Details

Time bar (total: 10.0s)

analyze3.0ms

Algorithm
search

sample179.0ms

Algorithm
intervals
Results
58.0ms44×body2560valid
52.0ms73×body1280valid
20.0ms42×body640valid
13.0ms4×body5120valid
12.0ms20×body320valid
7.0ms68×body80valid
1.0ms5×body160valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.2b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (+ (* y 2.0) 1.0) z) t)
2.9b
(* (* (+ (* a 2.0) 1.0) b) t)
33.3b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.8b
(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
(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series45.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
15.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune273.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New442266
Fresh000
Picked101
Done000
Total452267

Merged error: 39.9b

Counts
67 → 22

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* a 2.0) 1.0) b)
0.2b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.9b
(* (* (+ (* a 2.0) 1.0) b) t)
34.8b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite24.0ms

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))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ (* a 2.0) 1.0) b)
24.0ms
(* (* 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))

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0319551
11335448
25001444

prune304.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New601878
Fresh61521
Picked101
Done000
Total6733100

Merged error: 38.1b

Counts
100 → 33

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

prune178.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03232
Picked011
Done000
Total03333

Merged error: 38.1b

Counts
33 → 33

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.9b
(* (+ (* a 2.0) 1.0) (* b t))
34.8b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite16.0ms

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))
3.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series45.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* (* 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))

simplify107.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0279438
11080352
24023348
35001348

prune79.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh42731
Picked101
Done011
Total533588

Merged error: 38.0b

Counts
88 → 35

regimes3.2s

Accuracy

0% (4.3b 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

analyze3.0ms

Algorithm
search

sample5.3s

Algorithm
intervals
Results
2.1s1741×body2560valid
1.6s2295×body1280valid
586.0ms1202×body640valid
216.0ms1875×body80valid
196.0ms554×body320valid
128.0ms46×body5120valid
77.0ms287×body160valid

Profiling

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