Toniolo and Linder, Equation (10-)

Time bar (total: 13.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze742.0ms (5.5%)

Memory
34.4MiB live, 1 244.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
2%2%97.9%0.1%0%0%0%10
2.9%2.9%96.9%0.1%0%0%0%11
3.8%3.8%96.1%0.1%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.1s (23%)

Memory
-119.1MiB live, 3 835.7MiB allocated
Samples
903.0ms4 348×0valid
655.0ms1 527×2valid
431.0ms1 302×3valid
302.0ms1 076×1valid
1.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 270.0ms (14.4% of total)
ival-div: 267.0ms (14.3% of total)
adjust: 259.0ms (13.8% of total)
ival-pow2: 234.0ms (12.5% of total)
ival-pow: 223.0ms (11.9% of total)
ival-sin: 218.0ms (11.7% of total)
ival-tan: 176.0ms (9.4% of total)
ival-add: 128.0ms (6.8% of total)
ival-sub: 74.0ms (4% of total)
exact: 12.0ms (0.6% of total)
ival-true: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain314.0ms (2.3%)

Memory
-10.4MiB live, 599.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
850-1(-8.663018532942468e+70 -1.0116945139141177e+264 -3.4763461397013037e+108)(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
821(6.068096486397433e-197 -2.176135077142973e-133 -2.458997553470978e+217)3(7.757738469769458e-100 1.022092878866883e-157 -1.8549258689155197e+43)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
560-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
120-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
110-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
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-(/.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-(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))cancellation560
*.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*u330
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow89
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow66
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow77
(pow.f64 t #s(literal 3 binary64))overflow100
(*.f64 l l)overflow68
(/.f64 k t)underflow36
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow77
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow77
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.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*o330
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow71
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow95
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow84
(pow.f64 t #s(literal 3 binary64))underflow84
(*.f64 l l)underflow57
(/.f64 k t)overflow25
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow60
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow60
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow60
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o300
(pow.f64 t #s(literal 3 binary64))overflow100
(*.f64 l l)overflow68
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u270
(pow.f64 t #s(literal 3 binary64))underflow84
(*.f64 l l)underflow57
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o120
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o110
*.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*u110
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n100
(pow.f64 t #s(literal 3 binary64))underflow84
*.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*o70
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n50
(pow.f64 t #s(literal 3 binary64))overflow100
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o40
(*.f64 l l)overflow68
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u40
(*.f64 l l)underflow57
Confusion
Predicted +Predicted -
+1762
-2751
Precision
0.8669950738916257
Recall
0.9887640449438202
Confusion?
Predicted +Predicted MaybePredicted -
+17602
-27051
Precision?
0.8669950738916257
Recall?
0.9887640449438202
Freqs
test
numberfreq
053
1164
238
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms246×0valid
45.0ms98×3valid
34.0ms92×2valid
21.0ms76×1valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 22.0ms (20.4% of total)
ival-mult: 18.0ms (16.7% of total)
adjust: 17.0ms (15.8% of total)
ival-tan: 12.0ms (11.1% of total)
ival-sin: 10.0ms (9.3% of total)
ival-pow2: 9.0ms (8.4% of total)
ival-pow: 9.0ms (8.4% of total)
ival-sub: 5.0ms (4.6% of total)
ival-add: 5.0ms (4.6% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess240.0ms (1.8%)

Memory
-1.4MiB live, 273.7MiB 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) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))
Symmetry

(abs k)

(abs l)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 25 to 19 computations (24% saved)

simplify155.0ms (1.1%)

Memory
23.9MiB live, 252.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
cost-diff0
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
cost-diff0
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 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) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)

localize164.0ms (1.2%)

Memory
-30.6MiB live, 214.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.9028561819835748
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
accuracy13.037004051541185
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy18.67904547210574
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy19.86236025320967
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.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
23.0ms123×0valid
22.0ms49×3valid
14.0ms46×2valid
9.0ms38×1valid
Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
adjust: 8.0ms (16.2% of total)
ival-mult: 8.0ms (16.2% of total)
ival-div: 7.0ms (14.2% of total)
ival-pow2: 7.0ms (14.2% of total)
ival-tan: 5.0ms (10.1% of total)
ival-sin: 5.0ms (10.1% of total)
ival-pow: 3.0ms (6.1% of total)
ival-add: 3.0ms (6.1% of total)
ival-sub: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
15.6MiB live, 87.4MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#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 (*.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 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (patch (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())
#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>) () ())
Outputs
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#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 (/ (pow k 2) (pow t 2)) (taylor 0 t) (#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 (/ (pow k 2) (pow t 2)) (taylor 0 t) (#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 (/ (pow k 2) (pow t 2)) (taylor 0 t) (#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 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#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>) () ())) ())
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Calls

9 calls:

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

simplify239.0ms (1.8%)

Memory
19.3MiB live, 322.4MiB allocated
Algorithm
egg-herbie
Rules
29 786×lower-fma.f64
29 786×lower-fma.f32
8 268×lower-*.f64
8 268×lower-*.f32
4 294×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0902036
12962036
211981960
348141956
476821956
085611938
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(/ (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 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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (* (pow k 2) (* 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 (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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (* (pow k 2) (* 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 (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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))
(* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))
(/ (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 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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow 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 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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow 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 (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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (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 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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (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 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) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
Outputs
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 (/.f64 k t) t) k)
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
(* (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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(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
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(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
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(/ (* (pow t 3) (sin k)) (pow l 2))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
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(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
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(/ (pow t 3) (pow l 2))
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(/ (pow t 3) (pow l 2))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
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(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
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(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
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(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
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(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
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(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
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(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
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(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
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(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
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(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
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(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
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(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)

rewrite209.0ms (1.5%)

Memory
6.0MiB live, 318.4MiB allocated
Rules
8 098×lower-fma.f64
8 098×lower-fma.f32
5 384×lower-*.f32
5 376×lower-*.f64
3 694×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01862
03062
110558
273354
0862454
Stop Event
iter limit
node limit
iter limit
Counts
5 → 877
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.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))
Outputs
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eval134.0ms (1%)

Memory
3.1MiB live, 272.8MiB allocated
Compiler

Compiled 33 940 to 3 336 computations (90.2% saved)

prune73.0ms (0.5%)

Memory
0.1MiB live, 128.3MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1 016171 033
Fresh000
Picked101
Done000
Total1 017171 034
Accuracy
96.2%
Counts
1 034 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 k t) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 k t) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))))
47.1%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (*.f64 (tan.f64 k) (sin.f64 k)))) l))
65.1%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
51.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
53.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (/.f64 l t) t))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
53.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (tan.f64 k) (sin.f64 k)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
24.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))
25.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t)))))
50.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 t (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
65.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
35.5%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (/.f64 k l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
61.2%
(/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (/.f64 (*.f64 t (/.f64 t l)) l) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
56.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))))
59.3%
(/.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 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
70.0%
(/.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 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
70.0%
(/.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 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
89.5%
(/.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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))))
Compiler

Compiled 852 to 586 computations (31.2% saved)

simplify232.0ms (1.7%)

Memory
-10.0MiB live, 259.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff384
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t)))
cost-diff0
(*.f64 t (/.f64 t l))
cost-diff0
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))
cost-diff0
(/.f64 t l)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
cost-diff0
(pow.f64 k #s(literal 8 binary64))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))))
cost-diff320
(fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
cost-diff0
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
cost-diff0
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
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 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
cost-diff0
(/.f64 (/.f64 k (cos.f64 k)) l)
cost-diff0
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))))
Rules
25 304×lower-fma.f32
25 298×lower-fma.f64
6 142×lower-*.f32
6 108×lower-*.f64
3 754×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071715
0119703
1223683
2687669
33617666
47981666
08027663
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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 k (cos.f64 k))
k
(cos.f64 k)
l
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
l
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
(fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(pow.f64 k #s(literal 8 binary64))
k
#s(literal 8 binary64)
(*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)))
(/.f64 t (*.f64 l l))
t
(*.f64 l l)
l
(fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))
#s(literal 173/5040 binary64)
(*.f64 k k)
#s(literal 31/360 binary64)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
(fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
#s(literal 2 binary64)
(*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))))
(/.f64 t l)
t
l
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))
(*.f64 t (/.f64 t l))
(*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))
(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(tan.f64 k)
k
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(sin.f64 k)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.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 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t)
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t)))
(*.f64 (tan.f64 k) (sin.f64 k))
(tan.f64 k)
k
(sin.f64 k)
(*.f64 l (/.f64 (/.f64 l t) t))
l
(/.f64 (/.f64 l t) t)
(/.f64 l t)
t
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (/.f64 (/.f64 k (cos.f64 k)) l) t) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) t) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) t) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 k (cos.f64 k))
k
(cos.f64 k)
l
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
l
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) 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 t (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) l) l) (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 t (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) l) l) (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l)))))
(fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(*.f64 t (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) l) l) (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l))))
(pow.f64 k #s(literal 8 binary64))
k
#s(literal 8 binary64)
(*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) l) l) t)
(/.f64 t (*.f64 l l))
t
(*.f64 l l)
l
(fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))
(fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))
#s(literal 173/5040 binary64)
(*.f64 k k)
#s(literal 31/360 binary64)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) t) (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l))
(fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (sin.f64 k))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (/.f64 (sin.f64 k) l))
(/.f64 t l)
t
l
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) (sin.f64 k)) (*.f64 (/.f64 t l) t))
(*.f64 t (/.f64 t l))
(*.f64 (/.f64 t l) t)
(*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))
(*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) (sin.f64 k))
(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k))
(tan.f64 k)
k
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(sin.f64 k)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (sin.f64 k))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (/.f64 (sin.f64 k) l))
(*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t)
(*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t)))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 k) l) t) l) (*.f64 (tan.f64 k) t))
(*.f64 (tan.f64 k) (sin.f64 k))
(tan.f64 k)
k
(sin.f64 k)
(*.f64 l (/.f64 (/.f64 l t) t))
(*.f64 (/.f64 (/.f64 l t) t) l)
l
(/.f64 (/.f64 l t) t)
(/.f64 l t)
t
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)

