Details

Time bar (total: 12.0s)

analyze2.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
1.6%98.3%0.1%8
2.3%97.5%0.1%9
7.4%90.9%1.7%10
9.2%87.4%3.5%11
11.7%83.5%4.8%12
15.2%76%8.8%13
16.4%72%11.6%14

sample142.0ms

Algorithm
intervals
Results
61.0ms76×body1280valid
36.0ms57×body640valid
13.0ms98×body80valid
7.0ms17×body320valid
4.0ms34×body80invalid
2.0ms4×body640invalid
2.0ms8×body160valid
2.0ms5×body320invalid
0.0ms1×body160invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0508625

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.2b
(* (/ (pow t 3.0) (* l l)) (sin k))
15.5b
(/ (pow t 3.0) (* l l))
18.2b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
8×tan-quot cbrt-undiv pow-to-exp pow-exp
7×associate-/l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp unswap-sqr sqr-pow
3×*-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 144
Calls
4 calls:
11.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
6.0ms
(/ (pow t 3.0) (* l l))
23.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series330.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
55.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
38.0ms
(/ (pow t 3.0) (* l l))
161.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049972562
149972562

prune317.0ms

Filtered
98 candidates to 156 candidates (-59.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14511156
Fresh011
Picked101
Done000
Total14612158

Merged error: 24.1b

Counts
158 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k))
3.3b
(* (sin k) (/ (pow (cbrt t) 3.0) l))
6.6b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
18.2b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
184×prod-exp
78×add-cbrt-cube
77×div-exp
50×add-sqr-sqrt
49×times-frac
44×cbrt-unprod
42×*-un-lft-identity associate-*r*
37×add-cube-cbrt
34×frac-times
33×pow-exp
31×associate-*r/
29×pow1
27×associate-*l/
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
12×cbrt-undiv
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×associate-*l* associate-/l* unswap-sqr
4×add-log-exp
3×associate-/r* *-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 229
Calls
4 calls:
18.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k))
12.0ms
(* (sin k) (/ (pow (cbrt t) 3.0) l))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
31.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series374.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k))
67.0ms
(* (sin k) (/ (pow (cbrt t) 3.0) l))
43.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
184.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049895719
149895719

prune515.0ms

Filtered
134 candidates to 241 candidates (-79.9%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New2338241
Fresh01111
Picked101
Done000
Total23419253

Merged error: 19.7b

Counts
253 → 19

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l)))
1.8b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k))
3.3b
(* (sin k) (/ (pow (cbrt t) 3.0) l))
18.2b
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
2898×add-exp-log
1826×prod-exp
939×div-exp
340×add-cbrt-cube
313×pow-to-exp pow-exp
246×cbrt-unprod
103×frac-times
88×associate-*l/
85×cbrt-undiv
70×associate-*r/
61×pow1
43×associate-*r*
41×pow-prod-down
40×add-sqr-sqrt
34×times-frac
32×tan-quot *-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down
16×flip3-+ flip-+
10×cbrt-prod
6×associate-*l*
5×unswap-sqr
4×*-commutative add-log-exp sqr-pow
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 684
Calls
4 calls:
28.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l)))
43.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k))
12.0ms
(* (sin k) (/ (pow (cbrt t) 3.0) l))
55.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series400.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l)))
84.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k))
66.0ms
(* (sin k) (/ (pow (cbrt t) 3.0) l))
184.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (sin k) (/ (pow (cbrt t) 3.0) l))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify164.0ms

Algorithm
egg-herbie
Counts
696 → 696
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0502217566

prune708.0ms

Filtered
164 candidates to 696 candidates (-324.4%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New6879696
Fresh41418
Picked101
Done000
Total69223715

Merged error: 19.1b

Counts
715 → 23

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
1.8b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (sin k) (/ (pow (cbrt t) 3.0) l)))) (tan k))
3.3b
(* (sin k) (/ (pow (cbrt t) 3.0) l))
18.2b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (sin k) (/ (pow (cbrt t) 3.0) l)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
2101×add-exp-log
1373×prod-exp
633×div-exp
249×add-cbrt-cube
212×pow-to-exp pow-exp
185×cbrt-unprod
98×frac-times
79×associate-*r/
67×associate-*l/
59×cbrt-undiv
43×add-sqr-sqrt
42×associate-*r*
41×pow1
35×*-un-lft-identity
34×times-frac
32×tan-quot
30×add-cube-cbrt
26×unpow-prod-down pow-prod-down
16×flip3-+ flip-+
13×cbrt-prod
5×associate-*l* unswap-sqr sqr-pow
4×add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 div-inv
Counts
4 → 520
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
41.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (sin k) (/ (pow (cbrt t) 3.0) l)))) (tan k))
12.0ms
(* (sin k) (/ (pow (cbrt t) 3.0) l))
54.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (sin k) (/ (pow (cbrt t) 3.0) l)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series379.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(pow (cbrt t) 3.0)
84.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (sin k) (/ (pow (cbrt t) 3.0) l)))) (tan k))
66.0ms
(* (sin k) (/ (pow (cbrt t) 3.0) l))
182.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (sin k) (/ (pow (cbrt t) 3.0) l)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify171.0ms

Algorithm
egg-herbie
Counts
532 → 532
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
0497014153
1497014153

prune582.0ms

Filtered
160 candidates to 532 candidates (-232.5%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New5275532
Fresh31922
Picked101
Done000
Total53124555

Merged error: 16.4b

Counts
555 → 24

regimes758.0ms

Accuracy

18.6% (4.1b remaining)

Error of 16.3b against oracle of 12.2b and baseline of 17.2b

bsearch217.0ms

Steps
ItersRangePoint
8
7.043364616862406e-147
7.590529917685839e-143
6.836880578529687e-143
11
-2.308166434052445e-70
-5.0624357780987626e-98
-3.981010485017368e-89

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079146
179146

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.6s2053×body1280valid
890.0ms1573×body640valid
424.0ms3264×body80valid
309.0ms764×body320valid
180.0ms1383×body80invalid
95.0ms346×body160valid
75.0ms143×body640invalid
50.0ms130×body320invalid
19.0ms74×body160invalid
18.0ms23×body1280invalid

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