Toniolo and Linder, Equation (10+)

Time bar (total: 2.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze480.0ms (19.4%)

Memory
-27.1MiB live, 578.1MiB allocated; 77ms collecting garbage
Algorithm
1×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
4.7%4.7%95.2%0.1%0%0%0%7
5.5%5.5%94.4%0.1%0%0%0%8
13.7%13.7%86.2%0.1%0%0%0%9
20.5%20.5%79.4%0.1%0%0%0%10
22%21.9%77.9%0.1%0%0%0%11
28.6%28.5%71.3%0.1%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample1.6s (65.7%)

Memory
36.0MiB live, 2 101.7MiB allocated; 338ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 976.0ms
ival-sin: 188.0ms (19.3% of total)
ival-mult!: 188.0ms (19.3% of total)
ival-pow: 182.0ms (18.7% of total)
ival-tan: 164.0ms (16.8% of total)
ival-div!: 110.0ms (11.3% of total)
ival-pow2: 85.0ms (8.7% of total)
ival-add!: 57.0ms (5.8% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain261.0ms (10.5%)

Memory
-6.6MiB live, 375.6MiB allocated; 39ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-4(-6.219054314236974e-11 -3.4783673608319514e-158 -1.3812721372388697e+174)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
480-0-(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
100-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
90-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10-0-(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
00-0-k
00-0-(/.f64 k t)
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(tan.f64 k)
00-0-(pow.f64 (/.f64 k t) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
00-0-(*.f64 l l)
00-0-(sin.f64 k)
00-0-(pow.f64 t #s(literal 3 binary64))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-#s(literal 2 binary64)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))u*o400
↳(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow72
↳(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow99
↳(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow79
↳(pow.f64 t #s(literal 3 binary64))underflow79
↳(*.f64 l l)underflow60
↳(/.f64 k t)overflow29
↳(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow70
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow70
↳(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow70
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o320
↳(pow.f64 t #s(literal 3 binary64))overflow99
↳(*.f64 l l)overflow75
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u240
↳(pow.f64 t #s(literal 3 binary64))underflow79
↳(*.f64 l l)underflow60
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o100
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o90
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u40
↳(*.f64 l l)underflow60
*.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*u40
*.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*o40
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n40
↳(pow.f64 t #s(literal 3 binary64))underflow79
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n30
↳(pow.f64 t #s(literal 3 binary64))overflow99
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o30
↳(*.f64 l l)overflow75
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o10
↳(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow72
↳(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow81
↳(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow70
↳(pow.f64 t #s(literal 3 binary64))overflow99
↳(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))overflow99
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow70
↳(/.f64 k t)overflow29
↳(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow91
↳(*.f64 l l)overflow75
↳(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow70
Confusion
Predicted +Predicted -
+1191
-8128
Precision
0.937007874015748
Recall
0.9916666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+11901
-80128
Precision?
0.937007874015748
Recall?
0.9916666666666667
Freqs
test
numberfreq
0129
1116
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
96.0ms512×0valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div!: 27.0ms (36.8% of total)
ival-tan: 10.0ms (13.6% of total)
ival-sin: 10.0ms (13.6% of total)
ival-pow: 10.0ms (13.6% of total)
ival-mult!: 9.0ms (12.3% of total)
ival-pow2: 5.0ms (6.8% of total)
ival-add!: 2.0ms (2.7% of total)
adjust: 0.0ms (0% of total)

preprocess28.0ms (1.1%)

Memory
-21.7MiB live, 24.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086256
1296230
21467230
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.0%
(/.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))))
Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 50 to 38 computations (24% saved)

series67.0ms (2.7%)

