666046667093
(/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy29.363449891023784
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
accuracy0.2578125
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
accuracy0.27816838963812784
(/.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 t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
accuracy0.5553371365454978
(*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))
accuracy2.6582336358212695
(*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
Samples
57.0ms50×2valid
45.0ms135×0valid
30.0ms36×3valid
18.0ms35×1valid
Compiler

Compiled 413 to 44 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 26.0ms (28.1% of total)
ival-div: 25.0ms (27% of total)
adjust: 13.0ms (14% of total)
ival-tan: 7.0ms (7.6% of total)
ival-sin: 6.0ms (6.5% of total)
ival-pow2: 4.0ms (4.3% of total)
ival-add: 4.0ms (4.3% of total)
ival-pow: 3.0ms (3.2% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series80.0ms (0.5%)

Memory
7.0MiB live, 85.5MiB allocated
Counts
25 → 720
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) (patch (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (patch (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) (patch (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.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 k k) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (+.f64 k k) (patch (+.f64 k k) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))) (patch (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)) (patch (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.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 l l) (*.f64 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 l l) (*.f64 t (*.f64 k k))) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (patch (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) #<representation binary64>) () ())
#s(alt (+.f64 l l) (patch (+.f64 l l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) (patch (/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (patch (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 k k) (neg.f64 l)) (patch (*.f64 (+.f64 k k) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))) (patch (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)) (patch (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (patch (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* (pow k 4) t) (pow l 2)) (taylor 0 k) (#s(alt (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) (patch (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) (patch (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (* (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)))) (taylor 0 k) (#s(alt (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) (patch (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (* (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)))) (taylor 0 k) (#s(alt (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) (patch (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) (patch (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)) #<representation binary64>) () ())) ())
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#s(alt (pow k 4) (taylor -inf k) (#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf t) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (/ k (pow l 2)) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* k (+ (* -1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* k (+ (* (pow k 2) (- (* 1/120 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* k (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/5040 (/ (pow k 2) (pow l 2))) (* 1/120 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (*.f64 l l)) (patch (/.f64 (sin.f64 k) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow l 2)) (taylor 0 k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ (* 1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) (pow l 2))) (* 31/360 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf k) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin k) 2) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (patch (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) #<representation binary64>) () ())) ())
Calls

180 calls:

TimeVariablePointExpression
22.0ms
t
@0
(/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k))))
1.0ms
l
@0
(/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k))))
1.0ms
t
@0
(/ (+ k k) (* t (* (* k k) (* k k))))
1.0ms
l
@0
(/ (+ l l) (* t (* k k)))
1.0ms
t
@0
(/ (+ l l) (* t (* k k)))

simplify1.0s (5.7%)

Memory
-2.5MiB live, 1 470.0MiB allocated
Algorithm
egg-herbie
Rules
9 320×lower-fma.f64
9 320×lower-fma.f32
6 828×lower-*.f64
6 828×lower-*.f32
3 066×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01869818
16449798
225589554
363349548
468539546
576029546
080899462
Stop Event
iter limit
node limit
Counts
720 → 720
Calls
Call 1
Inputs
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
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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 4) t) (pow l 2))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (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)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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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 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 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)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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(/ (pow k 4) (pow l 2))
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(/ (* (pow k 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
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(/ (pow k 2) l)
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(/ (pow (sin k) 2) (* l (cos k)))
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(pow k 4)
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(* (pow k 2) t)
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(/ k (pow l 2))
(* k (+ (* -1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))
(* k (+ (* (pow k 2) (- (* 1/120 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(* k (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/5040 (/ (pow k 2) (pow l 2))) (* 1/120 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
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(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
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(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (pow k 2) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) (pow l 2))) (* 31/360 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
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(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
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(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
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(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
Outputs
(/ (* (pow k 4) t) (pow l 2))
(/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t) (*.f64 l l))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))
(* (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))))
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(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(/ k (pow l 2))
(/.f64 k (*.f64 l l))
(* k (+ (* -1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))
(*.f64 (/.f64 k (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* k (+ (* (pow k 2) (- (* 1/120 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(fma.f64 (*.f64 k (*.f64 k k)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 k (*.f64 l l)))
(* k (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/5040 (/ (pow k 2) (pow l 2))) (* 1/120 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(*.f64 k (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 k k) (*.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 #s(literal 1 binary64) (*.f64 l l)))))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (pow k 2) (pow l 2))
(/.f64 (*.f64 k k) (*.f64 l l))
(* (pow k 2) (+ (* 1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))
(*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(*.f64 k (fma.f64 k (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 k (*.f64 l l))))
(* (pow k 2) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) (pow l 2))) (* 31/360 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 l l)))))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/ (pow (sin k) 2) (* (pow l 2) (cos k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) (cos.f64 k)))

rewrite118.0ms (0.7%)

