Details

Time bar (total: 9.7s)

sample163.0ms

Algorithm
intervals
Results
56.0ms48×body2560valid
49.0ms76×body1280valid
15.0ms36×body640valid
11.0ms68×body80valid
8.0ms26×body320valid
3.0ms1×body5120valid
0.0ms1×body160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
110314
223414
345014
480014
5113614
6137614
7148214
8167614
9171214
10171214

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 62
Calls
4 calls:
9.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms
(* (* (+ (* 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))

series159.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms
(* (* (+ (* a 2.0) 1.0) b) 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))

simplify53.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0387460
11897378
25001372

prune404.0ms

Filtered
74 candidates to 60 candidates (81.1%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New532174
Fresh000
Picked101
Done000
Total542175

Merged error: 39.8b

Counts
75 → 21

localize13.0ms

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))

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-+ flip-+
1×1-exp unswap-sqr
Counts
4 → 74
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))

series184.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* a 2.0) 1.0) b)
69.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
43.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0332575
11299472
25002465

prune366.0ms

Filtered
86 candidates to 66 candidates (76.7%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New691786
Fresh61420
Picked101
Done000
Total7631107

Merged error: 38.3b

Counts
107 → 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 (1.0ms)

IterNodesCost
000

prune114.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03030
Picked011
Done000
Total03131

Merged error: 38.3b

Counts
31 → 31

localize18.0ms

Local error

Found 4 expressions with local error:

17.1b
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
17.1b
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
17.1b
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
35.5b
(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l/
6×cbrt-div
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod flip3-+ pow1/3 flip-+
Counts
4 → 48
Calls
4 calls:
7.0ms
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
7.0ms
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
7.0ms
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
2.0ms
(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

series469.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
145.0ms
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
142.0ms
(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
38.0ms
(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0282906
1785825
22818717
35001708

prune290.0ms

Filtered
60 candidates to 59 candidates (98.3%)
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New481260
Fresh32629
Picked101
Done011
Total523991

Merged error: 38.1b

Counts
91 → 39

regimes2.2s

Accuracy

0% (4.3b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.1s1776×body2560valid
1.5s2293×body1280valid
523.0ms1181×body640valid
190.0ms1887×body80valid
181.0ms560×body320valid
114.0ms42×body5120valid
58.0ms261×body160valid

Profiling

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