Details

Time bar (total: 23.8s)

sample149.0ms

Algorithm
intervals
Results
50.0ms59×body1280valid
31.0ms59×body640valid
26.0ms207×body80valid
12.0ms31×body320valid
3.0ms12×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.8b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.2b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.3b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
15.9b
(/ (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:
13.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
22.0ms
(* (* (* (/ (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))

series327.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
54.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
160.0ms
(* (* (* (/ (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))

simplify117.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08571728
147841448
250011444

prune1.2s

Filtered
156 candidates to 96 candidates (38.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New14313156
Fresh000
Picked101
Done000
Total14413157

Merged error: 19.5b

Counts
157 → 13

localize31.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.1b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
13.3b
(* (* (* (/ (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))

rewrite78.0ms

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:
16.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
29.0ms
(* (* (* (/ (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))

series354.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
54.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
42.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
178.0ms
(* (* (* (/ (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 (30.0ms)

IterNodesCost
014303890
150023397

prune3.7s

Filtered
241 candidates to 152 candidates (36.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New2338241
Fresh4812
Picked101
Done000
Total23816254

Merged error: 14.2b

Counts
254 → 16

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.0b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.3b
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite220.0ms

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
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 → 684
Calls
4 calls:
28.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
36.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
14.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
52.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt 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:
65.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
84.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
181.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify170.0ms

Algorithm
egg-herbie
Counts
696 → 696
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0259716328
1500315342

prune5.4s

Filtered
696 candidates to 202 candidates (71.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New68511696
Fresh31215
Picked101
Done000
Total68923712

Merged error: 13.7b

Counts
712 → 23

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.0b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
4.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.3b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite171.0ms

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
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 → 520
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
40.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
53.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series363.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(pow (cbrt t) 3.0)
84.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
179.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify141.0ms

Algorithm
egg-herbie
Counts
532 → 532
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0260212587
1500112415

prune5.6s

Filtered
532 candidates to 185 candidates (65.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New5257532
Fresh81422
Picked101
Done000
Total53421555

Merged error: 12.4b

Counts
555 → 21

regimes833.0ms

Accuracy

0% (2.7b remaining)

Error of 15.7b against oracle of 13.0b and baseline of 15.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03225
13225

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.6s2064×body1280valid
973.0ms1767×body640valid
740.0ms5830×body80valid
336.0ms867×body320valid
117.0ms427×body160valid

Profiling

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