Memory
-15.8MiB live, 165.2MiB allocated
Rules
1 358×lower-*.f32
1 330×lower-*.f64
1 144×lower-/.f32
1 130×lower-/.f64
302×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052452
080418
1292388
02140388
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 719
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l)))
(*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(+.f64 k k)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 (+.f64 l l) (*.f64 t (*.f64 k k)))
(+.f64 l l)
(/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(*.f64 l (*.f64 (+.f64 k k) (neg.f64 l)))
(*.f64 (+.f64 k k) (neg.f64 l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))
(*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 t (*.f64 k k))
(/.f64 (sin.f64 k) (*.f64 l l))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))
Outputs
(/.f64 (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k)))) (/.f64 l k))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (*.f64 (/.f64 (sin.f64 k) l) k))))
(/.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (*.f64 (/.f64 (sin.f64 k) l) k)) l)
(/.f64 (neg.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (*.f64 (/.f64 (sin.f64 k) l) k))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k)))) #s(literal 1 binary64)) (/.f64 l k))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k)))) (neg.f64 k)) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k))))) (/.f64 l k))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k))))) (neg.f64 l))
(*.f64 k (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))))
(*.f64 k (*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) l)) (/.f64 k l)))
(*.f64 k (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k))))))
(*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))
(*.f64 (*.f64 k t) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)))
(*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 (*.f64 k t) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k)))) (/.f64 k l))
(*.f64 (/.f64 k l) (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k (*.f64 t (tan.f64 k)))))
(*.f64 (*.f64 k k) (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))))
(*.f64 (*.f64 k (*.f64 k t)) (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (*.f64 (tan.f64 k) (*.f64 k k)) t))
(*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l l)) (*.f64 k (*.f64 k t)))
(*.f64 (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)) t)
(*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))) (*.f64 k k))
(*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) (*.f64 k t))
(*.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (*.f64 (/.f64 (sin.f64 k) l) k)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 t (/.f64 (sin.f64 k) (*.f64 l l))) (*.f64 (tan.f64 k) (*.f64 k k)))
(*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)
(*.f64 (*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))) k) k)
(*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 (/.f64 k l) (*.f64 k t)) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 t (tan.f64 k)))) (/.f64 (sin.f64 k) l))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l))))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l))))) #s(literal 2 binary64))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (/.f64 (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 k k))) (*.f64 l l))))
(/.f64 (*.f64 k (*.f64 t (tan.f64 k))) (/.f64 l (sin.f64 k)))
(/.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (sin.f64 k)) l)
(/.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (sin.f64 k))) l)
(/.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) #s(literal 1 binary64)) (/.f64 l (sin.f64 k)))
(/.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (neg.f64 (sin.f64 k))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 k t)) l)
(*.f64 k (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) l)))
(*.f64 t (*.f64 k (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))))
(*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (*.f64 k t)))
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(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l l)) (*.f64 k k))
(*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k)
(*.f64 (*.f64 (tan.f64 k) (*.f64 k k)) (/.f64 (sin.f64 k) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 k k) (/.f64 (sin.f64 k) (*.f64 l l))) (tan.f64 k))