localize340.0ms (2.5%)

Memory
7.1MiB live, 441.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.013310519383198
(*.f64 l (/.f64 (/.f64 l t) t))
accuracy8.943070363953552
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t)))
accuracy13.037004051541185
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy19.86236025320967
(*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy0.5521906862378849
(*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))
accuracy0.5816953177617071
(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
accuracy8.130493053602462
(*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))))
accuracy22.392321806520282
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))
accuracy7.701325033765241
(*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)))
accuracy8.527076842808212
(fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
accuracy9.983269569725014
(/.f64 t (*.f64 l l))
accuracy21.811119250275354
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
accuracy2.3253754049093165
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
accuracy4.123535280741768
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
accuracy5.37991645823083
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
accuracy21.227125841827394
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
accuracy0.22103500976844204
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy0.7413966254300474
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
accuracy4.964054406232779
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
accuracy6.45139132253211
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
Samples
96.0ms123×0valid
65.0ms49×3valid
53.0ms46×2valid
40.0ms38×1valid
Compiler

Compiled 602 to 64 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 45.0ms (28.7% of total)
ival-div: 35.0ms (22.3% of total)
adjust: 19.0ms (12.1% of total)
const: 11.0ms (7% of total)
ival-pow: 11.0ms (7% of total)
ival-pow2: 8.0ms (5.1% of total)
ival-sin: 8.0ms (5.1% of total)
ival-add: 7.0ms (4.5% of total)
ival-tan: 5.0ms (3.2% of total)
ival-cos: 5.0ms (3.2% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series269.0ms (2%)

Memory
-20.5MiB live, 261.3MiB allocated
Counts
30 → 900
Calls
Call 1
Inputs
#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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 k (cos.f64 k)) l) (patch (/.f64 (/.f64 k (cos.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 (pow.f64 k #s(literal 4 binary64)) l) l) t))) (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 (pow.f64 k #s(literal 4 binary64)) l) l) t))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t) (patch (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) (patch (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))) (patch (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))) #<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)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))) #<representation binary64>) () ())
#s(alt (pow.f64 k #s(literal 8 binary64)) (patch (pow.f64 k #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))))) #<representation binary64>) () ())
#s(alt (/.f64 t l) (patch (/.f64 t l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))) (patch (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))) #<representation binary64>) () ())
#s(alt (*.f64 t (/.f64 t l)) (patch (*.f64 t (/.f64 t l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) (patch (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) #<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 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.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 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.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 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (patch (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (patch (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (patch (/.f64 (pow.f64 k #s(literal 4 binary64)) l) #<representation binary64>) () ())
#s(alt (/.f64 t (*.f64 l l)) (patch (/.f64 t (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (patch (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))) (patch (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (patch (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)) (patch (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)) #<representation binary64>) () ())
#s(alt (*.f64 l (/.f64 (/.f64 l t) t)) (patch (*.f64 l (/.f64 (/.f64 l t) t)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
61.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ (pow k 4) l) l) t) (/ (/ (pow k 4) l) l) (+ (* (pow k 8) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360))) (* (+ (* 1/6 (* k k)) 1) (* (/ (/ (pow k 4) l) l) t))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow k 8) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (* t (/ t l)) (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (pow (sin k) 2) t) k) l) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (pow k 4) l) (/ t (* l l)) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360)) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (* (tan k) (pow (/ k t) 2)) (* (* (tan k) (pow (/ k t) 2)) (sin k)) (* l (/ (/ l t) t)))
53.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ (pow k 4) l) l) t) (/ (/ (pow k 4) l) l) (+ (* (pow k 8) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360))) (* (+ (* 1/6 (* k k)) 1) (* (/ (/ (pow k 4) l) l) t))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow k 8) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (* t (/ t l)) (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (pow (sin k) 2) t) k) l) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (pow k 4) l) (/ t (* l l)) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360)) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (* (tan k) (pow (/ k t) 2)) (* (* (tan k) (pow (/ k t) 2)) (sin k)) (* l (/ (/ l t) t)))
32.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ (pow k 4) l) l) t) (/ (/ (pow k 4) l) l) (+ (* (pow k 8) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360))) (* (+ (* 1/6 (* k k)) 1) (* (/ (/ (pow k 4) l) l) t))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow k 8) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (* t (/ t l)) (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (pow (sin k) 2) t) k) l) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (pow k 4) l) (/ t (* l l)) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360)) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (* (tan k) (pow (/ k t) 2)) (* (* (tan k) (pow (/ k t) 2)) (sin k)) (* l (/ (/ l t) t)))
13.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ (pow k 4) l) l) t) (/ (/ (pow k 4) l) l) (+ (* (pow k 8) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360))) (* (+ (* 1/6 (* k k)) 1) (* (/ (/ (pow k 4) l) l) t))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow k 8) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (* t (/ t l)) (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (pow (sin k) 2) t) k) l) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (pow k 4) l) (/ t (* l l)) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360)) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (* (tan k) (pow (/ k t) 2)) (* (* (tan k) (pow (/ k t) 2)) (sin k)) (* l (/ (/ l t) t)))
11.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ (pow k 4) l) l) t) (/ (/ (pow k 4) l) l) (+ (* (pow k 8) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360))) (* (+ (* 1/6 (* k k)) 1) (* (/ (/ (pow k 4) l) l) t))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow k 8) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (* t (/ t l)) (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) t) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (pow (sin k) 2) t) k) l) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (pow k 4) l) (/ t (* l l)) (* (/ t (* l l)) (+ (* 173/5040 (* k k)) 31/360)) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (* (tan k) (pow (/ k t) 2)) (* (* (tan k) (pow (/ k t) 2)) (sin k)) (* l (/ (/ l t) t)))

simplify224.0ms (1.7%)

Memory
47.0MiB live, 269.5MiB allocated
Algorithm
egg-herbie
Rules
13 466×lower-fma.f64
13 466×lower-fma.f32
6 808×lower-*.f64
6 808×lower-*.f32
5 838×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034213350
1119313302
2453612844
0837112615
Stop Event
iter limit
node limit
Counts
900 → 900
Calls
Call 1
Inputs
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (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)))))
(/ (* (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) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ t l)
(/ t l)
(/ t l)
(/ t 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 t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (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)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (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) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (pow l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
(/ (pow l 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)))))
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(* 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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ t l)
(/ t l)
(/ t l)
(/ t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
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(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
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(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (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)))))
(/ (* (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)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (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) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (sin k)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ (pow l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
(/ (pow l 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)))))
(/ (* (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)))))
(/ (* (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) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* -1 (* t (+ (* -1 (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2))) (* -1 (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))))
(* -1 (* t (+ (* -1 (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2))) (* -1 (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))))
(* -1 (* t (+ (* -1 (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2))) (* -1 (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))))
(* -1 (* t (+ (* -1 (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2))) (* -1 (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
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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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ t l)
(/ t l)
(/ t l)
(/ t 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 t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 2) (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)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (pow k 4) l)
(/ (pow k 4) l)
(/ (pow k 4) l)
(/ (pow k 4) l)
(/ t (pow l 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ t (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (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 l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
(/ (pow l 2) (pow t 2))
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 (pow.f64 k #s(literal 8 binary64)) l))) t)
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 (pow.f64 k #s(literal 8 binary64)) l))) t)
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 (pow.f64 k #s(literal 8 binary64)) l))) t)
(* t (+ (/ (* (pow k 4) (+ 1 (* 1/6 (pow k 2)))) (pow l 2)) (/ (* (pow k 8) (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 (pow.f64 k #s(literal 8 binary64)) l))) t)
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/ t l)
(/.f64 t l)
(/ t l)
(/.f64 t l)
(/ t l)
(/.f64 t l)
(/ t l)
(/.f64 t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l))
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l))
(/ (pow t 2) l)
(*.f64 t (/.f64 t l))
(/ (pow t 2) l)
(*.f64 t (/.f64 t l))
(/ (pow t 2) l)
(*.f64 t (/.f64 t l))
(/ (pow t 2) l)
(*.f64 t (/.f64 t l))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) t) (*.f64 (*.f64 (cos.f64 k) l) l))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) t) (*.f64 (*.f64 (cos.f64 k) l) l))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) t) (*.f64 (*.f64 (cos.f64 k) l) l))
(/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) t) (*.f64 (*.f64 (cos.f64 k) l) l))
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/ t (pow l 2))
(/.f64 (/.f64 t l) l)
(/ t (pow l 2))
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(/ t (pow l 2))
(/.f64 (/.f64 t l) l)
(/ t (pow l 2))
(/.f64 (/.f64 t l) l)
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 t l))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 t l))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 t l))
(/ (* t (+ 31/360 (* 173/5040 (pow k 2)))) (pow l 2))
(*.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) l) (/.f64 t l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (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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(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (pow l 2) (pow t 2))
(*.f64 (/.f64 l t) (/.f64 l t))
(/ (pow l 2) (pow t 2))
(*.f64 (/.f64 l t) (/.f64 l t))
(/ (pow l 2) (pow t 2))
(*.f64 (/.f64 l t) (/.f64 l t))
(/ (pow l 2) (pow t 2))
(*.f64 (/.f64 l t) (/.f64 l t))

