Details

Time bar (total: 12.1s)

analyze4.0ms

Algorithm
search

sample190.0ms

Algorithm
intervals
Results
71.0ms54×body2560valid
60.0ms73×body1280valid
21.0ms40×body640valid
9.0ms65×body80valid
6.0ms2×body5120valid
5.0ms14×body320valid
2.0ms8×body160valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.5b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (+ (* y 2.0) 1.0) z) t)
2.7b
(* (* (+ (* a 2.0) 1.0) b) t)
31.6b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.8b
(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:
7.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
7.0ms
(* (* (+ (* a 2.0) 1.0) b) 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))

series44.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune266.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New471966
Fresh000
Picked101
Done000
Total481967

Merged error: 40.6b

Counts
67 → 19

localize15.0ms

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)))
2.7b
(* (* (+ (* a 2.0) 1.0) b) t)
35.8b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite23.0ms

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:
6.0ms
(* (+ (* a 2.0) 1.0) b)
5.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
7.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series49.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ (* a 2.0) 1.0) b)
21.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
13.0ms
(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

prune299.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New621678
Fresh41418
Picked101
Done000
Total673097

Merged error: 38.9b

Counts
97 → 30

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

prune168.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New000
Fresh02929
Picked011
Done000
Total03030

Merged error: 38.9b

Counts
30 → 30

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt t) (cbrt t))
0.7b
(* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t))
2.3b
(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
35.2b
(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite37.0ms

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:
5.0ms
(* (cbrt t) (cbrt t))
14.0ms
(* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t))
11.0ms
(* (* (+ (* 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))

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt t) (cbrt t))
12.0ms
(* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t))
42.0ms
(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
14.0ms
(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 (56.0ms)

IterNodesCost
04681028
12206811
25001728

prune137.0ms

Filtered
65 candidates to 115 candidates (-76.9%)
Pruning

47 alts after pruning (46 fresh and 1 done)

PrunedKeptTotal
New9421115
Fresh32528
Picked101
Done011
Total9847145

Merged error: 38.6b

Counts
145 → 47

regimes4.4s

Accuracy

2.7% (4.5b remaining)

Error of 43.9b against oracle of 39.4b and baseline of 44.0b

bsearch238.0ms

Steps
ItersRangePoint
10
1.0147015540106021e-159
1.5336124095509882e-148
2.4281698041647806e-154
10
-6.907195570973651e-111
-6.150404731336534e-128
-1.2171229408338382e-113

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04214
14214

end0.0ms

analyze3.0ms

Algorithm
search

sample5.8s

Algorithm
intervals
Results
2.3s1763×body2560valid
2.0s2324×body1280valid
581.0ms1109×body640valid
238.0ms1934×body80valid
215.0ms569×body320valid
103.0ms35×body5120valid
67.0ms266×body160valid

Profiling

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