Details

Time bar (total: 23.9s)

sample7.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 7.122803%

Guaranteed chance to sample good point: 32.29283%

Results
52.0ms61×body1280valid
26.0ms48×body640valid
15.0ms114×body80valid
8.0ms22×body320valid
8.0ms60×body80invalid
3.0ms11×body160valid
2.0ms4×body640invalid
2.0ms2×body1280invalid
2.0ms4×body320invalid
1.0ms4×body160invalid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.2b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.9b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.5b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
19.7b
(/ (pow t 3.0) (* l l))

rewrite56.0ms

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))

series328.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
56.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
162.0ms
(* (* (* (/ (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))

simplify119.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08571728
147841448
250011444

prune325.0ms

Filtered
96 candidates to 156 candidates (-62.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14412156
Fresh000
Picked101
Done000
Total14512157

Merged error: 20.6b

Counts
157 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.8b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
9.1b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
13.5b
(* (* (* (/ (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))

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×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:
11.0ms
(* (/ (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)
30.0ms
(* (* (* (/ (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))

series362.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
83.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
43.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
183.0ms
(* (* (* (/ (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))

simplify67.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014303890
150023397

prune633.0ms

Filtered
151 candidates to 241 candidates (-59.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New22912241
Fresh11011
Picked101
Done000
Total23122253

Merged error: 14.5b

Counts
253 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
1.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.8b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
13.5b
(* (* (* (* (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))

rewrite122.0ms

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)))
14.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
23.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
37.0ms
(* (* (* (* (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))

series383.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
55.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
83.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
184.0ms
(* (* (* (* (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))

simplify87.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015406680
150025480

prune625.0ms

Filtered
138 candidates to 378 candidates (-173.9%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New36810378
Fresh71421
Picked101
Done000
Total37624400

Merged error: 13.8b

Counts
400 → 24

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
0.8b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
1.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
15.0b
(* (* (* (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)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
1049×add-exp-log
733×prod-exp
255×div-exp
149×add-cbrt-cube
146×pow-to-exp pow-exp
95×cbrt-unprod
41×add-sqr-sqrt
36×associate-*l*
34×times-frac associate-*r/
33×pow1
30×frac-times
29×associate-*l/
28×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
19×cbrt-undiv pow-prod-down
13×cbrt-prod
12×tan-quot
8×flip3-+ flip-+
5×associate-*r* unswap-sqr sqr-pow
4×distribute-rgt-in distribute-lft-in add-log-exp
3×pow-unpow *-commutative
2×pow-pow
1×pow1/3 div-inv
Counts
4 → 363
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
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))
37.0ms
(* (* (* (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)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(pow (cbrt t) 3.0)
62.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin 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)))

simplify85.0ms

Algorithm
egg-herbie
Counts
375 → 375
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015776847
150025929

prune477.0ms

Filtered
132 candidates to 375 candidates (-184.1%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New3678375
Fresh81523
Picked101
Done000
Total37623399

Merged error: 13.7b

Counts
399 → 23

regimes749.0ms

Accuracy

0% (3.6b remaining)

Error of 17.8b against oracle of 14.2b and baseline of 17.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
13320

end0.0ms

sample11.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 7.122803%

Guaranteed chance to sample good point: 32.29283%

Results
1.6s2046×body1280valid
893.0ms1627×body640valid
420.0ms3246×body80valid
304.0ms749×body320valid
242.0ms1808×body80invalid
87.0ms332×body160valid
76.0ms143×body640invalid
45.0ms105×body320invalid
27.0ms84×body160invalid
20.0ms26×body1280invalid

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