Details

Time bar (total: 9.1s)

analyze1.1s

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

sample92.0ms

Algorithm
intervals
Results
20.0ms45×body1280valid
14.0ms133×body80valid
14.0ms18×body2560valid
11.0ms33×body640valid
5.0ms21×body320valid
5.0ms64×body80nan
3.0ms38×body80invalid
1.0msbody160valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
079619
179619

prune17.0ms

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: 20.6b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
22.2b
(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
cos-diff associate-*r* pow-prod-down
frac-2neg clear-num div-inv
distribute-rgt-in sub-neg cos-sum distribute-lft-in associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
7.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
8.0ms
(cos (- y (/ (* z t) 3.0)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
11.0ms
(cos (- y (/ (* z t) 3.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04982789
14982789

prune266.0ms

Filtered
60 candidates to 83 candidates (-38.3%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New622183
Fresh101
Picked101
Done000
Total642185

Merged error: 17.3b

Counts
85 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (* t (/ z 3.0))))
0.2b
(/ a (* b 3.0))
26.0b
(cos (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
add-log-exp
times-frac associate-*r* associate-*l* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv sin-mult unswap-sqr
Counts
4 → 54
Calls
4 calls:
5.0ms
(* (sin y) (sin (* t (/ z 3.0))))
5.0ms
(/ a (* b 3.0))
2.0ms
(cos (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (sin y) (sin (* t (/ z 3.0))))
3.0ms
(/ a (* b 3.0))
5.0ms
(cos (* t (/ z 3.0)))
4.0ms
(sin (* t (/ z 3.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04702527
14702527

prune275.0ms

Filtered
52 candidates to 66 candidates (-26.9%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh11920
Picked101
Done000
Total612687

Merged error: 17.2b

Counts
87 → 26

localize30.0ms

Local error

Found 4 expressions with local error:

26.0b
(cos (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
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 (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))

series16.0ms

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

simplify124.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
05077296

prune281.0ms

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

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh12425
Picked101
Done000
Total402666

Merged error: 17.2b

Counts
66 → 26

localize39.0ms

Local error

Found 4 expressions with local error:

26.2b
(sin (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))
26.2b
(sin (* t (/ z 3.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
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
(sin (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))
2.0ms
(sin (* t (/ z 3.0)))

series16.0ms

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

simplify109.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
04740300
14740300

prune175.0ms

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

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh12425
Picked011
Done000
Total402666

Merged error: 17.2b

Counts
66 → 26

regimes3.8s

Accuracy

61.3% (1.4b remaining)

Error of 17.8b against oracle of 16.4b and baseline of 20.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011098
111098

end0.0ms

sample2.5s

Algorithm
intervals
Results
713.0ms1517×body1280valid
344.0ms4415×body80valid
329.0ms1006×body640valid
303.0ms398×body2560valid
171.0ms2210×body80nan
110.0ms461×body320valid
81.0ms1068×body80invalid
35.0ms203×body160valid

Profiling

Loading profile data...