Memory
20.5MiB live, 77.3MiB allocated; 15ms collecting garbage
Counts
19 → 68
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
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow l 2) (* (pow t 2) (cos k))) (* (pow k 4) (pow (sin k) 2)))) (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (pow (sin k) 2))))) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (pow (sin k) 2)))) (* (pow t 2) (+ (* -4 (/ (* (pow l 2) (cos k)) (* (pow k 4) (pow (sin k) 2)))) (* 8 (/ (* (pow l 2) (* (pow t 2) (cos k))) (* (pow k 6) (pow (sin k) 2))))))) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (pow (sin k) 2)))) (* (pow t 2) (+ (* -4 (/ (* (pow l 2) (cos k)) (* (pow k 4) (pow (sin k) 2)))) (* (pow t 2) (+ (* -16 (/ (* (pow l 2) (* (pow t 2) (cos k))) (* (pow k 8) (pow (sin k) 2)))) (* 8 (/ (* (pow l 2) (cos k)) (* (pow k 6) (pow (sin k) 2))))))))) t)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* t (+ (* 2 (/ (* (pow t 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))) (/ (* (pow k 2) (pow (sin k) 2)) (* (pow l 2) (cos k)))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (+ (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (+ (* 2 (pow t 2)) (pow k 2)) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (* (pow l 2) (cos k)) (* (pow t 3) (pow (sin k) 2)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (pow k 2) (* (pow l 2) (cos k))) (* (pow t 2) (pow (sin k) 2)))) (/ (* (pow l 2) (cos k)) (pow (sin k) 2))) (pow t 3))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (pow k 2) (* (pow l 2) (cos k))) (* (pow t 2) (pow (sin k) 2)))) (+ (* 1/4 (/ (* (pow k 4) (* (pow l 2) (cos k))) (* (pow t 4) (pow (sin k) 2)))) (/ (* (pow l 2) (cos k)) (pow (sin k) 2)))) (pow t 3))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (pow k 2) (* (pow l 2) (cos k))) (* (pow t 2) (pow (sin k) 2)))) (+ (* -1/8 (/ (* (pow k 6) (* (pow l 2) (cos k))) (* (pow t 6) (pow (sin k) 2)))) (+ (* 1/4 (/ (* (pow k 4) (* (pow l 2) (cos k))) (* (pow t 4) (pow (sin k) 2)))) (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))) (pow t 3))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* 2 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow t 3) (+ (* 2 (/ (pow (sin k) 2) (* (pow l 2) (cos k)))) (/ (* (pow k 2) (pow (sin k) 2)) (* (pow l 2) (* (pow t 2) (cos k))))))))
#s(approx (+ (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 2))
#s(approx (+ (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (+ 2 (/ (pow k 2) (pow t 2)))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))) (* 1/2 (/ (* (pow k 2) (* (pow l 2) (cos k))) (* (pow t 2) (pow (sin k) 2))))) (pow t 3)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))) (+ (* -1/4 (/ (* (pow k 4) (* (pow l 2) (cos k))) (* (pow t 4) (pow (sin k) 2)))) (* 1/2 (/ (* (pow k 2) (* (pow l 2) (cos k))) (* (pow t 2) (pow (sin k) 2)))))) (pow t 3)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))) (+ (* -1/4 (/ (* (pow k 4) (* (pow l 2) (cos k))) (* (pow t 4) (pow (sin k) 2)))) (+ (* 1/8 (/ (* (pow k 6) (* (pow l 2) (cos k))) (* (pow t 6) (pow (sin k) 2)))) (* 1/2 (/ (* (pow k 2) (* (pow l 2) (cos k))) (* (pow t 2) (pow (sin k) 2))))))) (pow t 3)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* -1 (* (pow t 3) (+ (* -2 (/ (pow (sin k) 2) (* (pow l 2) (cos k)))) (* -1 (/ (* (pow k 2) (pow (sin k) 2)) (* (pow l 2) (* (pow t 2) (cos k))))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow t 3) (* (pow (sin k) 2) (+ 2 (/ (pow k 2) (pow t 2)))))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow t 3) (* (pow (sin k) 2) (+ 2 (/ (pow k 2) (pow t 2))))) (* (pow l 2) (cos k)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (pow l 2) (* (pow k 2) (pow t 3)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (pow k 2) (* (pow l 2) (+ 1/3 (/ 1 (pow t 2))))) (pow t 3))) (/ (pow l 2) (pow t 3))) (pow k 