Details

Time bar (total: 17.1s)

sample127.0ms

Algorithm
intervals
Results
49.0ms67×body1280valid
31.0ms70×body640valid
17.0ms165×body80valid
9.0ms27×body320valid
4.0ms17×body160valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113

prune4.0ms

Filtered
1 candidates to 0 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 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.9b
(* (/ (pow t 3.0) (* l l)) (sin k))
16.1b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.9b
(/ (pow t 3.0) (* l l))

rewrite61.0ms

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))
12.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
23.0ms
(* (* (* (/ (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))

series1.4s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
245.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
630.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
182.0ms
(/ (pow t 3.0) (* l l))

simplify116.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08011619
146461348
250021348

prune510.0ms

Filtered
156 candidates to 93 candidates (59.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New14412156
Fresh000
Picked011
Done000
Total14413157

Merged error: 16.3b

Counts
157 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
2.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.4b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
16.1b
(* (* (* (/ (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))

rewrite87.0ms

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:
18.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
15.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin 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))

series1.5s

Counts
4 → 12
Calls
4 calls:
361.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
240.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
196.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
735.0ms
(* (* (* (/ (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))

simplify60.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013473795
150013312

prune1.2s

Filtered
241 candidates to 149 candidates (61.8%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New2338241
Fresh11011
Picked101
Done101
Total23618254

Merged error: 12.9b

Counts
254 → 18

localize39.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.2b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
2.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.1b
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
5034×add-exp-log
3200×prod-exp
1557×div-exp
709×pow-exp
424×pow-to-exp
340×add-cbrt-cube
246×cbrt-unprod
125×associate-*l/
103×frac-times
85×cbrt-undiv
61×pow1
41×pow-prod-down
40×add-sqr-sqrt
37×associate-*l*
34×times-frac
33×associate-*r/
32×tan-quot *-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down
16×flip3-+ flip-+
12×associate-*r*
10×cbrt-prod
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 → 939
Calls
4 calls:
28.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
45.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
63.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
371.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
231.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
698.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify244.0ms

Algorithm
egg-herbie
Counts
951 → 951
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
0319327225
1500123594

prune1.6s

Filtered
951 candidates to 200 candidates (21.0%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New93912951
Fresh41317
Picked101
Done000
Total94425969

Merged error: 10.9b

Counts
969 → 25

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.2b
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
2.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.1b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
3634×add-exp-log
2390×prod-exp
1049×div-exp
480×pow-exp
286×pow-to-exp
249×add-cbrt-cube
185×cbrt-unprod
100×associate-*l/
98×frac-times
59×cbrt-undiv
46×associate-*r/
43×add-sqr-sqrt
41×pow1
36×associate-*l*
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
11×associate-*r*
5×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 → 694
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
45.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
12.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
64.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
302.0ms
(pow (cbrt t) 3.0)
367.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
232.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
712.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify205.0ms

Algorithm
egg-herbie
Counts
706 → 706
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0317220465
1500320222

prune1.4s

Filtered
706 candidates to 184 candidates (26.1%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New69610706
Fresh91524
Picked101
Done000
Total70625731

Merged error: 9.5b

Counts
731 → 25

regimes777.0ms

Accuracy

24.9% (5.6b remaining)

Error of 13.8b against oracle of 8.2b and baseline of 15.6b

bsearch427.0ms

Steps
ItersRangePoint
10
2.2609792065323481e-159
2.715193681979794e-146
1.20289657941893e-155
10
-4.890207982979563e-140
-2.7522998231169783e-150
-1.0947836772367752e-145

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08663
19963
210663
311463
412663
513163
613163

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.3s1989×body1280valid
804.0ms1707×body640valid
633.0ms6062×body80valid
284.0ms856×body320valid
93.0ms423×body160valid