(/.f64 (tan.f64 k) (/.f64 l (sin.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (tan.f64 k) (sin.f64 k))))
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) l)
(/.f64 (*.f64 (sin.f64 k) (sin.f64 k)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (sin.f64 k) (sin.f64 k)) (*.f64 l (cos.f64 k)))
(/.f64 (*.f64 (sin.f64 k) #s(literal 1 binary64)) (*.f64 (cos.f64 k) (/.f64 l (sin.f64 k))))
(/.f64 (*.f64 (sin.f64 k) (neg.f64 (sin.f64 k))) (*.f64 (cos.f64 k) (neg.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 k)) (*.f64 (/.f64 l (sin.f64 k)) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (sin.f64 k) (/.f64 (sin.f64 k) l)) (cos.f64 k))
(/.f64 (*.f64 (/.f64 (sin.f64 k) l) (sin.f64 k)) (cos.f64 k))
(/.f64 (neg.f64 (*.f64 (tan.f64 k) (sin.f64 k))) (neg.f64 l))
(/.f64 (*.f64 (tan.f64 k) #s(literal 1 binary64)) (/.f64 l (sin.f64 k)))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 k)) (/.f64 l (sin.f64 k)))
(/.f64 (*.f64 (tan.f64 k) (neg.f64 (sin.f64 k))) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (tan.f64 k)) (neg.f64 l))
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))
(*.f64 (sin.f64 k) (*.f64 (/.f64 #s(literal 1 binary64) l) (tan.f64 k)))
(*.f64 (/.f64 (sin.f64 k) l) (tan.f64 k))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 #s(literal 1 binary64) l))
(exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64)))
(pow.f64 k #s(literal 4 binary64))
(pow.f64 (*.f64 k k) #s(literal 2 binary64))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 (*.f64 k (*.f64 k k)) k)
(*.f64 (pow.f64 (*.f64 k k) #s(literal 1 binary64)) (pow.f64 (*.f64 k k) #s(literal 1 binary64)))
(*.f64 k (*.f64 k t))
(*.f64 t (*.f64 k k))
(*.f64 (*.f64 k t) k)
(*.f64 (*.f64 k k) t)
(neg.f64 (/.f64 (sin.f64 k) (*.f64 l (neg.f64 l))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 k)) (*.f64 l l)))
(/.f64 (sin.f64 k) (*.f64 l l))
(/.f64 (/.f64 (sin.f64 k) l) l)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (sin.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (sin.f64 k) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 l l) (sin.f64 k)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l l) (sin.f64 k))))
(/.f64 (*.f64 (sin.f64 k) #s(literal 1 binary64)) (*.f64 l l))
(/.f64 (neg.f64 (/.f64 (sin.f64 k) l)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (sin.f64 k))) (neg.f64 (*.f64 l (neg.f64 l))))
(pow.f64 (/.f64 (*.f64 l l) (sin.f64 k)) #s(literal -1 binary64))
(*.f64 (sin.f64 k) (/.f64 #s(literal 1 binary64) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 #s(literal 1 binary64) l))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 k) (*.f64 l l)))
(*.f64 (neg.f64 (sin.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 l (neg.f64 l))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sin.f64 k))
(/.f64 (tan.f64 k) (/.f64 (*.f64 l l) (sin.f64 k)))
(/.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) l)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 (tan.f64 k) (sin.f64 k))))
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l l))
(/.f64 (*.f64 (sin.f64 k) (sin.f64 k)) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (sin.f64 k)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/.f64 (*.f64 (sin.f64 k) #s(literal 1 binary64)) (*.f64 (cos.f64 k) (/.f64 (*.f64 l l) (sin.f64 k))))
(/.f64 (*.f64 (sin.f64 k) (neg.f64 (sin.f64 k))) (*.f64 (cos.f64 k) (*.f64 l (neg.f64 l))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 k)) (*.f64 (/.f64 (*.f64 l l) (sin.f64 k)) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)) (*.f64 (*.f64 l (neg.f64 l)) (cos.f64 k)))
(/.f64 (*.f64 (sin.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (/.f64 (sin.f64 k) l) (sin.f64 k)) (*.f64 l (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (tan.f64 k) #s(literal 1 binary64)) (/.f64 (*.f64 l l) (sin.f64 k)))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 k)) (/.f64 (*.f64 l l) (sin.f64 k)))
(/.f64 (*.f64 (tan.f64 k) (neg.f64 (sin.f64 k))) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (sin.f64 k)) (cos.f64 k))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (tan.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (sin.f64 k) (/.f64 (sin.f64 k) (*.f64 l l))) (cos.f64 k))
(*.f64 (tan.f64 k) (/.f64 (sin.f64 k) (*.f64 l l)))
(*.f64 (sin.f64 k) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (tan.f64 k)))
(*.f64 (sin.f64 k) (/.f64 (tan.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (tan.f64 k) l))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 l l)))

