Details

Time bar (total: 14.9s)

sample2.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
46.0ms55×body1280valid
33.0ms59×body640valid
30.0ms198×body80valid
11.0ms28×body320valid
4.0ms16×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: 36.2b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (/ (pow t 3.0) (* l l)) (sin k))
4.1b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
15.2b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.6b
(/ (pow t 3.0) (* l l))

rewrite54.0ms

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:
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
11.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan 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))

series331.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
74.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
158.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
43.0ms
(/ (pow t 3.0) (* l l))

simplify121.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
08571728
147841448
250011444

prune330.0ms

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: 23.1b

Counts
157 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
4.1b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
9.0b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
15.2b
(* (* (* (/ (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:
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
19.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
30.0ms
(* (* (* (/ (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))

series361.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
81.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
43.0ms
(/ (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))

simplify64.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014303890
150023397

prune620.0ms

Filtered
152 candidates to 241 candidates (-58.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New22912241
Fresh2911
Picked101
Done000
Total23221253

Merged error: 16.8b

Counts
253 → 21

localize35.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt t) 3.0)
2.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
4.1b
(* (* (* (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))
15.2b
(* (* (* (* (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))

rewrite128.0ms

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)
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
29.0ms
(* (* (* (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))
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))

series361.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(pow (cbrt t) 3.0)
57.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
80.0ms
(* (* (* (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))
178.0ms
(* (* (* (* (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))

simplify98.0ms

Algorithm
egg-herbie
Counts
390 → 390
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
018898670
150026753

prune722.0ms

Filtered
145 candidates to 390 candidates (-169.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New3828390
Fresh71320
Picked101
Done000
Total39021411

Merged error: 15.5b

Counts
411 → 21

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.8b
(pow (cbrt t) 3.0)
2.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
17.7b
(* (* (* (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)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
1367×add-exp-log
990×prod-exp
289×div-exp
224×pow-exp
134×pow-to-exp
113×add-cbrt-cube
74×cbrt-unprod
42×add-sqr-sqrt
35×associate-*l*
34×times-frac
31×associate-*r/
29×frac-times add-cube-cbrt *-un-lft-identity
28×pow1
26×unpow-prod-down associate-*l/
16×cbrt-prod pow-prod-down
13×cbrt-undiv
12×tan-quot
8×flip3-+ flip-+
5×unswap-sqr sqr-pow
4×distribute-rgt-in distribute-lft-in associate-*r* add-log-exp
3×pow-unpow
2×pow-pow pow1/3 *-commutative
1×div-inv
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt t)
3.0ms
(pow (cbrt t) 3.0)
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
38.0ms
(* (* (* (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)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
48.0ms
(pow (cbrt t) 3.0)
56.0ms
(* (/ (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)))

simplify101.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
019248881
150017266

prune508.0ms

Filtered
131 candidates to 377 candidates (-187.8%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New3698377
Fresh71320
Picked101
Done000
Total37721398

Merged error: 14.4b

Counts
398 → 21

regimes907.0ms

Accuracy

50.9% (1.7b remaining)

Error of 15.6b against oracle of 13.9b and baseline of 17.4b

bsearch111.0ms

Steps
ItersRangePoint
8
2.7072942837238462e-124
1.1278985675988987e-120
1.2088391256760166e-122
6
-9.247370188201674e-135
-7.0785382018151e-136
-4.6280469985231046e-135

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452
15452

end0.0ms

sample7.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
1.7s2045×body1280valid
1.0s6009×body80valid
991.0ms1743×body640valid
343.0ms823×body320valid
132.0ms464×body160valid

Profiling

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