rewrite238.0ms (1.8%)

Memory
-25.2MiB live, 287.0MiB allocated
Rules
4 712×lower-/.f32
4 680×lower-/.f64
4 452×lower-*.f32
4 418×lower-*.f64
2 094×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071551
0119551
1409529
22921521
08065521
Stop Event
iter limit
node limit
iter limit
Counts
30 → 1 057
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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))
(*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (fma.f64 (pow.f64 k #s(literal 8 binary64)) (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
(pow.f64 k #s(literal 8 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
(/.f64 t l)
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))
(*.f64 t (/.f64 t l))
(/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t)))
(-.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 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
(/.f64 t (*.f64 l l))
(*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)))
(*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))))
(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k))
(*.f64 l (/.f64 (/.f64 l t) t))
Outputs
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eval359.0ms (2.6%)

Memory
58.6MiB live, 658.5MiB allocated
Compiler

Compiled 64 789 to 5 689 computations (91.2% saved)

prune136.0ms (1%)

Memory
-16.4MiB live, 385.1MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New2 144322 176
Fresh12012
Picked505
Done000
Total2 161322 193
Accuracy
98.9%
Counts
2 193 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) (sin.f64 k)) (/.f64 t l)) t)))
65.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 k t) (tan.f64 k))) (sin.f64 k)))))
56.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (pow (/ k t) 2)) (/.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) t) t)) (sin.f64 k)))))
80.7%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) #s(approx (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l)))))
60.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (*.f64 (/.f64 k t) (/.f64 k t)))))
52.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (*.f64 (*.f64 t (/.f64 k l)) (*.f64 t (/.f64 k l)))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
72.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
65.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
68.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal -1 binary64))))
61.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t) (*.f64 l l))))
70.9%
(/.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 (pow.f64 k #s(literal 4 binary64)) l) t) l)))
88.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
90.2%
(/.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 (/.f64 k (cos.f64 k)) l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) l)))
73.1%
(/.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 l (*.f64 (cos.f64 k) l)))))
86.6%
(/.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 #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))))))
69.9%
(/.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 l (/.f64 (pow.f64 k #s(literal 4 binary64)) l)))))
60.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l l)) t)))
81.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k) l))))
89.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k) l))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (fma.f64 #s(literal -1/3 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))) t) k) l))))
72.2%
(/.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 (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l))))
97.5%
(/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
71.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))))
72.2%
(/.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 k k) (/.f64 (*.f64 k k) l)) l) t)))
60.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
69.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (pow.f64 k #s(literal 4 binary64)) l))) t)))
72.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (*.f64 k k) l)) t)))
61.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
73.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))))
47.2%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
59.8%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
72.5%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
Compiler

Compiled 1 194 to 906 computations (24.1% saved)

simplify181.0ms (1.3%)

Memory
-34.3MiB live, 178.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k)
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
cost-diff0
(/.f64 (/.f64 k (cos.f64 k)) l)
cost-diff0
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) 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 (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))
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 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))
cost-diff0
(*.f64 k k)
cost-diff0
(*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
cost-diff0
(/.f64 (/.f64 k (cos.f64 k)) l)
cost-diff0
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
Rules
13 700×lower-fma.f64
13 700×lower-fma.f32
5 592×lower-*.f32
5 566×lower-*.f64
2 884×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062697
096705
1175669
2460633
31939633
44976633
57664633
08118633
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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 k (cos.f64 k))
k
(cos.f64 k)
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 t (/.f64 k l))
t
(/.f64 k l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))
(*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)
(*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l)))
(*.f64 k k)
k
(/.f64 (*.f64 k k) (*.f64 l l))
(*.f64 l l)
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 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))
(*.f64 l l)
l
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 k (cos.f64 k))
k
(cos.f64 k)
l
#s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(*.f64 (pow.f64 k #s(literal 3 binary64)) t)
(pow.f64 k #s(literal 3 binary64))
#s(literal 3 binary64)
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
t
l
(*.f64 (cos.f64 k) l)
(cos.f64 k)
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)) l) (/.f64 t (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 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)) l) (/.f64 t (cos.f64 k))))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))
(*.f64 (/.f64 (*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)) l) (/.f64 t (cos.f64 k)))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 k (cos.f64 k))
k
(cos.f64 k)
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 t (/.f64 k l))
(*.f64 (/.f64 k l) t)
t
(/.f64 k l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 t l) l) (pow.f64 k #s(literal 4 binary64)))))
#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 (*.f64 k k) (*.f64 l l))) t))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 t l) l) (pow.f64 k #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)
(*.f64 (/.f64 (/.f64 t l) l) (pow.f64 k #s(literal 4 binary64)))
(*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l)))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(*.f64 k k)
k
(/.f64 (*.f64 k k) (*.f64 l l))
(*.f64 (/.f64 (/.f64 k l) l) k)
(*.f64 l l)
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 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 t l) l) (pow.f64 k #s(literal 4 binary64)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 t l) l) (pow.f64 k #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)
(*.f64 (/.f64 (/.f64 t l) l) (pow.f64 k #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
#s(literal 1 binary64)
(/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))
(*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l)
(*.f64 l l)
l
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (/.f64 (/.f64 k (cos.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 (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (/.f64 (/.f64 k (cos.f64 k)) l)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))
(*.f64 #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (/.f64 (/.f64 k (cos.f64 k)) l))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 k (cos.f64 k))
k
(cos.f64 k)
l
#s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(*.f64 (pow.f64 k #s(literal 3 binary64)) t)
(pow.f64 k #s(literal 3 binary64))
#s(literal 3 binary64)
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)) l) (/.f64 t (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)) l) (/.f64 t (cos.f64 k))))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))
(*.f64 (/.f64 (*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) l)) l) (/.f64 t (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
t
l
(*.f64 (cos.f64 k) l)
(cos.f64 k)

localize251.0ms (1.8%)

Memory
-9.0MiB live, 269.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5395442107191628
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k)
accuracy4.427926780262167
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))
accuracy4.964054406232779
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
accuracy6.45139132253211
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
accuracy0.7413966254300474
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))
accuracy3.9394996318913993
(*.f64 (pow.f64 k #s(literal 3 binary64)) t)
accuracy6.314208123893177
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
accuracy19.501510171230443
#s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))
accuracy0.4995819253974211
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))
accuracy5.37991645823083
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)
accuracy15.333650435623671
(/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))
accuracy21.227125841827394
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))
accuracy3.3889269580320773
(*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l)))
accuracy5.37991645823083
(*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)
accuracy16.189462230899274
(/.f64 (*.f64 k k) (*.f64 l l))
accuracy21.227125841827394
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))
accuracy0.22103500976844204
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy0.7413966254300474
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))
accuracy2.4231291159768693
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
accuracy4.41381815976764
(*.f64 t (/.f64 k l))
Samples
68.0ms126×0valid
45.0ms49×3valid
42.0ms40×2valid
24.0ms41×1valid
Compiler