eval190.0ms (1.1%)

Memory
20.4MiB live, 353.8MiB allocated
Compiler

Compiled 29 615 to 1 609 computations (94.6% saved)

prune423.0ms (2.4%)

Memory
-9.1MiB live, 531.9MiB allocated
Pruning

60 alts after pruning (55 fresh and 5 done)

PrunedKeptTotal
New1 544231 567
Fresh223254
Picked145
Done011
Total1 567601 627
Accuracy
100.0%
Counts
1 627 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 k k) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 l t))))
92.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t (tan.f64 k))) (sin.f64 k)) l) (/.f64 k l))))
85.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.f64 k k)))))
72.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
79.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))) k) k)))
96.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
74.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
92.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l)))))
80.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))
76.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) k)))
75.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
75.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
79.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k))))
67.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.f64 k)) (*.f64 k k)))))
67.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.f64 k k)))))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
64.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
55.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
30.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
29.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
51.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
8.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
31.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k t) (*.f64 k k)) k)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k t))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
28.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
59.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
42.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
65.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
27.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
72.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
65.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
66.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
31.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
59.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l l) l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
30.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 k k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
11.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.f64 l))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
73.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.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 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
31.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 k k) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
75.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) l))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
64.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
64.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 l (*.f64 k (*.f64 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 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) (*.f64 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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t))))))
73.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (*.f64 (/.f64 #s(literal 1 binary64) k) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (cos.f64 k)) #s(literal -1 binary64)))))
43.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 l l #s(literal 0 binary64))))) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.f64 k t) (*.f64 k (*.f64 k k))))))
54.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k (*.f64 k t))))))
32.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.f64 k (*.f64 k (*.f64 k t))))))
Compiler

Compiled 3 593 to 1 138 computations (68.3% saved)

regimes332.0ms (1.9%)

Memory
-17.3MiB live, 299.4MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.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 t (*.f64 k k)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))) 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 (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) 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 t l) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (*.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 (*.f64 k (*.f64 t (tan.f64 k))) (sin.f64 k)) l) (/.f64 k l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (/.f64 (cos.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t 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 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) l))) (/.f64 #s(literal 1 binary64) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (/.f64 k (*.f64 (cos.f64 k) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 k k) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 l t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 (/.f64 k l) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 l t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (/.f64 k (*.f64 l l))) (/.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) l) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l l)) (/.f64 k (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (*.f64 l (cos.f64 k))) (/.f64 k l))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (sin.f64 k) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 t t)) k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(/.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))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k t) (/.f64 k t)))))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (/.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.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 l (+.f64 l l)) (*.f64 (/.f64 #s(literal 1 binary64) k) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) (cos.f64 k)) #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k (/.f64 (*.f64 t t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (*.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 l l #s(literal 0 binary64))))) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (sin.f64 k) l)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k)))) l) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
Calls

6 calls:

67.0ms
k
58.0ms
t
58.0ms
(*.f64 l l)
55.0ms
(*.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)))
37.0ms
l
Results
AccuracySegmentsBranch
96.2%1t
96.2%1l
96.2%1k
96.2%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
96.2%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
96.2%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes172.0ms (1%)

Memory
37.9MiB live, 306.2MiB allocated
Counts
87 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l 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 (/.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 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.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 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.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 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.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 t (*.f64 k k)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))) 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 (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l)))))
Calls

6 calls:

43.0ms
t
35.0ms
l
25.0ms
(*.f64 l l)
23.0ms
k
21.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
92.7%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
92.7%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)))
92.7%1(*.f64 l l)
92.7%1t
92.7%1l
96.0%2k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes209.0ms (1.2%)

Memory
-13.3MiB live, 334.1MiB allocated
Counts
86 → 3
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l 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 (/.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 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.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 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.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 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.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 t (*.f64 k k)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 t (tan.f64 k)) (/.f64 (sin.f64 k) (*.f64 l l))) 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 (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 l l)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))
Calls

6 calls:

48.0ms
(/.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))))
40.0ms
t
29.0ms
k
28.0ms
l
23.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
91.7%3l
87.1%2t
84.9%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))))
84.9%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)))
91.7%3(*.f64 l l)
92.4%3k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes86.0ms (0.5%)

Memory
14.5MiB live, 171.7MiB allocated
Counts
85 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.f64 k (*.f64 k (*.f64 k t))))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) (+.f64 l l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))
Calls

3 calls:

32.0ms
l
25.0ms
k
23.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
89.0%2l
89.0%2(*.f64 l l)
89.1%2k
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes71.0ms (0.4%)

Memory
-8.7MiB live, 189.1MiB allocated
Counts
78 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l 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 (/.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 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.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 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.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 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sin.f64 k) (tan.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 t (*.f64 k k)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k))))
Calls

3 calls:

