Details

Time bar (total: 11.7s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
99.7%0%0.3%1

sample193.0ms

Algorithm
intervals
Results
76.0ms60×body2560valid
56.0ms76×body1280valid
16.0ms36×body640valid
6.0ms60×body80valid
5.0ms2×body5120valid
5.0ms13×body320valid
2.0ms9×body160valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 46.1b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (+ (* a 2.0) 1.0) b) t)
2.7b
(* (* (+ (* y 2.0) 1.0) z) t)
34.2b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.8b
(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
(* (* (+ (* a 2.0) 1.0) b) t)
11.0ms
(* (* (+ (* 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))

series42.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms
(* (* (+ (* 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))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune271.0ms

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: 41.3b

Counts
67 → 22

localize13.0ms

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)))
2.2b
(* (* (+ (* a 2.0) 1.0) b) t)
35.8b
(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))

series50.0ms

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)))
11.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0319551
11335448
25001444

prune325.0ms

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

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New591978
Fresh61521
Picked101
Done000
Total6634100

Merged error: 39.8b

Counts
100 → 34

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

prune201.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03333
Picked011
Done000
Total03434

Merged error: 39.8b

Counts
34 → 34

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
3.1b
(* (+ (* a 2.0) 1.0) (* b t))
35.7b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite19.0ms

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:
6.0ms
(* (* 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))

series54.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
10.0ms
(* (+ (* a 2.0) 1.0) (* b t))
16.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0279438
11080352
24023348
35001348

prune134.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh52732
Picked101
Done011
Total553489

Merged error: 39.7b

Counts
89 → 34

regimes3.9s

Accuracy

0.8% (4.2b remaining)

Error of 44.0b against oracle of 39.7b and baseline of 44.0b

bsearch221.0ms

Steps
ItersRangePoint
9
2.0069612410519388e-75
3.5623155626000184e-70
2.1761479401547903e-75
9
-5.8248477091741265e-239
-4.9297708487565936e-244
-2.074813598440608e-243

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04214
14214

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
99.7%0%0.3%1

sample5.8s

Algorithm
intervals
Results
2.4s1797×body2560valid
1.8s2274×body1280valid
607.0ms1135×body640valid
243.0ms1917×body80valid
223.0ms581×body320valid
129.0ms41×body5120valid
72.0ms255×body160valid

Profiling

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