Compiled 507 to 48 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 42.0ms (36.5% of total)
ival-div: 21.0ms (18.2% of total)
adjust: 14.0ms (12.2% of total)
ival-pow: 8.0ms (6.9% of total)
ival-sin: 8.0ms (6.9% of total)
ival-pow2: 7.0ms (6.1% of total)
ival-tan: 6.0ms (5.2% of total)
ival-cos: 5.0ms (4.3% of total)
ival-sub: 2.0ms (1.7% of total)
ival-add: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series174.0ms (1.3%)

Memory
6.2MiB live, 237.0MiB allocated
Counts
30 → 948
Calls
Call 1
Inputs
#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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 k (cos.f64 k)) l) (patch (/.f64 (/.f64 k (cos.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 k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) (patch (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) #<representation binary64>) () ())
#s(alt (*.f64 k k) (patch (*.f64 k k) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) #<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 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))) (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 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t) #<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 (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) 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 (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) 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 (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) 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 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)))) #<representation binary64>) () ())
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#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (patch (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #<representation binary64>) () ())
#s(alt (*.f64 t (/.f64 k l)) (patch (*.f64 t (/.f64 k l)) #<representation binary64>) () ())
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#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())
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#s(alt (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (patch (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (patch #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) #<representation binary64>) () ())
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#s(alt (*.f64 (pow.f64 k #s(literal 3 binary64)) t) (patch (*.f64 (pow.f64 k #s(literal 3 binary64)) t) #<representation binary64>) () ())
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#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) (patch (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 4) t) (pow l 2)) (taylor 0 t) (#s(alt (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) (patch (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 4) t) (pow l 2)) (taylor 0 t) (#s(alt (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) (patch (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow k 4) t) (pow l 2)) (taylor 0 t) (#s(alt (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) (patch (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))) (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 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))) #<representation binary64>) () ())) ())
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#s(alt (/ (* k (* t (pow (sin k) 2))) l) (taylor -inf l) (#s(alt #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (patch #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* k (* t (pow (sin k) 2))) l) (taylor -inf l) (#s(alt #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (patch #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* k (* t (pow (sin k) 2))) l) (taylor -inf l) (#s(alt #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (patch #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* k (* t (pow (sin k) 2))) l) (taylor -inf l) (#s(alt #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) (patch #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 3) t) l) (taylor -inf l) (#s(alt (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) (patch (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 3) t) l) (taylor -inf l) (#s(alt (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) (patch (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 3) t) l) (taylor -inf l) (#s(alt (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) (patch (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 3) t) l) (taylor -inf l) (#s(alt (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) (patch (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
37.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (* (pow (sin k) 2) (* t (/ k l)))) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (/ (* k k) (* l l))) t) (* k k) (/ 1 (/ (* l l) (pow k 4))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ 1 (/ (* l l) (pow k 4))) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) k) (/ (* (* (pow (sin k) 2) t) k) l) (* t (/ k l)) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (/ (* k k) (* l l)) (* (* k k) (/ (* k k) (* l l))) (/ (* l l) (pow k 4)) (/ (* (* (pow (sin k) 2) t) k) l) (/ (* (pow k 3) t) l) (* (pow k 3) t) (* (pow (sin k) 2) t) (/ (* (/ (* (* (pow (sin k) 2) t) k) l) k) (* (cos k) l)))
26.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (* (pow (sin k) 2) (* t (/ k l)))) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (/ (* k k) (* l l))) t) (* k k) (/ 1 (/ (* l l) (pow k 4))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ 1 (/ (* l l) (pow k 4))) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) k) (/ (* (* (pow (sin k) 2) t) k) l) (* t (/ k l)) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (/ (* k k) (* l l)) (* (* k k) (/ (* k k) (* l l))) (/ (* l l) (pow k 4)) (/ (* (* (pow (sin k) 2) t) k) l) (/ (* (pow k 3) t) l) (* (pow k 3) t) (* (pow (sin k) 2) t) (/ (* (/ (* (* (pow (sin k) 2) t) k) l) k) (* (cos k) l)))
10.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (* (pow (sin k) 2) (* t (/ k l)))) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (/ (* k k) (* l l))) t) (* k k) (/ 1 (/ (* l l) (pow k 4))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ 1 (/ (* l l) (pow k 4))) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) k) (/ (* (* (pow (sin k) 2) t) k) l) (* t (/ k l)) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (/ (* k k) (* l l)) (* (* k k) (/ (* k k) (* l l))) (/ (* l l) (pow k 4)) (/ (* (* (pow (sin k) 2) t) k) l) (/ (* (pow k 3) t) l) (* (pow k 3) t) (* (pow (sin k) 2) t) (/ (* (/ (* (* (pow (sin k) 2) t) k) l) k) (* (cos k) l)))
6.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (* (pow (sin k) 2) (* t (/ k l)))) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (/ (* k k) (* l l))) t) (* k k) (/ 1 (/ (* l l) (pow k 4))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ 1 (/ (* l l) (pow k 4))) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) k) (/ (* (* (pow (sin k) 2) t) k) l) (* t (/ k l)) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (/ (* k k) (* l l)) (* (* k k) (/ (* k k) (* l l))) (/ (* l l) (pow k 4)) (/ (* (* (pow (sin k) 2) t) k) l) (/ (* (pow k 3) t) l) (* (pow k 3) t) (* (pow (sin k) 2) t) (/ (* (/ (* (* (pow (sin k) 2) t) k) l) k) (* (cos k) l)))
6.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (* (pow (sin k) 2) (* t (/ k l)))) (/ (/ k (cos k)) l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (/ (* k k) (* l l))) t) (* k k) (/ 1 (/ (* l l) (pow k 4))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ 1 (/ (* l l) (pow k 4))) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (/ k (cos k)) l) (/ (* (* (pow (sin k) 2) t) k) l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) k) (/ (* (* (pow (sin k) 2) t) k) l) (* t (/ k l)) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (/ (* k k) (* l l)) (* (* k k) (/ (* k k) (* l l))) (/ (* l l) (pow k 4)) (/ (* (* (pow (sin k) 2) t) k) l) (/ (* (pow k 3) t) l) (* (pow k 3) t) (* (pow (sin k) 2) t) (/ (* (/ (* (* (pow (sin k) 2) t) k) l) k) (* (cos k) l)))

simplify332.0ms (2.4%)

Memory
14.4MiB live, 332.0MiB allocated
Algorithm
egg-herbie
Rules
12 010×lower-fma.f64
12 010×lower-fma.f32
6 282×lower-*.f64
6 282×lower-*.f32
4 820×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021213264
170413168
2265112786
3743212786
0824612654
Stop Event
iter limit
node limit
Counts
948 → 948
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)))))
(/ (* (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)))))
(/ (* (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) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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))) l)
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* (pow k 3) t) l)
(/ (* (pow k 3) t) l)
(/ (* (pow k 3) t) l)
(/ (* (pow k 3) t) l)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* 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 (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)))))
(/ (* (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)))))
(/ (* (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) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
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(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
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(/ (* k t) l)
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(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (pow (sin k) 2))) l)
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Outputs
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(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 k k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) t))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 k k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) t))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 k k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) t))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 k k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) t))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k))
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k))
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k))
(/ (* (pow k 2) (* t (pow (sin k) 2))) l)
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k t) l)
(/.f64 (*.f64 t k) l)
(/ (* k t) l)
(/.f64 (*.f64 t k) l)
(/ (* k t) l)
(/.f64 (*.f64 t k) l)
(/ (* k t) l)
(/.f64 (*.f64 t k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (pow k 2) (pow l 2))
(/.f64 (*.f64 k (/.f64 k l)) l)
(/ (pow k 2) (pow l 2))
(/.f64 (*.f64 k (/.f64 k l)) l)
(/ (pow k 2) (pow l 2))
(/.f64 (*.f64 k (/.f64 k l)) l)
(/ (pow k 2) (pow l 2))
(/.f64 (*.f64 k (/.f64 k l)) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow l 2) (pow k 4))
(*.f64 l (/.f64 l (pow.f64 k #s(literal 4 binary64))))
(/ (pow l 2) (pow k 4))
(*.f64 l (/.f64 l (pow.f64 k #s(literal 4 binary64))))
(/ (pow l 2) (pow k 4))
(*.f64 l (/.f64 l (pow.f64 k #s(literal 4 binary64))))
(/ (pow l 2) (pow k 4))
(*.f64 l (/.f64 l (pow.f64 k #s(literal 4 binary64))))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* (pow k 3) t) l)
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(/ (* (pow k 3) t) l)
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(/ (* (pow k 3) t) l)
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(/ (* (pow k 3) t) l)
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))

rewrite190.0ms (1.4%)

Memory
-8.0MiB live, 297.0MiB allocated
Rules
5 468×lower-/.f32
5 444×lower-/.f64
4 960×lower-*.f32
4 934×lower-*.f64
2 014×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062619
096599
1322561
21874561
08197561
Stop Event
iter limit
node limit
iter limit
Counts
30 → 1 562
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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))
(/.f64 (/.f64 k (cos.f64 k)) l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t))
(*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)
(*.f64 k k)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 t (/.f64 k l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (*.f64 k k) (*.f64 l l))
(*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l)))
(/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))
#s(approx (/ (* (* (pow (sin k) 2) t) k) l) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(*.f64 (pow.f64 k #s(literal 3 binary64)) t)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))
Outputs
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eval524.0ms (3.9%)