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/8 (/ (* (pow l 2) (pow (+ 1/3 (/ 1 (pow t 2))) 2)) (pow t 3))) (* 1/4 (/ (* (pow l 2) (+ 17/60 (+ (* -1/6 (+ 2/3 (/ 1 (pow t 2)))) (* 1/3 (/ 1 (pow t 2)))))) (pow t 3)))))) (* -1/2 (/ (* (pow l 2) (+ 1/3 (/ 1 (pow t 2)))) (pow t 3))))) (/ (pow l 2) (pow t 3))) (pow k 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (/ (* (pow l 2) (+ 1/3 (/ 1 (pow t 2)))) (pow t 3))) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/2 (* (+ 1/3 (/ 1 (pow t 2))) (+ (* -1/8 (/ (* (pow l 2) (pow (+ 1/3 (/ 1 (pow t 2))) 2)) (pow t 3))) (* 1/4 (/ (* (pow l 2) (+ 17/60 (+ (* -1/6 (+ 2/3 (/ 1 (pow t 2)))) (* 1/3 (/ 1 (pow t 2)))))) (pow t 3)))))) (+ (* -1/8 (/ (* (pow l 2) (* (+ 17/60 (+ (* -1/6 (+ 2/3 (/ 1 (pow t 2)))) (* 1/3 (/ 1 (pow t 2))))) (+ 1/3 (/ 1 (pow t 2))))) (pow t 3))) (* 1/4 (/ (* (pow l 2) (+ 271/2520 (+ (* -1/6 (+ 4/15 (* 1/3 (/ 1 (pow t 2))))) (+ (* 1/120 (+ 2/3 (/ 1 (pow t 2)))) (* 2/15 (/ 1 (pow t 2))))))) (pow t 3))))))) (* -2 (+ (* -1/8 (/ (* (pow l 2) (pow (+ 1/3 (/ 1 (pow t 2))) 2)) (pow t 3))) (* 1/4 (/ (* (pow l 2) (+ 17/60 (+ (* -1/6 (+ 2/3 (/ 1 (pow t 2)))) (* 1/3 (/ 1 (pow t 2)))))) (pow t 3))))))))) (/ (pow l 2) (pow t 3))) (pow k 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* 2 (/ (* (pow k 2) (pow t 3)) (pow l 2)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 2) (+ (* 2 (/ (pow t 3) (pow l 2))) (/ (* (pow k 2) (* (pow t 3) (+ 1/3 (/ 1 (pow t 2))))) (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 2) (+ (* 2 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (/ (* (pow k 2) (* (pow t 3) (+ 17/60 (+ (* -1/6 (+ 2/3 (/ 1 (pow t 2)))) (* 1/3 (/ 1 (pow t 2))))))) (pow l 2)) (/ (* (pow t 3) (+ 1/3 (/ 1 (pow t 2)))) (pow l 2))))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 2) (+ (* 2 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* (pow k 2) (+ (/ (* (pow k 2) (* (pow t 3) (+ 271/2520 (+ (* -1/6 (+ 4/15 (* 1/3 (/ 1 (pow t 2))))) (+ (* 1/120 (+ 2/3 (/ 1 (pow t 2)))) (* 2/15 (/ 1 (pow t 2)))))))) (pow l 2)) (/ (* (pow t 3) (+ 17/60 (+ (* -1/6 (+ 2/3 (/ 1 (pow t 2)))) (* 1/3 (/ 1 (pow t 2)))))) (pow l 2)))) (/ (* (pow t 3) (+ 1/3 (/ 1 (pow t 2)))) (pow l 2))))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (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))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* 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))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow l 2) (* t (cos k))) (* (pow k 2) (pow (sin k) 2)))) (* 2 (/ (* (pow l 2) (cos k)) (* t (pow (sin k) 2))))) (pow k 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow l 2) (* t (cos k))) (* (pow k 2) (pow (sin k) 2)))) (+ (* 2 (/ (* (pow l 2) (cos k)) (* t (pow (sin k) 2)))) (* 8 (/ (* (pow l 2) (* (pow t 3) (cos k))) (* (pow k 4) (pow (sin k) 2)))))) (pow k 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -16 (/ (* (pow l 2) (* (pow t 5) (cos k))) (* (pow k 6) (pow (sin k) 2)))) (+ (* -4 (/ (* (pow l 2) (* t (cos k))) (* (pow k 2) (pow (sin k) 2)))) (+ (* 2 (/ (* (pow l 2) (cos k)) (* t (pow (sin k) 2)))) (* 8 (/ (* (pow l 2) (* (pow t 3) (cos k))) (* (pow k 4) (pow (sin k) 2))))))) (pow k 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 2) (+ (* 2 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow k 2) (* (pow l 2) (cos k))))) (/ (* t (pow (sin k) 2)) (* (pow l 2) (cos k)))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (* (pow k 2) (+ (* 2 (/ 1 (pow k 2))) (/ 1 (pow t 2))))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
8.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
6.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))

rewrite15.0ms (0.6%)

Memory
-29.0MiB live, 16.2MiB allocated; 4ms collecting garbage

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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