Details

Time bar (total: 8.7s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%74.8%25.2%8
0%74.8%25.2%9
0%74.8%25.2%10
0%74.8%25.2%11
0%74.8%25.2%12
24.9%49.9%25.2%13
24.9%37.4%37.7%14

sample104.0ms

Algorithm
intervals
Results
24.0ms44×body1280valid
14.0ms16×body2560valid
13.0ms146×body80valid
10.0ms26×body640valid
9.0ms17×body320valid
8.0ms89×body80nan
2.0ms27×body80invalid
2.0ms7×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04419
14419

prune26.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.8b

Counts
2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (/ t 3.0))
0.3b
(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
0.3b
(/ a (* 3.0 b))
25.7b
(cos (- y (* z (/ t 3.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-*r* add-cbrt-cube
13×times-frac
9×associate-*l*
8×pow1
4×prod-exp sqrt-prod cbrt-unprod add-log-exp unswap-sqr
3×cbrt-undiv cos-diff div-exp associate-/l*
2×pow-prod-down *-commutative div-inv
1×distribute-rgt-in sub-neg cos-sum frac-2neg distribute-lft-in associate-*r/ clear-num associate-/r*
Counts
4 → 86
Calls
4 calls:
7.0ms
(* z (/ t 3.0))
5.0ms
(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
4.0ms
(/ a (* 3.0 b))
3.0ms
(cos (- y (* z (/ t 3.0))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (/ t 3.0))
27.0ms
(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
3.0ms
(/ a (* 3.0 b))
11.0ms
(cos (- y (* z (/ t 3.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05126897

prune353.0ms

Filtered
73 candidates to 98 candidates (-34.2%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New752398
Fresh101
Picked101
Done000
Total7723100

Merged error: 17.4b

Counts
100 → 23

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* 3.0 b))
1.1b
(* (sin (* z (/ t 3.0))) (sqrt x))
30.2b
(cos (* z (/ t 3.0)))
30.5b
(sin (* z (/ t 3.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×pow1 associate-*r*
4×sqrt-prod add-log-exp
3×times-frac associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 57
Calls
4 calls:
4.0ms
(/ a (* 3.0 b))
5.0ms
(* (sin (* z (/ t 3.0))) (sqrt x))
2.0ms
(cos (* z (/ t 3.0)))
2.0ms
(sin (* z (/ t 3.0)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* 3.0 b))
17.0ms
(* (sin (* z (/ t 3.0))) (sqrt x))
4.0ms
(cos (* z (/ t 3.0)))
8.0ms
(sin (* z (/ t 3.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05060584

prune454.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New591069
Fresh41822
Picked101
Done000
Total642892

Merged error: 17.3b

Counts
92 → 28

localize63.0ms

Local error

Found 4 expressions with local error:

30.2b
(cos (* z (/ t 3.0)))
30.2b
(cos (* z (/ t 3.0)))
30.2b
(cos (* z (/ t 3.0)))
30.5b
(sin (* z (/ t 3.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
2.0ms
(cos (* z (/ t 3.0)))
2.0ms
(cos (* z (/ t 3.0)))
2.0ms
(cos (* z (/ t 3.0)))
2.0ms
(sin (* z (/ t 3.0)))

series17.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(cos (* z (/ t 3.0)))
4.0ms
(cos (* z (/ t 3.0)))
5.0ms
(cos (* z (/ t 3.0)))
4.0ms
(sin (* z (/ t 3.0)))

simplify124.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
05077288

prune305.0ms

Filtered
36 candidates to 40 candidates (-11.1%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh12627
Picked101
Done000
Total402868

Merged error: 17.2b

Counts
68 → 28

localize43.0ms

Local error

Found 4 expressions with local error:

30.2b
(cos (* z (/ t 3.0)))
30.2b
(cos (* z (/ t 3.0)))
30.5b
(cos (* z (* t 0.3333333333333333)))
30.5b
(sin (* z (/ t 3.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
3.0ms
(cos (* z (/ t 3.0)))
4.0ms
(cos (* z (/ t 3.0)))
5.0ms
(cos (* z (* t 0.3333333333333333)))
3.0ms
(sin (* z (/ t 3.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(cos (* z (/ t 3.0)))
4.0ms
(cos (* z (/ t 3.0)))
4.0ms
(cos (* z (* t 0.3333333333333333)))
5.0ms
(sin (* z (/ t 3.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
05055288

prune137.0ms

Filtered
35 candidates to 40 candidates (-14.3%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New37340
Fresh02727
Picked101
Done000
Total383068

Merged error: 17.2b

Counts
68 → 30

regimes1.7s

Accuracy

0% (4.0b remaining)

Error of 20.3b against oracle of 16.3b and baseline of 20.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04867
14867

end0.0ms

analyze1.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%74.8%25.2%8
0%74.8%25.2%9
0%74.8%25.2%10
0%74.8%25.2%11
0%74.8%25.2%12
24.9%49.9%25.2%13
24.9%37.4%37.7%14

sample2.5s

Algorithm
intervals
Results
772.0ms1603×body1280valid
367.0ms4486×body80valid
317.0ms958×body640valid
288.0ms371×body2560valid
180.0ms2269×body80nan
99.0ms404×body320valid
83.0ms1081×body80invalid
31.0ms178×body160valid

Profiling

Loading profile data...