Memory
33.7MiB live, 782.8MiB allocated
Compiler

Compiled 52 878 to 5 388 computations (89.8% saved)

prune339.0ms (2.5%)

Memory
20.6MiB live, 374.1MiB allocated
Pruning

39 alts after pruning (37 fresh and 2 done)

PrunedKeptTotal
New2 610302 640
Fresh20727
Picked325
Done000
Total2 633392 672
Accuracy
100.0%
Counts
2 672 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 k t) (tan.f64 k))) (sin.f64 k)))))
65.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
70.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t) l) l)))
88.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
72.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 t k) k)) k) l) k) (*.f64 (cos.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 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 (/.f64 k l) t)) k) l)))
87.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
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 (*.f64 k k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))))
69.9%
(/.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 l (pow.f64 k #s(literal -4 binary64))) l))))
60.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l l)) t)))
81.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k) l))))
85.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))))))
75.8%
(/.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 (cos.f64 k)) l) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))))))
72.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (*.f64 k (*.f64 (*.f64 k k) (/.f64 t l)))))))
97.5%
(/.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 l) t) (/.f64 l k)) (*.f64 (sin.f64 k) (tan.f64 k)))))
99.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))))
72.2%
(/.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 k (/.f64 k l)) (*.f64 k k)) l) t)))
94.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 (/.f64 k l) t)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
76.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (/.f64 l (*.f64 k k))) (*.f64 k (/.f64 k l)))))
68.4%
(/.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 (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
72.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l k) k) (/.f64 (/.f64 l k) k))) t)))
72.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k k)))) t)))
70.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 t (neg.f64 (*.f64 l (pow.f64 k #s(literal -4 binary64))))))))
73.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 k (/.f64 k l)))) t)))
91.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 k l)) t)))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 k l) (/.f64 l k))) t)))
61.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
67.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l k) l)))) t)))
71.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))) t)))
61.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
74.6%
(/.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 t) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) k))))
73.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))))
77.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
92.4%
(/.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 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
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 k (*.f64 k (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) t)))))
47.2%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
59.8%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
68.3%
#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) t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
Compiler

Compiled 1 302 to 1 006 computations (22.7% saved)

simplify312.0ms (2.3%)

Memory
-9.4MiB live, 182.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))
cost-diff0
(*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.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 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
cost-diff0
(/.f64 t (neg.f64 l))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))
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 (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
cost-diff448
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))
cost-diff0
(pow.f64 k #s(literal 4 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
cost-diff0
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
cost-diff0
(*.f64 k k)
cost-diff0
(*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))))
cost-diff384
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))
Rules
11 718×lower-fma.f64
11 718×lower-fma.f32
6 724×lower-*.f32
6 696×lower-*.f64
3 392×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064567
097567
1190549
2588530
32559516
47745508
08040508
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))
(/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k))
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (/.f64 k l) t)
(/.f64 k l)
k
l
t
(sin.f64 k)
(/.f64 l k)
(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 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))
(*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)
(*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 k k)
k
(*.f64 (/.f64 k l) (/.f64 k l))
(/.f64 k l)
l
t
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
#s(literal 2 binary64)
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
l
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))
(/.f64 t (neg.f64 l))
t
(neg.f64 l)
l
(/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))
#s(literal -1 binary64)
(*.f64 l (pow.f64 k #s(literal -4 binary64)))
(pow.f64 k #s(literal -4 binary64))
k
#s(literal -4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
k
(*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 (*.f64 (/.f64 k l) t) l)
(*.f64 (/.f64 k l) t)
(/.f64 k l)
l
t
(*.f64 (sin.f64 k) (tan.f64 k))
(sin.f64 k)
(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 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (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 (*.f64 (tan.f64 k) k) l) (*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (tan.f64 k) k) l) (*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l))))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))
(*.f64 (/.f64 (*.f64 (tan.f64 k) k) l) (*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l)))
(/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k))
(*.f64 (/.f64 k (/.f64 l k)) (*.f64 t (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l))
(*.f64 (/.f64 k l) t)
(/.f64 k l)
k
l
t
(sin.f64 k)
(/.f64 l k)
(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 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
(*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l)))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(*.f64 k k)
k
(*.f64 (/.f64 k l) (/.f64 k l))
(*.f64 (/.f64 (/.f64 k l) l) k)
(/.f64 k l)
l
t
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (*.f64 (/.f64 l t) l) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(*.f64 (*.f64 (/.f64 l t) l) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
#s(literal 2 binary64)
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 (/.f64 l t) l)
(*.f64 l l)
l
t
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 t (*.f64 (pow.f64 k #s(literal -4 binary64)) 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 (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 t (*.f64 (pow.f64 k #s(literal -4 binary64)) l)) l))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))
(/.f64 (/.f64 t (*.f64 (pow.f64 k #s(literal -4 binary64)) l)) l)
(/.f64 t (neg.f64 l))
t
(neg.f64 l)
l
(/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 k #s(literal -4 binary64)) l))
#s(literal -1 binary64)
(*.f64 l (pow.f64 k #s(literal -4 binary64)))
(*.f64 (pow.f64 k #s(literal -4 binary64)) l)
(pow.f64 k #s(literal -4 binary64))
k
#s(literal -4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (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 (*.f64 (tan.f64 k) k) l) (*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (tan.f64 k) k) l) (*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l))))
(*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 (tan.f64 k) k) l) (*.f64 (*.f64 k (sin.f64 k)) (/.f64 t l)))
k
(*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (*.f64 (tan.f64 k) t) (*.f64 k (/.f64 (/.f64 (sin.f64 k) l) l)))
(/.f64 (*.f64 (/.f64 k l) t) l)
(*.f64 (/.f64 k l) t)
(/.f64 k l)
l
t
(*.f64 (sin.f64 k) (tan.f64 k))
(*.f64 (tan.f64 k) (sin.f64 k))
(sin.f64 k)
(tan.f64 k)

localize283.0ms (2.1%)

Memory
-23.1MiB live, 211.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.812845274529398
(*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
accuracy2.030955224650012
(/.f64 (*.f64 (/.f64 k l) t) l)
accuracy4.300416601491397
(*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))
accuracy4.41381815976764
(*.f64 (/.f64 k l) t)
accuracy0.13879784912209775
(/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))
accuracy3.5863510326386097
(*.f64 l (pow.f64 k #s(literal -4 binary64)))
accuracy8.186724067492312
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))
accuracy21.227125841827394
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))
accuracy0.4150415576119819
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
accuracy9.610740254174999
(/.f64 (*.f64 l l) t)
accuracy13.847808748526127
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
accuracy14.132084992004284
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
accuracy0.26953125
(*.f64 (/.f64 k l) (/.f64 k l))
accuracy3.3889269580320773
(*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l)))
accuracy5.37991645823083
(*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)
accuracy21.227125841827394
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))
accuracy0.10384750976844201
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))
accuracy0.201503759768442
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
accuracy0.36077330313684797
(/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k))
accuracy4.41381815976764
(*.f64 (/.f64 k l) t)
Samples
98.0ms49×3valid
87.0ms126×0valid
28.0ms40×2valid
22.0ms41×1valid
Compiler

Compiled 439 to 55 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-div: 80.0ms (44.6% of total)
ival-mult: 34.0ms (19% of total)
ival-sin: 19.0ms (10.6% of total)
ival-pow: 18.0ms (10% of total)
adjust: 13.0ms (7.2% of total)
ival-tan: 5.0ms (2.8% of total)
ival-pow2: 4.0ms (2.2% of total)
ival-sub: 2.0ms (1.1% of total)
ival-add: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series144.0ms (1.1%)

