Details

Time bar (total: 9.1s)

sample175.0ms

Algorithm
intervals
Results
77.0ms63×body2560valid
45.0ms71×body1280valid
19.0ms45×body640valid
5.0ms51×body80valid
4.0ms15×body320valid
3.0ms1×body5120valid
2.0ms10×body160valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 47.9b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (+ (* a 2.0) 1.0) b) t)
3.6b
(* (* (+ (* y 2.0) 1.0) z) t)
36.6b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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 (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0371438
11835354
25001354

prune339.0ms

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: 43.3b

Counts
67 → 20

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.2b
(* (* (+ (* a 2.0) 1.0) b) t)
36.6b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
14×pow1
11×prod-exp
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l/
6×associate-*r* pow-prod-down
4×add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ associate-*l* *-commutative flip-+ associate-/l/
1×frac-2neg 1-exp clear-num div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
5.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
9.0ms
(/ (* (* (+ (* 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))

series191.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
47.0ms
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
39.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0414640
11984510
25001510

prune308.0ms

Filtered
83 candidates to 58 candidates (69.9%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New661783
Fresh41519
Picked101
Done000
Total7132103

Merged error: 41.7b

Counts
103 → 32

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

prune107.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 41.7b

Counts
32 → 32

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
0.2b
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
1.8b
(* (+ (* a 2.0) 1.0) (* b t))
36.5b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
14×pow1
11×prod-exp
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down
4×associate-*r* associate-*l* associate-*l/ add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×frac-2neg 1-exp clear-num div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
5.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
9.0ms
(/ (* (+ (* 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))

series192.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
47.0ms
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
39.0ms
(* (+ (* a 2.0) 1.0) (* b t))
37.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406642
11813512
25002512

prune178.0ms

Filtered
83 candidates to 57 candidates (68.7%)
Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New731083
Fresh62430
Picked101
Done011
Total8035115

Merged error: 41.4b

Counts
115 → 35

regimes1.9s

Accuracy

0% (4.5b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s1857×body2560valid
1.7s2244×body1280valid
521.0ms1214×body640valid
192.0ms1851×body80valid
169.0ms532×body320valid
118.0ms45×body5120valid
60.0ms257×body160valid

Profiling

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