Details

Time bar (total: 9.7s)

sample150.0ms

Algorithm
intervals
Results
62.0ms54×body2560valid
43.0ms72×body1280valid
14.0ms36×body640valid
6.0ms67×body80valid
5.0ms19×body320valid
1.0ms8×body160valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 45.2b

Counts
2 → 1

localize23.0ms

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))

rewrite28.0ms

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)
12.0ms
(* (* (+ (* 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))

series151.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0387460
11897378
25001372

prune404.0ms

Filtered
74 candidates to 60 candidates (81.1%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New542074
Fresh000
Picked101
Done000
Total552075

Merged error: 40.1b

Counts
75 → 20

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)))
2.0b
(* (* (+ (* 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×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)))
9.0ms
(* (* (+ (* 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:
40.0ms
(* (+ (* a 2.0) 1.0) b)
68.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
40.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0332575
11299472
25002465

prune371.0ms

Filtered
86 candidates to 66 candidates (76.7%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New691786
Fresh51419
Picked101
Done000
Total7531106

Merged error: 38.1b

Counts
106 → 31

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

prune113.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03030
Picked011
Done000
Total03131

Merged error: 38.1b

Counts
31 → 31

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt t) (cbrt t))
0.9b
(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
2.9b
(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
36.0b
(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
29×add-exp-log
23×add-sqr-sqrt
19×cbrt-prod add-cbrt-cube
18×pow-prod-down
17×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×associate-*l*
6×pow1/3 swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 103
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
13.0ms
(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
10.0ms
(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
3.0ms
(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series508.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt t) (cbrt t))
71.0ms
(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
173.0ms
(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
60.0ms
(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0371880
11727729
25002655

prune348.0ms

Filtered
115 candidates to 73 candidates (63.5%)
Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New9619115
Fresh62329
Picked101
Done011
Total10343146

Merged error: 37.7b

Counts
146 → 43

regimes2.7s

Accuracy

0% (4.6b remaining)

Error of 44.5b against oracle of 39.9b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.9s1794×body2560valid
1.3s2305×body1280valid
454.0ms1224×body640valid
160.0ms1849×body80valid
149.0ms568×body320valid
75.0ms31×body5120valid
43.0ms229×body160valid