23.0ms
l
22.0ms
k
21.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
87.1%2l
87.1%2(*.f64 l l)
87.4%2k
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes149.0ms (0.8%)

Memory
-5.5MiB live, 331.5MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l 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 (/.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 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.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 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.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 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k)))))
Calls

6 calls:

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)))
26.0ms
l
23.0ms
t
21.0ms
k
19.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
79.1%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))))
79.1%2(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
81.9%3t
84.7%2l
84.7%2(*.f64 l l)
85.0%2k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes97.0ms (0.5%)

Memory
24.6MiB live, 170.0MiB allocated
Counts
73 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l 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 (/.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 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.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 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.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 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (fma.f64 t (*.f64 t (/.f64 t (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 l l) (cos.f64 k)) (*.f64 (*.f64 t (*.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
Calls

4 calls:

27.0ms
l
24.0ms
t
21.0ms
k
20.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
79.7%2t
78.0%2l
78.0%2(*.f64 l l)
78.7%2k
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes83.0ms (0.5%)

Memory
16.5MiB live, 134.1MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (fma.f64 l l #s(literal 0 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l 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 (/.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 l (+.f64 l l)) #s(approx (/ (cos k) (* k (* k (* t (pow (sin k) 2))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 k k) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.f64 (fma.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) #s(approx (/ (* t (pow (sin k) 2)) (* l (* l (cos k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (/.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 l l)) (/.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 l (+.f64 l l)) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k (*.f64 t #s(approx (pow (sin k) 2) (*.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 t (*.f64 (*.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (*.f64 l l))) (tan.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 k k) (/.f64 (*.f64 t #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))) k)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.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 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
Calls

4 calls:

24.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
22.0ms
t
18.0ms
k
16.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.4%2k
75.6%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))))
75.6%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)))
78.1%2t
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes166.0ms (0.9%)

Memory
-27.0MiB live, 168.5MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (* l (cos k))) (*.f64 k (/.f64 (*.f64 t (*.f64 k k)) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l))) (/.f64 k l))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
Calls

6 calls:

82.0ms
(/.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))))
17.0ms
l
17.0ms
(*.f64 l l)
17.0ms
t
15.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
75.6%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))))
75.6%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)))
75.6%1k
75.6%1l
75.6%1(*.f64 l l)
75.6%1t
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes119.0ms (0.7%)

Memory
4.5MiB live, 143.3MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 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 (*.f64 (+.f64 k k) k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 k k) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 l (*.f64 (*.f64 #s(literal -2 binary64) 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 l (*.f64 (+.f64 k k) (neg.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 l (*.f64 (+.f64 l l) (neg.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 (/.f64 (+.f64 k k) 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) (*.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 k k) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 (neg.f64 l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (+.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 t (*.f64 k (neg.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 k k) (neg.f64 l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 #s(approx (* (/ (sin k) (* l l)) (tan k)) (/.f64 (*.f64 k k) (*.f64 l l))) (*.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 l (/.f64 #s(literal 1 binary64) (+.f64 k k))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 (+.f64 k k) k) (neg.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 (*.f64 (+.f64 k k) (*.f64 l (neg.f64 l))) (*.f64 t (*.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 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
Calls

6 calls:

36.0ms
(*.f64 l l)
23.0ms
t
17.0ms
l
14.0ms
k
12.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
73.9%1t
73.9%1k
73.9%1l
73.9%1(*.f64 l l)
73.9%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))))
73.9%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes66.0ms (0.4%)

Memory
-9.7MiB live, 147.5MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 (+.f64 l 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
Calls

6 calls:

14.0ms
t
11.0ms
k
10.0ms
(*.f64 l l)
10.0ms
l
9.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
70.7%1t
72.6%2l
72.6%2(*.f64 l l)
70.7%1k
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)))
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes63.0ms (0.4%)

Memory
5.0MiB live, 116.1MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (+.f64 l 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 l (*.f64 (+.f64 l 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 (+.f64 k k) (*.f64 k 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 k k) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
Calls

6 calls:

14.0ms
l
11.0ms
t
10.0ms
(/.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))))
9.0ms
k
9.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
70.7%1t
70.7%1k
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%1l
70.7%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes54.0ms (0.3%)

Memory
-8.6MiB live, 74.5MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (+.f64 l l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 k k) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (neg.f64 l) (/.f64 (+.f64 k k) (*.f64 (*.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 l (*.f64 #s(literal -2 binary64) 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 (+.f64 k k) (neg.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) t) (/.f64 l (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.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 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
Calls