Memory
-12.9MiB live, 141.4MiB allocated
Counts
28 → 864
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 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 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.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 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.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 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (patch (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l 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 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t) (patch (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t) #<representation binary64>) () ())
#s(alt (*.f64 k k) (patch (*.f64 k k) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))) (patch #s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)) (patch (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 k #s(literal 4 binary64)) (patch (pow.f64 k #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))) (patch (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))) #<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 (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))) (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 (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 t (neg.f64 l)) (patch (/.f64 t (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 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.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 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))) #<representation binary64>) () ())
#s(alt (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))) (patch (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 k l) t) (patch (*.f64 (/.f64 k l) t) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (patch (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) (patch (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 k l) (/.f64 k l)) (patch (*.f64 (/.f64 k l) (/.f64 k l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l l) t) (patch (/.f64 (*.f64 l l) t) #<representation binary64>) () ())
#s(alt (*.f64 l (pow.f64 k #s(literal -4 binary64))) (patch (*.f64 l (pow.f64 k #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 k l) t) l) (patch (/.f64 (*.f64 (/.f64 k l) t) l) #<representation binary64>) () ())
Outputs
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.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 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
23.0ms
k
@-inf
((* (/ (* (* (/ k l) t) (sin k)) (/ l k)) (tan k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (/ k l) t) (sin k)) (/ l k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* (/ k l) (/ k l))) t) (* k k) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) (* (/ t (neg l)) (/ -1 (* l (pow k -4)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ t (neg l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* k (* (/ (* (/ k l) t) l) (* (sin k) (tan k)))) (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k k) (* (/ k l) (/ k l))) (* (/ k l) (/ k l)) (/ (* l l) t) (* l (pow k -4)) (/ -1 (* l (pow k -4))) (/ (* (/ k l) t) l))
11.0ms
t
@0
((* (/ (* (* (/ k l) t) (sin k)) (/ l k)) (tan k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (/ k l) t) (sin k)) (/ l k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* (/ k l) (/ k l))) t) (* k k) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) (* (/ t (neg l)) (/ -1 (* l (pow k -4)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ t (neg l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* k (* (/ (* (/ k l) t) l) (* (sin k) (tan k)))) (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k k) (* (/ k l) (/ k l))) (* (/ k l) (/ k l)) (/ (* l l) t) (* l (pow k -4)) (/ -1 (* l (pow k -4))) (/ (* (/ k l) t) l))
7.0ms
l
@0
((* (/ (* (* (/ k l) t) (sin k)) (/ l k)) (tan k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (/ k l) t) (sin k)) (/ l k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* (/ k l) (/ k l))) t) (* k k) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) (* (/ t (neg l)) (/ -1 (* l (pow k -4)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ t (neg l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* k (* (/ (* (/ k l) t) l) (* (sin k) (tan k)))) (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k k) (* (/ k l) (/ k l))) (* (/ k l) (/ k l)) (/ (* l l) t) (* l (pow k -4)) (/ -1 (* l (pow k -4))) (/ (* (/ k l) t) l))
7.0ms
t
@-inf
((* (/ (* (* (/ k l) t) (sin k)) (/ l k)) (tan k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (/ k l) t) (sin k)) (/ l k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* (/ k l) (/ k l))) t) (* k k) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) (* (/ t (neg l)) (/ -1 (* l (pow k -4)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ t (neg l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* k (* (/ (* (/ k l) t) l) (* (sin k) (tan k)))) (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k k) (* (/ k l) (/ k l))) (* (/ k l) (/ k l)) (/ (* l l) t) (* l (pow k -4)) (/ -1 (* l (pow k -4))) (/ (* (/ k l) t) l))
6.0ms
l
@inf
((* (/ (* (* (/ k l) t) (sin k)) (/ l k)) (tan k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (/ k l) t) (sin k)) (/ l k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* (/ k l) (/ k l))) t) (* k k) (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) (* (/ t (neg l)) (/ -1 (* l (pow k -4)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ t (neg l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* k (* (/ (* (/ k l) t) l) (* (sin k) (tan k)))) (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k k) (* (/ k l) (/ k l))) (* (/ k l) (/ k l)) (/ (* l l) t) (* l (pow k -4)) (/ -1 (* l (pow k -4))) (/ (* (/ k l) t) l))

simplify341.0ms (2.5%)

Memory
24.9MiB live, 251.0MiB allocated
Algorithm
egg-herbie
Rules
12 142×lower-fma.f64
12 142×lower-fma.f32
6 918×lower-*.f64
6 918×lower-*.f32
5 146×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014311450
148111430
2203811148
3551511148
4661311148
5670711148
6671411148
7671511148
8671511148
0876111064
Stop Event
iter limit
node limit
Counts
864 → 864
Calls
Call 1
Inputs
(/ (* (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)))))
(/ (* (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 (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 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)))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
(* -1 (/ t l))
(* -1 (/ t l))
(* -1 (/ t l))
(* -1 (/ t l))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (* k t) (pow l 2))
(/ (* k t) (pow l 2))
(/ (* k t) (pow l 2))
(/ (* k 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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 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 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
(* -1 (/ t l))
(* -1 (/ t l))
(* -1 (/ t l))
(* -1 (/ t l))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (* k t) (pow l 2))
(/ (* k t) (pow l 2))
(/ (* k t) (pow l 2))
(/ (* k 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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(/ (* (pow k 2) (* t (sin k))) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 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)))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(/ (* (pow k 4) t) (pow l 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (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)))
(* -1 (/ t l))
(* -1 (/ t l))
(* -1 (/ t l))
(* -1 (/ t l))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (* k (* t (sin k))) l)
(/ (pow l 2) t)
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) k) k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) k) k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) k) k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) k) k))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (*.f64 k (/.f64 k (cos.f64 k)))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (/.f64 k (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (/.f64 k (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (/.f64 k (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* k (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 t (/.f64 k (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* k t) l)
(*.f64 (/.f64 t l) k)
(/ (* k t) l)
(*.f64 (/.f64 t l) k)
(/ (* k t) l)
(*.f64 (/.f64 t l) k)
(/ (* k t) l)
(*.f64 (/.f64 t l) k)
(/ (* k (* t (sin k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) t) k) l)
(/ (* k (* t (sin k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) t) k) l)
(/ (* k (* t (sin k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) t) k) l)
(/ (* k (* t (sin k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) t) k) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 4) (pow l 2))
(/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l)
(/ (pow k 2) (pow l 2))
(*.f64 (/.f64 k l) (/.f64 k l))
(/ (pow k 2) (pow l 2))
(*.f64 (/.f64 k l) (/.f64 k l))
(/ (pow k 2) (pow l 2))
(*.f64 (/.f64 k l) (/.f64 k l))
(/ (pow k 2) (pow l 2))
(*.f64 (/.f64 k l) (/.f64 k l))
(/ (pow l 2) t)
(/.f64 (*.f64 l l) t)
(/ (pow l 2) t)
(/.f64 (*.f64 l l) t)
(/ (pow l 2) t)
(/.f64 (*.f64 l l) t)
(/ (pow l 2) t)
(/.f64 (*.f64 l l) t)
(/ l (pow k 4))
(/.f64 l (pow.f64 k #s(literal 4 binary64)))
(/ l (pow k 4))
(/.f64 l (pow.f64 k #s(literal 4 binary64)))
(/ l (pow k 4))
(/.f64 l (pow.f64 k #s(literal 4 binary64)))
(/ l (pow k 4))
(/.f64 l (pow.f64 k #s(literal 4 binary64)))
(* -1 (/ (pow k 4) l))
(/.f64 (pow.f64 k #s(literal 4 binary64)) (neg.f64 l))
(* -1 (/ (pow k 4) l))
(/.f64 (pow.f64 k #s(literal 4 binary64)) (neg.f64 l))
(* -1 (/ (pow k 4) l))
(/.f64 (pow.f64 k #s(literal 4 binary64)) (neg.f64 l))
(* -1 (/ (pow k 4) l))
(/.f64 (pow.f64 k #s(literal 4 binary64)) (neg.f64 l))
(/ (* k t) (pow l 2))
(/.f64 (*.f64 (/.f64 t l) k) l)
(/ (* k t) (pow l 2))
(/.f64 (*.f64 (/.f64 t l) k) l)
(/ (* k t) (pow l 2))
(/.f64 (*.f64 (/.f64 t l) k) l)
(/ (* k t) (pow l 2))
(/.f64 (*.f64 (/.f64 t l) k) l)

rewrite254.0ms (1.9%)

Memory
-14.5MiB live, 259.6MiB allocated
Rules
5 540×lower-/.f32
5 518×lower-/.f64
4 216×lower-*.f32
4 188×lower-*.f64
1 810×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064506
097496
1338461
22227448
08165448
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 027
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (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 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k)) (tan.f64 k)))
(/.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (/.f64 l k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t))
(*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)
(*.f64 k k)
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))))
(/.f64 t (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 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (/.f64 k l) t)
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (/.f64 k l) (/.f64 k l))
(/.f64 (*.f64 l l) t)
(*.f64 l (pow.f64 k #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64))))
(/.f64 (*.f64 (/.f64 k l) t) l)
Outputs
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eval397.0ms (2.9%)

Memory
31.4MiB live, 649.8MiB allocated
Compiler

Compiled 35 534 to 4 287 computations (87.9% saved)

prune263.0ms (1.9%)

