Details

Time bar (total: 25.9s)

sample8.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 13.259888%

Guaranteed chance to sample good point: 23.171375%

Results
56.0ms64×body1280valid
26.0ms45×body640valid
15.0ms114×body80valid
10.0ms24×body320valid
6.0ms44×body80invalid
3.0ms6×body640invalid
3.0ms9×body160valid
1.0ms3×body320invalid
1.0ms1×body1280invalid
0.0ms2×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: 32.2b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
14.8b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
15.4b
(/ (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))
8.0ms
(* (/ (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))
8.0ms
(/ (pow t 3.0) (* l l))

series320.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
54.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
157.0ms
(* (* (* (/ (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))

simplify122.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
08571728
147841448
250011444

prune340.0ms

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: 22.6b

Counts
157 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.1b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
14.8b
(* (* (* (/ (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))

rewrite74.0ms

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))
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))
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
41.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
179.0ms
(* (* (* (/ (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))

simplify63.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014303890
150023397

prune627.0ms

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

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New23110241
Fresh3811
Picked101
Done000
Total23518253

Merged error: 17.6b

Counts
253 → 18

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.9b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.8b
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
1369×add-exp-log
991×prod-exp
289×div-exp
224×pow-exp
134×pow-to-exp
115×add-cbrt-cube
75×cbrt-unprod
44×associate-*l/
43×add-sqr-sqrt
36×associate-*l*
35×*-un-lft-identity
34×frac-times times-frac
30×pow1 add-cube-cbrt associate-*r/
26×unpow-prod-down
17×pow-prod-down
16×tan-quot
13×cbrt-undiv cbrt-prod
11×associate-*r*
8×flip3-+ flip-+
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 → 378
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
23.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
41.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) 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:
45.0ms
(pow (cbrt t) 3.0)
81.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
54.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
181.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
390 → 390
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
018898670
150026753

prune687.0ms

Filtered
143 candidates to 390 candidates (-172.7%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New3828390
Fresh31417
Picked101
Done000
Total38622408

Merged error: 16.6b

Counts
408 → 22

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
1.0b
(* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
3.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
17.3b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
1369×add-exp-log
991×prod-exp
289×div-exp
224×pow-exp
134×pow-to-exp
115×add-cbrt-cube
75×cbrt-unprod
45×add-sqr-sqrt
38×associate-*l*
35×*-un-lft-identity
34×times-frac
33×associate-*r/
31×frac-times
30×pow1 add-cube-cbrt
27×associate-*l/
26×unpow-prod-down
17×pow-prod-down
15×tan-quot
13×cbrt-undiv cbrt-prod
10×flip3-+ flip-+
9×associate-*r*
6×unswap-sqr
5×distribute-rgt-in distribute-lft-in sqr-pow
4×add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×pow1/3 div-inv
Counts
4 → 381
Calls
4 calls:
2.0ms
(pow (cbrt t) 3.0)
13.0ms
(* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
34.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(pow (cbrt t) 3.0)
18.0ms
(* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
55.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
182.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
019789105
150027464

prune550.0ms

Filtered
139 candidates to 393 candidates (-182.7%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New3885393
Fresh41721
Picked011
Done000
Total39223415

Merged error: 15.6b

Counts
415 → 23

regimes802.0ms

Accuracy

24.4% (2.9b remaining)

Error of 16.8b against oracle of 13.8b and baseline of 17.7b

bsearch60.0ms

Steps
ItersRangePoint
8
-5.187060455211573e-167
-6.910682475331059e-171
-2.072703479717816e-170

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04765
14765

end0.0ms

sample12.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 13.259888%

Guaranteed chance to sample good point: 23.171375%

Results
1.7s2058×body1280valid
874.0ms1580×body640valid
435.0ms3264×body80valid
304.0ms765×body320valid
163.0ms1221×body80invalid
89.0ms333×body160valid
75.0ms127×body640invalid
53.0ms133×body320invalid
21.0ms69×body160invalid
20.0ms21×body1280invalid

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