Details

Time bar (total: 42.7s)

sample16.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 15.267944%

Guaranteed chance to sample good point: 24.181524%

Results
48.0ms61×body1280valid
32.0ms59×body640valid
13.0ms102×body80valid
10.0ms27×body320valid
5.0ms4×body320invalid
4.0ms28×body80invalid
3.0ms6×body640invalid
2.0ms7×body160valid
2.0ms2×body1280invalid
1.0ms2×body160invalid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ (pow t 3.0) (* l l)) (sin k))
4.1b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.5b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.0b
(/ (pow t 3.0) (* l l))

rewrite51.0ms

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:
8.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
10.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
21.0ms
(* (* (* (/ (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))

series333.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
75.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
159.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
42.0ms
(/ (pow t 3.0) (* l l))

simplify122.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
08571728
147841448
250011444

prune312.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New14610156
Fresh000
Picked101
Done000
Total14710157

Merged error: 21.1b

Counts
157 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.6b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.5b
(* (* (* (/ (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))
12.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
28.0ms
(* (* (* (/ (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))

series359.0ms

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))
55.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
42.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
181.0ms
(* (* (* (/ (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))

simplify62.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014303890
150023397

prune580.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New22912241
Fresh279
Picked101
Done000
Total23219251

Merged error: 14.7b

Counts
251 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
4.1b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.5b
(* (* (* (* (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))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
773×add-exp-log
557×prod-exp
171×div-exp
115×add-cbrt-cube
98×pow-to-exp pow-exp
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 → 298
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
22.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (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))
37.0ms
(* (* (* (* (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))

series361.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (cbrt t) 3.0)
80.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
52.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
181.0ms
(* (* (* (* (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))

simplify77.0ms

Algorithm
egg-herbie
Counts
310 → 310
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015655389
150024520

prune612.0ms

Filtered
136 candidates to 310 candidates (-127.9%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New29515310
Fresh10818
Picked101
Done000
Total30623329

Merged error: 13.8b

Counts
329 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
0.7b
(pow (cbrt t) 3.0)
4.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.1b
(* (* (* (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)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
772×add-exp-log
556×prod-exp
171×div-exp
113×add-cbrt-cube
99×pow-to-exp pow-exp
74×cbrt-unprod
44×add-sqr-sqrt
35×associate-*l*
34×times-frac
32×unpow-prod-down
31×add-cube-cbrt *-un-lft-identity associate-*r/
29×pow1 frac-times
26×associate-*l/
16×cbrt-prod pow-prod-down
13×cbrt-undiv
12×tan-quot
8×flip3-+ flip-+
6×pow-unpow sqr-pow
5×unswap-sqr
4×distribute-rgt-in pow-pow distribute-lft-in associate-*r* add-log-exp
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 295
Calls
4 calls:
5.0ms
(pow (cbrt t) 3.0)
2.0ms
(pow (cbrt t) 3.0)
10.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
33.0ms
(* (* (* (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)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (cbrt t) 3.0)
47.0ms
(pow (cbrt t) 3.0)
53.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
179.0ms
(* (* (* (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)))

simplify73.0ms

Algorithm
egg-herbie
Counts
307 → 307
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
015355556
150014829

prune424.0ms

Filtered
130 candidates to 307 candidates (-136.2%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New3034307
Fresh41822
Picked101
Done000
Total30822330

Merged error: 13.5b

Counts
330 → 22

regimes749.0ms

Accuracy

14.2% (2.7b remaining)

Error of 17.0b against oracle of 14.3b and baseline of 17.5b

bsearch123.0ms

Steps
ItersRangePoint
9
4.410822250884428e-82
2.677240470517846e-74
2.1060181875137306e-75

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04540
14540

end0.0ms

sample21.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 15.267944%

Guaranteed chance to sample good point: 24.181524%

Results
1.8s2112×body1280valid
882.0ms1559×body640valid
443.0ms3259×body80valid
291.0ms724×body320valid
131.0ms969×body80invalid
92.0ms346×body160valid
69.0ms126×body640invalid
46.0ms108×body320invalid
24.0ms32×body1280invalid
23.0ms84×body160invalid

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