6 calls:

13.0ms
k
9.0ms
t
8.0ms
l
8.0ms
(*.f64 l l)
7.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
70.7%1t
70.7%1l
70.7%1(*.f64 l l)
70.7%1k
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)))
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes28.0ms (0.2%)

Memory
-3.2MiB live, 35.6MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 (*.f64 k 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 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))) #s(approx (/ (* l (* (+ k k) (neg l))) (* t (* (* k k) (* k k)))) (/.f64 (*.f64 (*.f64 l l) #s(literal -2 binary64)) (*.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 #s(literal 2 binary64) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 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 k k) (neg.f64 (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 (*.f64 k k) (*.f64 t (*.f64 k (neg.f64 k))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
Calls

6 calls:

5.0ms
t
5.0ms
k
5.0ms
l
4.0ms
(*.f64 l l)
4.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
63.6%1t
63.6%1l
63.6%1(*.f64 l l)
63.6%1k
63.6%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)))
63.6%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))))
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes14.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 (*.f64 k (*.f64 k 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 l l) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k t))))
Calls

6 calls:

3.0ms
l
2.0ms
t
2.0ms
k
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
63.6%1t
63.6%1k
63.6%1l
63.6%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))))
63.6%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)))
63.6%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes13.0ms (0.1%)

Memory
-18.7MiB live, 20.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l 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 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
Calls

6 calls:

3.0ms
t
2.0ms
l
2.0ms
k
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
63.6%1t
63.6%1k
63.6%1l
63.6%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))))
63.6%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)))
63.6%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes10.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB 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))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.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 k k) (*.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 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
Calls

6 calls:

2.0ms
k
2.0ms
t
2.0ms
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))))
Results
AccuracySegmentsBranch
59.2%1t
59.2%1k
59.2%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
59.2%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
59.2%1(*.f64 l l)
59.2%1l
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes10.0ms (0.1%)

Memory
-21.7MiB live, 19.0MiB 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))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k (*.f64 k t))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k (*.f64 k t))))))
Calls

6 calls:

3.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
1.0ms
k
1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms
l
1.0ms
t
Results
AccuracySegmentsBranch
54.9%1k
54.9%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)))
54.9%1l
54.9%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))))
54.9%1(*.f64 l l)
54.9%1t
Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch44.0ms (0.2%)

Memory
4.8MiB live, 82.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
2.130670998954499e-158
7.4550694482668005e-152
Samples
13.0ms45×3valid
12.0ms46×2valid
4.0ms35×0valid
3.0ms18×1valid
Compiler

Compiled 418 to 259 computations (38% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
adjust: 6.0ms (22.4% of total)
ival-div: 5.0ms (18.7% of total)
ival-mult: 4.0ms (14.9% of total)
ival-pow2: 3.0ms (11.2% of total)
ival-add: 3.0ms (11.2% of total)
ival-sub: 2.0ms (7.5% of total)
ival-pow: 2.0ms (7.5% of total)
ival-tan: 1.0ms (3.7% 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)

bsearch70.0ms (0.4%)

Memory
9.5MiB live, 96.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.228158437324576e+154
1.7059418357209085e+156
34.0ms
1.1950748810649213e-107
2.399570190824326e-104
Samples
23.0ms128×0valid
15.0ms50×2valid
8.0ms28×3valid
7.0ms34×1valid
Compiler

Compiled 683 to 429 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 11.0ms (25.4% of total)
adjust: 6.0ms (13.9% of total)
ival-mult: 6.0ms (13.9% of total)
ival-sin: 5.0ms (11.6% of total)
ival-pow2: 4.0ms (9.2% of total)
ival-tan: 4.0ms (9.2% of total)
ival-pow: 3.0ms (6.9% of total)
ival-sub: 2.0ms (4.6% of total)
ival-add: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
7.3MiB live, 45.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
2.6969304178922255e-26
6.016867095893971e-24
Samples
11.0ms30×2valid
5.0ms46×0valid
4.0ms23×1valid
4.0ms13×3valid
Compiler

Compiled 332 to 207 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 7.0ms (35.3% of total)
adjust: 3.0ms (15.1% of total)
ival-mult: 3.0ms (15.1% of total)
ival-pow2: 2.0ms (10.1% of total)
ival-sub: 1.0ms (5% of total)
ival-tan: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
ival-pow: 1.0ms (5% of total)
ival-sin: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.6969304178922255e-26
6.016867095893971e-24
Compiler

