Details

Time bar (total: 9.5s)

sample147.0ms

Algorithm
intervals
Results
58.0ms54×body2560valid
42.0ms72×body1280valid
13.0ms36×body640valid
8.0ms19×body320valid
5.0ms67×body80valid
1.0ms8×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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: 45.2b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (+ (* y 2.0) 1.0) z) t)
2.0b
(* (* (+ (* a 2.0) 1.0) b) t)
34.7b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.0b
(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
(* (* (+ (* 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))

series147.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
32.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune315.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New462066
Fresh000
Picked101
Done000
Total472067

Merged error: 40.2b

Counts
67 → 20

localize14.0ms

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)))
2.0b
(* (* (+ (* a 2.0) 1.0) b) t)
36.0b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite25.0ms

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))

series182.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (+ (* a 2.0) 1.0) b)
66.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
38.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0319551
11335448
25001444

prune292.0ms

Filtered
78 candidates to 54 candidates (69.2%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New611778
Fresh51419
Picked101
Done000
Total673198

Merged error: 38.2b

Counts
98 → 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 (2.0ms)

IterNodesCost
000

prune100.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03030
Picked011
Done000
Total03131

Merged error: 38.2b

Counts
31 → 31

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt t) (cbrt t))
0.9b
(* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t))
1.4b
(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
36.1b
(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
41×pow1
36×add-exp-log
23×pow-prod-down
22×add-sqr-sqrt prod-exp cbrt-unprod
21×add-cbrt-cube
19×cbrt-prod
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×associate-*l/
8×associate-*l*
6×pow1/3 swap-sqr
4×add-log-exp unswap-sqr
3×*-commutative
2×flip3-+ pow-sqr pow-prod-up flip-+
1×pow2 pow-plus
Counts
4 → 103
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
16.0ms
(* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t))
13.0ms
(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
3.0ms
(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series477.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt t) (cbrt t))
65.0ms
(* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t))
162.0ms
(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
56.0ms
(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0428985
12154762
25001678

prune321.0ms

Filtered
115 candidates to 70 candidates (60.9%)
Pruning

44 alts after pruning (43 fresh and 1 done)

PrunedKeptTotal
New9718115
Fresh42529
Picked101
Done011
Total10244146

Merged error: 37.8b

Counts
146 → 44

regimes2.5s

Accuracy

0% (4.4b 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

sample4.6s

Algorithm
intervals
Results
2.0s1794×body2560valid
1.4s2305×body1280valid
478.0ms1224×body640valid
168.0ms568×body320valid
162.0ms1849×body80valid
76.0ms31×body5120valid
42.0ms229×body160valid