Details

Time bar (total: 12.6s)

analyze2.4s

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

sample136.0ms

Algorithm
intervals
Results
59.0ms69×body1280valid
26.0ms48×body640valid
14.0ms107×body80valid
9.0ms23×body320valid
5.0ms43×body80invalid
3.0ms9×body160valid
2.0ms4×body640invalid
2.0ms4×body320invalid
1.0ms4×body160invalid
1.0ms1×body1280invalid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
0508625

prune15.0ms

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: 32.3b

Counts
2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
4.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
14.0b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.6b
(/ (pow t 3.0) (* l l))

rewrite55.0ms

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:
10.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
25.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
6.0ms
(/ (pow t 3.0) (* l l))

series331.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
56.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
163.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
38.0ms
(/ (pow t 3.0) (* l l))

simplify59.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049972562
149972562

prune304.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New14610156
Fresh011
Picked101
Done000
Total14711158

Merged error: 22.5b

Counts
158 → 11

localize28.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.7b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
8.5b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
14.0b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite76.0ms

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×associate-*l/ cbrt-unprod
42×*-un-lft-identity
37×add-cube-cbrt
36×associate-*l*
34×frac-times
33×pow-exp
29×pow1
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
14×associate-*r/
12×cbrt-undiv
11×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×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:
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
32.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series360.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
82.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
44.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
181.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049665639
149665639

prune556.0ms

Filtered
138 candidates to 241 candidates (-74.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New22813241
Fresh1910
Picked101
Done000
Total23022252

Merged error: 17.5b

Counts
252 → 22

localize24.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.5b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.7b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
14.0b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
734×prod-exp
255×div-exp
151×add-cbrt-cube
145×pow-to-exp pow-exp
96×cbrt-unprod
47×associate-*l/
40×add-sqr-sqrt
37×associate-*l*
35×frac-times
34×pow1 times-frac
33×associate-*r/
32×*-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down pow-prod-down
19×cbrt-undiv
16×tan-quot
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
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 → 366
Calls
4 calls:
17.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
22.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
40.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series380.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
54.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
82.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
180.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049597485
149597485

prune533.0ms

Filtered
122 candidates to 378 candidates (-209.8%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New36810378
Fresh51621
Picked101
Done000
Total37426400

Merged error: 17.2b

Counts
400 → 26

localize42.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt (cbrt t)) 3.0)
0.9b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l)))))
3.7b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k))
14.0b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
10104×add-exp-log
7150×prod-exp
2961×div-exp
1420×pow-to-exp pow-exp
533×add-cbrt-cube
406×cbrt-unprod
123×associate-*r/
111×cbrt-undiv
103×frac-times
70×associate-*l/
48×pow1
32×tan-quot
31×pow-prod-down
16×flip3-+ flip-+
15×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×cbrt-prod unpow-prod-down associate-*r*
4×add-log-exp
3×pow-unpow associate-*l* *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 sqr-pow
Counts
4 → 1643
Calls
4 calls:
4.0ms
(pow (cbrt (cbrt t)) 3.0)
35.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l)))))
58.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k))
81.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series390.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(pow (cbrt (cbrt t)) 3.0)
66.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l)))))
85.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k))
182.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify612.0ms

Algorithm
egg-herbie
Counts
1655 → 1655
Iterations

Useful iterations: 0 (277.0ms)

IterNodesCost
0494568206
1494568206

prune571.0ms

Filtered
136 candidates to 1655 candidates (-1116.9%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New165231655
Fresh42125
Picked101
Done000
Total1657241681

Merged error: 16.0b

Counts
1681 → 24

regimes740.0ms

Accuracy

0% (3.8b remaining)

Error of 18.6b against oracle of 14.8b and baseline of 18.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03259
13259

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.7s2056×body1280valid
921.0ms1634×body640valid
428.0ms3212×body80valid
291.0ms716×body320valid
184.0ms1396×body80invalid
106.0ms382×body160valid
78.0ms145×body640invalid
60.0ms144×body320invalid
22.0ms81×body160invalid
14.0ms18×body1280invalid

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