Details

Time bar (total: 9.7s)

sample183.0ms

Algorithm
intervals
Results
64.0ms53×body2560valid
58.0ms76×body1280valid
21.0ms42×body640valid
7.0ms61×body80valid
5.0ms14×body320valid
3.0ms1×body5120valid
2.0ms9×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

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: 46.1b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (+ (* a 2.0) 1.0) b) t)
4.1b
(* (* (+ (* y 2.0) 1.0) z) t)
34.3b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.4b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite23.0ms

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

series159.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
45.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune348.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New442266
Fresh000
Picked101
Done000
Total452267

Merged error: 41.2b

Counts
67 → 22

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.2b
(* (* (+ (* a 2.0) 1.0) b) t)
34.4b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
14×pow1
11×prod-exp
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l/
6×associate-*r* pow-prod-down
4×add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ associate-*l* *-commutative flip-+ associate-/l/
1×frac-2neg 1-exp clear-num div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
5.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
10.0ms
(/ (* (* (+ (* 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))

series197.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
50.0ms
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
42.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0414640
11984510
25001510

prune331.0ms

Filtered
83 candidates to 58 candidates (69.9%)
Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New612283
Fresh51621
Picked101
Done000
Total6738105

Merged error: 39.5b

Counts
105 → 38

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune149.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03737
Picked011
Done000
Total03838

Merged error: 39.5b

Counts
38 → 38

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
0.2b
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
2.4b
(* (+ (* a 2.0) 1.0) (* b t))
34.4b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
14×pow1
11×prod-exp
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down
4×associate-*r* associate-*l* associate-*l/ add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×frac-2neg 1-exp clear-num div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
8.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
16.0ms
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
13.0ms
(* (+ (* a 2.0) 1.0) (* b t))
5.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
45.0ms
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
43.0ms
(* (+ (* a 2.0) 1.0) (* b t))
48.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0406642
11813512
25002512

prune181.0ms

Filtered
83 candidates to 57 candidates (68.7%)
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New721183
Fresh92736
Picked101
Done011
Total8239121

Merged error: 39.3b

Counts
121 → 39

regimes2.1s

Accuracy

0% (4.5b remaining)

Error of 44.5b against oracle of 40.1b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s1875×body2560valid
1.7s2273×body1280valid
557.0ms1152×body640valid
215.0ms1862×body80valid
202.0ms551×body320valid
109.0ms39×body5120valid
59.0ms248×body160valid

Profiling

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