Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

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: 10.8b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b
(- (* (* z 2.0) z) (* y t))
18.3b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity add-log-exp
add-cube-cbrt
pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
sub-neg diff-log associate-/r/
frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
11.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series296.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms
(- (* (* z 2.0) z) (* y t))
179.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune137.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 4.6b

Counts
61 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.6b
(- (* (* z 2.0) z) (* y t))
4.9b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
add-log-exp
cbrt-undiv div-exp
pow1 div-inv associate-/l*
flip3-- flip--
sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
10.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms
(- (* (* z 2.0) z) (* y t))
8.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series370.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04721105
12263993
25003988

prune238.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh167
Picked011
Done000
Total11210122

Merged error: 2.4b

Counts
122 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.9b
(/ (* t y) z)
4.9b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp
pow1
flip3-- frac-2neg prod-exp clear-num associate-/r/ flip-- cbrt-unprod div-inv associate-/l*
sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
8.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
19.0ms
(/ (* t y) z)
173.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0312463
11403412
25001412

prune143.0ms

Filtered
67 candidates to 46 candidates (68.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New62567
Fresh448
Picked101
Done101
Total68977

Merged error: 0.5b

Counts
77 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
4.6b
(/ t (/ z y))
4.9b
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
49×add-sqr-sqrt *-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp add-log-exp
associate-/l*
pow1 associate-/r/
flip3-- frac-2neg clear-num flip--
sub-neg diff-log prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 107
Calls
3 calls:
13.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
5.0ms
(/ t (/ z y))
13.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

series262.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
20.0ms
(/ t (/ z y))
174.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0528830
12279774
25001773

prune258.0ms

Filtered
116 candidates to 91 candidates (78.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1142116
Fresh178
Picked101
Done000
Total1169125

Merged error: 0.5b

Counts
125 → 9

regimes172.0ms

Accuracy

0% (0.8b remaining)

Error of 1.3b against oracle of 0.5b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
11812

end0.0ms

sample602.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid

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