Details

Time bar (total: 13.5s)

sample149.0ms

Algorithm
intervals
Results
55.0ms75×body1280valid
36.0ms58×body640valid
22.0ms172×body80valid
12.0ms32×body320valid
2.0ms9×body160valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
14725
215325
376425
4392125
done500125

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.9b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.2b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.8b
(/ (pow t 3.0) (* l l))
15.6b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

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:
12.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
10.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
7.0ms
(/ (pow t 3.0) (* l l))
25.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series379.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
64.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
43.0ms
(/ (pow t 3.0) (* l l))
185.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.1s

Counts
156 → 156
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02823375
18703284
243082785
done50002769

prune393.0ms

Filtered
112 candidates to 156 candidates (-39.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1488156
Fresh000
Picked101
Done000
Total1498157

Merged error: 22.9b

Counts
157 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
3.2b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
7.1b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
15.6b
(* (* (* (* (/ (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))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
346×add-exp-log
203×prod-exp
97×div-exp
82×add-cbrt-cube
55×associate-*l/
46×cbrt-unprod
41×pow-exp
35×frac-times
32×pow1
28×pow-to-exp
22×*-un-lft-identity
19×pow-prod-down
17×add-sqr-sqrt add-cube-cbrt
16×tan-quot
15×times-frac associate-*r/
13×cbrt-undiv
11×associate-*r*
8×flip3-+ flip-+
5×associate-/l*
4×unpow-prod-down add-log-exp sqr-pow
3×associate-*l* associate-/r* *-commutative distribute-lft-out
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv
Counts
4 → 204
Calls
4 calls:
19.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
15.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
6.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
34.0ms
(* (* (* (* (/ (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))

series412.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
71.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
50.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
201.0ms
(* (* (* (* (/ (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))

simplify395.0ms

Counts
216 → 216
Iterations

Useful iterations: done (383.0ms)

IterNodesCost
03897106
112176844
done50016614

prune526.0ms

Filtered
119 candidates to 216 candidates (-81.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New2079216
Fresh077
Picked101
Done000
Total20816224

Merged error: 19.3b

Counts
224 → 16

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt t) 3.0)
3.1b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
3.2b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k))
15.6b
(* (* (* (* (* (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))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
891×add-exp-log
622×prod-exp
225×div-exp
124×pow-to-exp pow-exp
119×add-cbrt-cube
76×cbrt-unprod
55×associate-*l/
35×frac-times
33×pow1 associate-*r/
19×pow-prod-down
16×tan-quot
15×cbrt-undiv *-un-lft-identity
11×associate-*r*
10×add-sqr-sqrt add-cube-cbrt
8×flip3-+ flip-+
6×unpow-prod-down
4×add-log-exp
3×cbrt-prod pow-unpow associate-*l* *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 sqr-pow
Counts
4 → 289
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
27.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
27.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k))
42.0ms
(* (* (* (* (* (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))

series428.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (cbrt t) 3.0)
92.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
72.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k))
211.0ms
(* (* (* (* (* (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))

simplify462.0ms

Counts
301 → 301
Iterations

Useful iterations: done (448.0ms)

IterNodesCost
040210725
113829924
done50019685

prune535.0ms

Filtered
112 candidates to 301 candidates (-168.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New29011301
Fresh7815
Picked101
Done000
Total29819317

Merged error: 18.2b

Counts
317 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.1b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
15.6b
(* (* (* (* (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))

rewrite147.0ms

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:
20.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
12.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
27.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
46.0ms
(* (* (* (* (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))

series430.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
60.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
93.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
205.0ms
(* (* (* (* (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))

simplify461.0ms

Counts
378 → 378
Iterations

Useful iterations: done (442.0ms)

IterNodesCost
045412902
1154912009
done500011844

prune731.0ms

Filtered
180 candidates to 378 candidates (-110.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New3708378
Fresh31518
Picked101
Done000
Total37423397

Merged error: 17.3b

Counts
397 → 23

regimes1.1s

Accuracy

9.3% (3.2b remaining)

Error of 17.8b against oracle of 14.6b and baseline of 18.1b

bsearch142.0ms

Steps
ItersRangePoint
7
3.1221536612080764e+106
2.559599023499027e+108
2.013456866961175e+107
7
4.47053653884379e-87
1.9255037808905953e-85
7.26490261210412e-86

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047139
165139
done65139

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.6s2155×body1280valid
934.0ms1718×body640valid
758.0ms5734×body80valid
341.0ms853×body320valid
116.0ms435×body160valid

Profiling

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