Details

Time bar (total: 10.5s)

analyze4.0ms

Algorithm
search

sample163.0ms

Algorithm
intervals
Results
61.0ms79×body1280valid
53.0ms44×body2560valid
19.0ms42×body640valid
7.0ms69×body80valid
6.0ms17×body320valid
1.0ms5×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.5b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (+ (* a 2.0) 1.0) b) t)
3.6b
(* (* (+ (* y 2.0) 1.0) z) t)
33.3b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite21.0ms

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:
7.0ms
(* (* (+ (* 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))

series45.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
15.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune279.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New452166
Fresh000
Picked101
Done000
Total462167

Merged error: 39.8b

Counts
67 → 21

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
1.7b
(* (* (+ (* a 2.0) 1.0) b) t)
33.3b
(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))

series56.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
10.0ms
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
13.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0414640
11984510
25001510

prune335.0ms

Filtered
58 candidates to 83 candidates (-43.1%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New671683
Fresh11920
Picked101
Done000
Total6935104

Merged error: 37.9b

Counts
104 → 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

prune196.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03434
Picked011
Done000
Total03535

Merged error: 37.9b

Counts
35 → 35

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
0.2b
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
2.5b
(* (+ (* a 2.0) 1.0) (* b t))
33.3b
(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
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)))
11.0ms
(/ (* (+ (* 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))

series55.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
11.0ms
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
9.0ms
(* (+ (* a 2.0) 1.0) (* b t))
12.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406642
11813512
25002512

prune118.0ms

Filtered
57 candidates to 83 candidates (-45.6%)
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New731083
Fresh62733
Picked101
Done011
Total8038118

Merged error: 37.7b

Counts
118 → 38

regimes3.5s

Accuracy

0% (4.4b remaining)

Error of 44.1b against oracle of 39.7b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

analyze3.0ms

Algorithm
search

sample5.3s

Algorithm
intervals
Results
2.3s1813×body2560valid
1.6s2264×body1280valid
557.0ms1173×body640valid
229.0ms1902×body80valid
192.0ms564×body320valid
90.0ms33×body5120valid
58.0ms251×body160valid

Profiling

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