Details

Time bar (total: 2.0s)

analyze81.0ms

Algorithm
search

sample29.0ms

Algorithm
intervals
Results
7.0ms171×body80valid
6.0ms23×body1280valid
6.0ms33×body640valid
2.0ms21×body320valid
1.0ms8×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
6.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series15.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0213320
1988289
25001289

prune77.0ms

Filtered
48 candidates to 65 candidates (-35.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New59665
Fresh000
Picked101
Done000
Total60666

Merged error: 0b

Counts
66 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
4×associate-*r/ div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv
Counts
2 → 60
Calls
2 calls:
6.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0282337
11251269
25001252

prune62.0ms

Filtered
42 candidates to 66 candidates (-57.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done000
Total66672

Merged error: 0b

Counts
72 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.2b
(cbrt (/ (sin y) y))
0.2b
(cbrt (/ (sin y) y))
0.2b
(cbrt (/ (sin y) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series97.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
22.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03001399
110621348
250011289

prune157.0ms

Filtered
126 candidates to 156 candidates (-23.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh044
Picked011
Done011
Total1566162

Merged error: 0b

Counts
162 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
6.0b
(/ (* x (sin y)) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(* x (sin y))
5.0ms
(/ (* x (sin y)) y)

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (sin y))
11.0ms
(/ (* x (sin y)) y)

simplify28.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0154189
1799158
25001158

prune37.0ms

Filtered
30 candidates to 45 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New43245
Fresh213
Picked101
Done022
Total46551

Merged error: 0b

Counts
51 → 5

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053

end0.0ms

analyze85.0ms

Algorithm
search

sample916.0ms

Algorithm
intervals
Results
257.0ms917×body1280valid
227.0ms5193×body80valid
181.0ms1002×body640valid
74.0ms562×body320valid
29.0ms326×body160valid

Profiling

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