Details

Time bar (total: 11.0s)

sample144.0ms

Algorithm
intervals
Results
44.0ms58×body1280valid
30.0ms59×body640valid
28.0ms195×body80valid
10.0ms26×body320valid
3.0ms12×body160valid

simplify30.0ms

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: 30.5b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
14.3b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
15.3b
(/ (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))
11.0ms
(* (/ (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))
161.0ms
(* (* (* (/ (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

prune317.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New14511156
Fresh000
Picked101
Done000
Total14611157

Merged error: 20.0b

Counts
157 → 11

localize30.0ms

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))
3.2b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
9.0b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
14.3b
(* (* (* (/ (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))

rewrite75.0ms

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)
31.0ms
(* (* (* (/ (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))

series357.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
44.0ms
(/ (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))

simplify65.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014303890
150023397

prune601.0ms

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

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New22813241
Fresh3710
Picked101
Done000
Total23220252

Merged error: 14.0b

Counts
252 → 20

localize39.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (/ (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)))
2.0b
(* (* (* (/ (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))
3.2b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.3b
(* (* (* (* (/ (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))

rewrite268.0ms

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:
26.0ms
(* (* (/ (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)))
41.0ms
(* (* (* (/ (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))
57.0ms
(* (* (* (* (/ (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))

series385.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* (/ (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)))
84.0ms
(* (* (* (/ (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))
54.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
182.0ms
(* (* (* (* (/ (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))

simplify257.0ms

Algorithm
egg-herbie
Counts
951 → 951
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0324127326
1500323695

prune1.2s

Filtered
202 candidates to 951 candidates (-370.8%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New94011951
Fresh71219
Picked101
Done000
Total94823971

Merged error: 12.0b

Counts
971 → 23

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
0.8b
(* (* (/ (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)))
3.2b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
15.3b
(* (* (* (/ (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)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
5033×add-exp-log
3199×prod-exp
1557×div-exp
710×pow-exp
425×pow-to-exp
338×add-cbrt-cube
245×cbrt-unprod
86×frac-times
85×cbrt-undiv
79×associate-*l/
60×pow1
42×associate-*r/
41×add-sqr-sqrt
40×pow-prod-down
36×associate-*l*
34×times-frac
28×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
24×tan-quot
16×flip3-+ flip-+
13×cbrt-prod
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 → 928
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
25.0ms
(* (* (/ (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)))
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
53.0ms
(* (* (* (/ (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)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(pow (cbrt t) 3.0)
65.0ms
(* (* (/ (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)))
54.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
170.0ms
(* (* (* (/ (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)))

simplify264.0ms

Algorithm
egg-herbie
Counts
940 → 940
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0333928168
1500126959

prune900.0ms

Filtered
186 candidates to 940 candidates (-405.4%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New9337940
Fresh51722
Picked101
Done000
Total93924963

Merged error: 11.5b

Counts
963 → 24

regimes783.0ms

Accuracy

54.1% (1.8b remaining)

Error of 15.4b against oracle of 13.6b and baseline of 17.6b

bsearch134.0ms

Steps
ItersRangePoint
8
2.2228994449163024e-103
8.69853042930436e-100
1.6522076310233524e-101
10
-8.049264928063438e-188
-4.256880729954174e-200
-7.019793907989669e-188

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05462
15462

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.5s1980×body1280valid
930.0ms1735×body640valid
760.0ms6004×body80valid
331.0ms854×body320valid
112.0ms432×body160valid

Profiling

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