Compiled 332 to 207 computations (37.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.6969304178922255e-26
6.016867095893971e-24
Compiler

Compiled 332 to 207 computations (37.7% saved)

bsearch28.0ms (0.2%)

Memory
-1.2MiB live, 36.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
8.709755169127035e-17
6.769537700383202e-16
Samples
10.0ms62×0valid
8.0ms17×2valid
2.0ms13×1valid
1.0ms3valid
Compiler

Compiled 301 to 175 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-tan: 5.0ms (27.1% of total)
ival-mult: 3.0ms (16.3% of total)
adjust: 2.0ms (10.9% of total)
ival-div: 2.0ms (10.9% of total)
ival-sin: 2.0ms (10.9% of total)
ival-pow2: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
ival-add: 1.0ms (5.4% of total)
ival-pow: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch8.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
1.3409448356951152e-73
9.710926300652067e-72
Samples
4.0ms24×0valid
1.0ms1valid
1.0ms2valid
Compiler

Compiled 115 to 71 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (22.1% of total)
ival-tan: 1.0ms (22.1% of total)
ival-mult: 1.0ms (22.1% of total)
ival-sin: 1.0ms (22.1% of total)
adjust: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.247272160472452e-180
1.121044280993928e-172
Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify15.0ms (0.1%)

Memory
-8.2MiB live, 29.3MiB allocated
Algorithm
egg-herbie
Rules
82×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511239
11951239
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
(if (<=.f64 k #s(literal 4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l))))))
(if (<=.f64 k #s(literal 6939796547358567/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (if (<=.f64 k #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k)))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)) (*.f64 k k))))))
(if (<=.f64 t #s(literal 3143773488566009/10141204801825835211973625643008 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (/.f64 t l) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))))
(if (<=.f64 t #s(literal 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t l) (*.f64 #s(approx (* (tan k) (/ (sin k) l)) (/.f64 (*.f64 k k) l)) (*.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 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
(if (<=.f64 (*.f64 l l) #s(literal 583992399055641/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (*.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 l (+.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (+.f64 l l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 k (*.f64 k 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 l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k (*.f64 k t))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k t) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 t k) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l))) (/.f64 k l))))
(if (<=.f64 k #s(literal 4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) k)) (*.f64 k (/.f64 t l))))))
(if (<=.f64 k #s(literal 4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 t k)) l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (*.f64 k (/.f64 (sin.f64 k) l))) (*.f64 k (/.f64 t l))))))
(if (<=.f64 k #s(literal 6939796547358567/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (if (<=.f64 k #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k)))))
(if (<=.f64 k #s(literal 6939796547358567/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 t k)) l)))))) (if (<=.f64 k #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (tan.f64 k) (/.f64 (sin.f64 k) l)) (/.f64 t l))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 k (tan.f64 k)))))))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k))) k))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 t k)) l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 t (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 k (tan.f64 k))))))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 k t)) l))) (/.f64 k l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 (tan.f64 k) k)) k)))))
(if (<=.f64 k #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) #s(approx (* (* k t) (* (tan k) (/ (sin k) l))) (*.f64 k (/.f64 (*.f64 k (*.f64 t k)) l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (*.f64 k (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 k (tan.f64 k))))))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 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 l l) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 k k) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ k k) (* t (* (* k k) (* k k)))) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k (*.f64 t k))))))

soundness1.7s (9.8%)

Memory
-14.6MiB live, 1 415.1MiB allocated
Rules
10 110×lower-fma.f64
10 110×lower-fma.f32
9 836×lower-fma.f64
9 836×lower-fma.f32
9 320×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030311858
1101711780
2384411774
0812811575
063562
0100532
1363474
22487474
08350474
069537
0115513
1408466
23125449
08507449
01062538
13592534
215472464
350802464
474792464
576952464
677212464
777252464
877252464
088132446
01869818
16449798
225589554
363349548
468539546
576029546
080899462
052452
080418
1292388
02140388
024911532
185411416
2306811068
0817310872
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 114 to 1 068 computations (49.5% saved)

preprocess234.0ms (1.3%)

Memory
19.2MiB live, 329.1MiB allocated
Remove

(negabs t)

(abs l)

(abs k)

Compiler

Compiled 1 916 to 792 computations (58.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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