Memory
27.1MiB live, 340.0MiB allocated
Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New1 938261 964
Fresh191332
Picked325
Done112
Total1 961422 003
Accuracy
100.0%
Counts
2 003 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
72.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 t k) k)) k) l) k) (*.f64 (cos.f64 k) l))))
69.9%
(/.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 l (pow.f64 k #s(literal -4 binary64))) l))))
60.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l l)) t)))
75.8%
(/.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 (cos.f64 k)) l) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))))))
72.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (*.f64 k (*.f64 (*.f64 k k) (/.f64 t l)))))))
72.2%
(/.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 (/.f64 k l) k) (*.f64 k k)) l) t)))
93.1%
(/.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 k) (*.f64 (/.f64 (sin.f64 k) l) k)) l) (tan.f64 k))))
73.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (*.f64 (/.f64 t l) k) k)) (/.f64 l k)) (tan.f64 k))))
76.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (/.f64 l (*.f64 k k))) (*.f64 k (/.f64 k l)))))
68.4%
(/.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 (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
72.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l k) k) (/.f64 (/.f64 l k) k))) t)))
72.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k k)))) t)))
73.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 k (/.f64 k l)))) t)))
77.8%
(/.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 l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
93.1%
(/.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 (*.f64 t (/.f64 k l)) l) k) (tan.f64 k)) (sin.f64 k))))
98.9%
(/.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 (sin.f64 k) t) (/.f64 k l)) (*.f64 (/.f64 k l) (tan.f64 k)))))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 k l) (/.f64 l k))) t)))
61.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
67.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
71.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))) t)))
99.7%
(/.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 t (/.f64 k l))) (*.f64 (/.f64 (sin.f64 k) l) k))))
99.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t (/.f64 k l)) (/.f64 k l))) (tan.f64 k))))
94.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (*.f64 (/.f64 k l) (*.f64 (/.f64 (sin.f64 k) l) k))) (tan.f64 k))))
77.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
69.9%
(/.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 (/ (* (* (/ k l) t) (sin k)) (/ l k)) (*.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) l) (/.f64 t l))) (tan.f64 k))))
76.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 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 k (*.f64 (*.f64 (/.f64 (*.f64 t (/.f64 k l)) l) (tan.f64 k)) (sin.f64 k)))))
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 k (*.f64 k (*.f64 (pow.f64 (/.f64 l k) #s(literal -2 binary64)) t)))))
66.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k #s(approx (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (*.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 t l) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)))))))
47.2%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
61.8%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) (pow.f64 k #s(literal -2 binary64))) (*.f64 k k)))
69.9%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
61.5%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
65.6%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
59.8%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
59.5%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
69.9%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) (pow.f64 t #s(literal -1 binary64))))
68.7%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 l (*.f64 (/.f64 l t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))))
59.8%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 (*.f64 l l) t))))
68.4%
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) l) (/.f64 l t))))
Compiler

Compiled 2 662 to 1 127 computations (57.7% saved)

regimes229.0ms (1.7%)

Memory
-35.2MiB live, 304.4MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
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(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 l (*.f64 (cos.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) #s(approx (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 k #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) l)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))
(/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (/.f64 (*.f64 t (/.f64 t l)) l) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) (sin.f64 k)) (/.f64 t l)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 t (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (tan.f64 k) (sin.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 (*.f64 k k) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 l (/.f64 (/.f64 l t) t))) t) (-.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 t l) (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (/.f64 l t) t))) (-.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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (*.f64 (tan.f64 k) (sin.f64 k)))) l))
(/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 k t) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 k t) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 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 (tan.f64 k) (*.f64 t (/.f64 k l))) (*.f64 (/.f64 (sin.f64 k) l) k))))
Calls

6 calls:

66.0ms
(*.f64 l l)
34.0ms
k
32.0ms
t
31.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
30.0ms
(*.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
99.7%1t
99.7%1l
99.7%1k
99.7%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))))
99.7%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)))
99.7%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes111.0ms (0.8%)

Memory
28.7MiB live, 220.1MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 k (/.f64 k l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (*.f64 k k) l)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) l)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k (/.f64 k l)) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 k l) (/.f64 l 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 t (/.f64 l (*.f64 k k))) (*.f64 k (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l k) l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k 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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l k) k) (/.f64 (/.f64 l k) k))) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) l) (/.f64 l t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 l (*.f64 (/.f64 l t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l 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 t (*.f64 (*.f64 l (pow.f64 k #s(literal -4 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 (pow.f64 k #s(literal 4 binary64)) t) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 l k) #s(literal -2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k t) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) 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 (pow.f64 k #s(literal 4 binary64)) t) l) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) (pow.f64 k #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 t (*.f64 k k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 t (/.f64 l (/.f64 (pow.f64 k #s(literal 4 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 #s(literal -1 binary64) l) (/.f64 t (neg.f64 (*.f64 l (pow.f64 k #s(literal -4 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (pow.f64 k #s(literal 4 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 t k) k)) k) l) k) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (*.f64 (/.f64 t l) k) k)) (/.f64 l k)) (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 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (*.f64 k (*.f64 (*.f64 k 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 (cos.f64 k)) l) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (*.f64 (*.f64 t (/.f64 k l)) (*.f64 t (/.f64 k l)))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k #s(approx (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (*.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 t l) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) (pow.f64 t #s(literal -1 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* (/ k l) t) (sin k)) (/ l k)) (*.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) l) (/.f64 t 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 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (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 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (/.f64 (*.f64 k k) (*.f64 l 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 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (/.f64 (*.f64 t (/.f64 k l)) l) (tan.f64 k)) (sin.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (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 k l) (*.f64 (/.f64 (sin.f64 k) l) k))) (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 (sin.f64 k) (*.f64 (*.f64 t (/.f64 k l)) (/.f64 k 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 (*.f64 (sin.f64 k) (*.f64 (*.f64 t (/.f64 k l)) (/.f64 k l))) (tan.f64 k))))
Calls

6 calls:

21.0ms
k
20.0ms
l
19.0ms
t
17.0ms
(*.f64 l l)
16.0ms
(/.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
99.3%1t
99.3%1l
99.3%1k
99.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
99.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
99.3%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes131.0ms (1%)

Memory
-37.9MiB live, 261.2MiB allocated
Counts
63 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 k (/.f64 k l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (*.f64 k k) l)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) l)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k (/.f64 k l)) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 k l) (/.f64 l 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 t (/.f64 l (*.f64 k k))) (*.f64 k (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l k) l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k 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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l k) k) (/.f64 (/.f64 l k) k))) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) l) (/.f64 l t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 l (*.f64 (/.f64 l t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l 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 t (*.f64 (*.f64 l (pow.f64 k #s(literal -4 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 (pow.f64 k #s(literal 4 binary64)) t) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 l k) #s(literal -2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k t) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) 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 (pow.f64 k #s(literal 4 binary64)) t) l) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) (pow.f64 k #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 t (*.f64 k k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 t (/.f64 l (/.f64 (pow.f64 k #s(literal 4 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 #s(literal -1 binary64) l) (/.f64 t (neg.f64 (*.f64 l (pow.f64 k #s(literal -4 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (pow.f64 k #s(literal 4 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 t k) k)) k) l) k) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (*.f64 (/.f64 t l) k) k)) (/.f64 l k)) (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 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (*.f64 k (*.f64 (*.f64 k 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 (cos.f64 k)) l) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (*.f64 (*.f64 t (/.f64 k l)) (*.f64 t (/.f64 k l)))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k #s(approx (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (*.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 t l) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) (pow.f64 t #s(literal -1 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* (/ k l) t) (sin k)) (/ l k)) (*.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) l) (/.f64 t 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 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (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 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (/.f64 (*.f64 k k) (*.f64 l 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 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (/.f64 (*.f64 t (/.f64 k l)) l) (tan.f64 k)) (sin.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (*.f64 (sin.f64 k) (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 k l) (*.f64 (/.f64 (sin.f64 k) l) k))) (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 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) 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 k (*.f64 (*.f64 (/.f64 (*.f64 t (/.f64 k l)) l) (tan.f64 k)) (sin.f64 k)))))
Calls

6 calls:

30.0ms
k
22.0ms
l
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))))
20.0ms
t
19.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
96.3%2l
97.0%2k
96.3%2(*.f64 l l)
94.7%1t
94.7%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))))
94.7%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 54 to 50 computations (7.4% saved)

regimes158.0ms (1.2%)

