Details

Time bar (total: 8.7s)

sample164.0ms

Algorithm
intervals
Results
61.0ms48×body2560valid
49.0ms76×body1280valid
15.0ms36×body640valid
8.0ms26×body320valid
7.0ms68×body80valid
3.0ms1×body5120valid
0.0ms1×body160valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04214
19914
222214
340214
467614
592814
6111614
7120614
8136814
9138014
10138014

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.6b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (+ (* y 2.0) 1.0) z) t)
2.4b
(* (* (+ (* a 2.0) 1.0) b) t)
32.8b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.2b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series147.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0371438
11835354
25001354

prune326.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New452166
Fresh000
Picked101
Done000
Total462167

Merged error: 39.8b

Counts
67 → 21

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* a 2.0) 1.0) b)
0.1b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.4b
(* (* (+ (* a 2.0) 1.0) b) t)
35.2b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
16×pow1 add-cbrt-cube
10×add-sqr-sqrt
9×associate-*r* prod-exp
8×add-cube-cbrt *-un-lft-identity
7×pow-prod-down cbrt-unprod
6×associate-*l/
5×associate-*l*
4×add-log-exp
3×*-commutative
2×flip3-+ flip-+
1×1-exp unswap-sqr
Counts
4 → 66
Calls
4 calls:
7.0ms
(* (+ (* a 2.0) 1.0) b)
5.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series177.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* a 2.0) 1.0) b)
66.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
39.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0319551
11335448
25001444

prune307.0ms

Filtered
78 candidates to 54 candidates (69.2%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New621678
Fresh51520
Picked101
Done000
Total683199

Merged error: 38.4b

Counts
99 → 31

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune102.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03030
Picked011
Done000
Total03131

Merged error: 38.4b

Counts
31 → 31

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.0b
(* (+ (* a 2.0) 1.0) (* b t))
35.2b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×pow1 add-cbrt-cube
8×prod-exp
6×pow-prod-down cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l*
3×add-log-exp
2×associate-*l/ *-commutative
1×flip3-+ 1-exp flip-+
Counts
3 → 46
Calls
3 calls:
5.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
7.0ms
(* (+ (* a 2.0) 1.0) (* b t))
2.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series138.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms
(* (+ (* a 2.0) 1.0) (* b t))
33.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0279438
11080352
24023348
35001348

prune124.0ms

Filtered
55 candidates to 39 candidates (70.9%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh62329
Picked101
Done011
Total523486

Merged error: 38.2b

Counts
86 → 34

regimes1.8s

Accuracy

0% (4.2b remaining)

Error of 44.2b against oracle of 39.9b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.1s1776×body2560valid
1.5s2293×body1280valid
535.0ms1181×body640valid
201.0ms1887×body80valid
184.0ms560×body320valid
109.0ms42×body5120valid
59.0ms261×body160valid

Profiling

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