Details

Time bar (total: 8.9s)

sample169.0ms

Algorithm
intervals
Results
75.0ms62×body2560valid
43.0ms66×body1280valid
17.0ms38×body640valid
6.0ms66×body80valid
5.0ms15×body320valid
2.0ms9×body160valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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: 45.3b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* (+ (* a 2.0) 1.0) b) t)
3.4b
(* (* (+ (* y 2.0) 1.0) z) t)
35.0b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.7b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

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

series154.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0371438
11835354
25001354

prune355.0ms

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: 40.6b

Counts
67 → 22

localize17.0ms

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)
35.7b
(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×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))

series184.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* a 2.0) 1.0) b)
66.0ms
(* (* 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))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0319553
11336448
25002444

prune331.0ms

Filtered
78 candidates to 54 candidates (69.2%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New591978
Fresh51621
Picked101
Done000
Total6535100

Merged error: 38.8b

Counts
100 → 35

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

prune127.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03434
Picked011
Done000
Total03535

Merged error: 38.8b

Counts
35 → 35

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.4b
(* (+ (* a 2.0) 1.0) (* b t))
35.7b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite16.0ms

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:
5.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
7.0ms
(* (+ (* a 2.0) 1.0) (* b t))
3.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series140.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms
(* (+ (* a 2.0) 1.0) (* b t))
34.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0279438
11080352
24023348
35001348

prune137.0ms

Filtered
55 candidates to 39 candidates (70.9%)
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New46955
Fresh62733
Picked101
Done011
Total533790

Merged error: 38.8b

Counts
90 → 37

regimes2.0s

Accuracy

0% (4.3b remaining)

Error of 44.4b against oracle of 40.2b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.1s1821×body2560valid
1.4s2202×body1280valid
531.0ms1250×body640valid
192.0ms1866×body80valid
176.0ms568×body320valid
123.0ms48×body5120valid
50.0ms245×body160valid

Profiling

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