Memory
10.0MiB live, 165.9MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 k (/.f64 k l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (*.f64 k k) l)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) l)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k (/.f64 k l)) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 k l) (/.f64 l 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 t (/.f64 l (*.f64 k k))) (*.f64 k (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l k) l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k 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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l k) k) (/.f64 (/.f64 l k) k))) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) l) (/.f64 l t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 l (*.f64 (/.f64 l t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l 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 t (*.f64 (*.f64 l (pow.f64 k #s(literal -4 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 (pow.f64 k #s(literal 4 binary64)) t) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 l k) #s(literal -2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k t) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) 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 (pow.f64 k #s(literal 4 binary64)) t) l) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) (pow.f64 k #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 t (*.f64 k k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 t (/.f64 l (/.f64 (pow.f64 k #s(literal 4 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 #s(literal -1 binary64) l) (/.f64 t (neg.f64 (*.f64 l (pow.f64 k #s(literal -4 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (pow.f64 k #s(literal 4 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 t k) k)) k) l) k) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (*.f64 (/.f64 t l) k) k)) (/.f64 l k)) (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 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (*.f64 k (*.f64 (*.f64 k 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 (cos.f64 k)) l) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (*.f64 (*.f64 t (/.f64 k l)) (*.f64 t (/.f64 k l)))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k #s(approx (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (*.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 t l) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) (pow.f64 t #s(literal -1 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* (/ k l) t) (sin k)) (/ l k)) (*.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) l) (/.f64 t 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 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (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 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (/.f64 (*.f64 k k) (*.f64 l 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 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (/ k (cos k)) l) (/.f64 k l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) 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 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))))
Calls

6 calls:

55.0ms
k
37.0ms
l
18.0ms
t
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)))
15.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
82.7%3t
82.4%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))))
82.4%2(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
89.2%3l
89.2%3(*.f64 l l)
88.6%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes101.0ms (0.7%)

Memory
3.1MiB live, 163.7MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (*.f64 k (/.f64 k l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (*.f64 k k) l)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) l)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k (/.f64 k l)) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 k k)) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 k l) (/.f64 l 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 t (/.f64 l (*.f64 k k))) (*.f64 k (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l k) l)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k 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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 l k) k) (/.f64 (/.f64 l k) k))) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) l) (/.f64 l t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 l (*.f64 (/.f64 l t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) (*.f64 l 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 t (*.f64 (*.f64 l (pow.f64 k #s(literal -4 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 (pow.f64 k #s(literal 4 binary64)) t) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k (*.f64 k (*.f64 (pow.f64 (/.f64 l k) #s(literal -2 binary64)) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k t) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) 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 (pow.f64 k #s(literal 4 binary64)) t) l) l)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) (pow.f64 k #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 t (*.f64 k k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 t (/.f64 l (/.f64 (pow.f64 k #s(literal 4 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 #s(literal -1 binary64) l) (/.f64 t (neg.f64 (*.f64 l (pow.f64 k #s(literal -4 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 t (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 l (pow.f64 k #s(literal -4 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (pow.f64 k #s(literal 4 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) l) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 t k) k)) k) l) k) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (*.f64 (/.f64 t l) k) k)) (/.f64 l k)) (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 (/.f64 k (cos.f64 k)) l) #s(approx (/ (* (* (pow (sin k) 2) t) k) l) (*.f64 k (*.f64 (*.f64 k 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 (cos.f64 k)) l) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (/ (* (tan k) (sin k)) (* l (/ (/ l t) t))) (*.f64 (*.f64 t (/.f64 k l)) (*.f64 t (/.f64 k l)))) t) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 k #s(approx (* (/ (* (/ k l) t) l) (* (sin k) (tan k))) (*.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 t l) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)))))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) (pow.f64 t #s(literal -1 binary64))))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (pow.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* (/ k l) t) (sin k)) (/ l k)) (*.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) l) (/.f64 t 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 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
Calls

6 calls:

23.0ms
t
18.0ms
k
15.0ms
(*.f64 l l)
15.0ms
l
15.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.8%1t
77.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
77.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
77.8%1l
77.8%1(*.f64 l l)
77.8%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes27.0ms (0.2%)

Memory
-22.1MiB live, 17.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) 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 k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
Calls

6 calls:

16.0ms
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 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
71.6%1l
71.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
71.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
71.6%1(*.f64 l l)
71.6%1t
71.6%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes11.0ms (0.1%)

Memory
22.3MiB live, 22.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) 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 k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
Calls

6 calls:

2.0ms
t
2.0ms
k
2.0ms
l
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
67.7%1t
67.7%1l
67.7%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))))
67.7%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)))
67.7%1(*.f64 l l)
67.7%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes42.0ms (0.3%)

Memory
-18.3MiB live, 19.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) 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 k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
Calls

6 calls:

33.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
2.0ms
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
l
2.0ms
t
Results
AccuracySegmentsBranch
61.6%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))))
61.6%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)))
61.6%1t
61.6%1k
61.6%1(*.f64 l l)
61.6%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes8.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
1.0ms
k
1.0ms
t
1.0ms
l
Results
AccuracySegmentsBranch
59.8%1t
59.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
59.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
59.8%1l
59.8%1(*.f64 l l)
59.8%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch39.0ms (0.3%)

Memory
7.1MiB live, 49.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
2.5966618088703363e-108
3.8618903681177073e-106
Samples
16.0ms29×3valid
9.0ms36×2valid
4.0ms36×0valid
2.0ms11×1valid
Compiler

Compiled 266 to 207 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub: 8.0ms (31% of total)
adjust: 5.0ms (19.4% of total)
ival-div: 4.0ms (15.5% of total)
ival-mult: 3.0ms (11.6% of total)
ival-pow2: 2.0ms (7.8% of total)
ival-tan: 1.0ms (3.9% of total)
ival-pow: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-sin: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch73.0ms (0.5%)

Memory
-14.9MiB live, 62.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
69.0ms
7.969454331659285e-7
0.8091598487728905
Samples
28.0ms45×2valid
24.0ms17×1valid
9.0ms77×0valid
2.0ms3valid
Compiler

Compiled 334 to 259 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 24.0ms (41.8% of total)
ival-sin: 18.0ms (31.4% of total)
ival-mult: 4.0ms (7% of total)
adjust: 3.0ms (5.2% of total)
ival-pow2: 2.0ms (3.5% of total)
ival-tan: 2.0ms (3.5% of total)
ival-pow: 2.0ms (3.5% of total)
ival-sub: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify37.0ms (0.3%)

Memory
8.9MiB live, 47.4MiB allocated
Algorithm
egg-herbie
Rules
50×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087445
1115445
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 (tan.f64 k) (*.f64 t (/.f64 k l))) (*.f64 (/.f64 (sin.f64 k) 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 (sin.f64 k) (*.f64 (*.f64 t (/.f64 k l)) (/.f64 k l))) (tan.f64 k))))
(if (<=.f64 k #s(literal 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) 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 k (*.f64 (*.f64 (/.f64 (*.f64 t (/.f64 k l)) l) (tan.f64 k)) (sin.f64 k))))))
(if (<=.f64 k #s(literal 1770887431076117/295147905179352825856 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) 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 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (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 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) 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 (tan.f64 k) (*.f64 t (/.f64 k l))) (*.f64 (/.f64 (sin.f64 k) l) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (sin.f64 k) l) k) (*.f64 (*.f64 (/.f64 k l) t) (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 (sin.f64 k) (*.f64 (*.f64 t (/.f64 k l)) (/.f64 k 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 (*.f64 (*.f64 (/.f64 k l) t) (/.f64 k l)) (sin.f64 k)) (tan.f64 k))))
(if (<=.f64 k #s(literal 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) 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 k (*.f64 (*.f64 (/.f64 (*.f64 t (/.f64 k l)) l) (tan.f64 k)) (sin.f64 k))))))
(if (<=.f64 k #s(literal 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 k l) k) t) (*.f64 (/.f64 k l) k)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 k l) t) l) (tan.f64 k)) (sin.f64 k)) k))))
(if (<=.f64 k #s(literal 1770887431076117/295147905179352825856 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) 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 k (*.f64 (/.f64 (*.f64 t k) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))))
(if (<=.f64 k #s(literal 1770887431076117/295147905179352825856 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 k l) k) t) (*.f64 (/.f64 k l) k)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k t) (*.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 (/.f64 k l) k) (*.f64 (*.f64 (/.f64 k l) k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 k l) k) t) (*.f64 (/.f64 k l) k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 k l) (/.f64 k l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 k l) (/.f64 k l)) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k (/.f64 (/.f64 k l) l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 k l) l) k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 k k) (*.f64 l l))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (*.f64 k k)) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (pow (/ k t) 2)) (sin k))))) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k)))))

soundness1.2s (8.8%)

Memory
3.1MiB live, 1 044.5MiB allocated
Rules
29 786×lower-fma.f64
29 786×lower-fma.f32
13 466×lower-fma.f64
13 466×lower-fma.f32
8 268×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062619
096599
1322561
21874561
08197561
034213350
1119313302
2453612844
0837112615
01862
03062
110558
273354
0862454
064506
097496
1338461
22227448
08165448
0902036
12962036
211981960
348141956
476821956
085611938
071551
0119551
1409529
22921521
08065521
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 754 to 519 computations (31.2% saved)

preprocess193.0ms (1.4%)

Memory
-11.9MiB live, 426.3MiB allocated
Remove

(negabs t)

(abs l)

(abs k)

Compiler

Compiled 1 298 to 842 computations (35.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...