Details

Time bar (total: 10.9s)

sample180.0ms

Algorithm
intervals
Results
75.0ms61×body2560valid
47.0ms72×body1280valid
15.0ms36×body640valid
7.0ms21×body320valid
6.0ms57×body80valid
3.0ms1×body5120valid
2.0ms8×body160valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 47.0b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* (+ (* a 2.0) 1.0) b) t)
3.1b
(* (* (+ (* y 2.0) 1.0) z) t)
32.8b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.2b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

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
(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series41.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0371438
11835354
25001354

prune287.0ms

Filtered
66 candidates to 50 candidates (24.2%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New442266
Fresh000
Picked101
Done000
Total452267

Merged error: 42.3b

Counts
67 → 22

localize15.0ms

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)
36.2b
(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:
6.0ms
(* (+ (* 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))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ (* a 2.0) 1.0) b)
22.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0319553
11336448
25002444

prune337.0ms

Filtered
78 candidates to 54 candidates (30.8%)
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New562278
Fresh61521
Picked101
Done000
Total6337100

Merged error: 40.5b

Counts
100 → 37

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune212.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03636
Picked011
Done000
Total03737

Merged error: 40.5b

Counts
37 → 37

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.1b
(* (+ (* a 2.0) 1.0) (* b t))
36.2b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite18.0ms

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:
7.0ms
(* (* 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))

series42.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
9.0ms
(* (+ (* a 2.0) 1.0) (* b t))
12.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0279438
11080352
24023348
35001348

prune81.0ms

Filtered
55 candidates to 38 candidates (30.9%)
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh72835
Picked101
Done011
Total533992

Merged error: 40.4b

Counts
92 → 39

regimes3.7s

Accuracy

0% (4.4b remaining)

Error of 44.6b against oracle of 40.3b and baseline of 44.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.2s1808×body2560valid
1.6s2305×body1280valid
554.0ms1200×body640valid
205.0ms1836×body80valid
192.0ms556×body320valid
119.0ms44×body5120valid
62.0ms251×body160valid

Profiling

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