Details

Time bar (total: 3.5s)

sample40.0ms

Algorithm
intervals
Results
10.0ms31×body1280valid
9.0ms160×body80valid
5.0ms31×body320valid
5.0ms24×body640valid
1.0ms10×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune3.0ms

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: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune116.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New57865
Fresh000
Picked101
Done000
Total58866

Merged error: 0.0b

Counts
66 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
14.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* x (/ 1 (/ y (sin y))))
20.0ms
(/ y (sin y))
28.0ms
(/ 1 (/ y (sin y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05671204
128851046
25001925

prune236.0ms

Filtered
185 candidates to 113 candidates (61.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1832185
Fresh527
Picked011
Done000
Total1885193

Merged error: 0b

Counts
193 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 477
Calls
3 calls:
45.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series91.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
12.0ms
(/ 1 (sin y))
31.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017764443
150023822

prune621.0ms

Filtered
486 candidates to 256 candidates (52.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4860486
Fresh033
Picked011
Done011
Total4865491

Merged error: 0b

Counts
491 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series686.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt x) (cbrt x))
164.0ms
(cbrt x)
167.0ms
(cbrt x)
166.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune156.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0b

Counts
90 → 5

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample868.0ms

Algorithm
intervals
Results
244.0ms928×body1280valid
208.0ms5238×body80valid
157.0ms929×body640valid
73.0ms577×body320valid
28.0ms328×body160valid

Profiling

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