Details

Time bar (total: 2.0s)

analyze80.0ms

Algorithm
search

sample40.0ms

Algorithm
intervals
Results
9.0ms37×body1280valid
6.0ms10×body160valid
6.0ms35×body640valid
6.0ms148×body80valid
3.0ms26×body320valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (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*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
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)

series14.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0213320
1988289
25001289

prune80.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

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)))

rewrite30.0ms

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
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
frac-2neg clear-num associate-/r/
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)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671202
128851044
25001923

prune133.0ms

Filtered
112 candidates to 185 candidates (-65.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1832185
Fresh246
Picked101
Done000
Total1866192

Merged error: 0b

Counts
192 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
add-exp-log add-cbrt-cube
div-inv associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/r/
Counts
2 → 97
Calls
2 calls:
5.0ms
(/ x (/ y (sin y)))
3.0ms
(/ y (sin y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ x (/ y (sin y)))
5.0ms
(/ y (sin y))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0365711
11625675
25002674

prune88.0ms

Filtered
83 candidates to 103 candidates (-24.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh145
Picked011
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite16.0ms

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
pow1
cbrt-unprod
associate-*l*
associate-*r/ div-exp pow-prod-down
unswap-sqr
cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
div-inv
Counts
2 → 60
Calls
2 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* x (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0282337
11251269
25001252

prune47.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh044
Picked011
Done011
Total66672

Merged error: 0b

Counts
72 → 6

regimes134.0ms

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
053

end0.0ms

analyze124.0ms

Algorithm
search

sample942.0ms

Algorithm
intervals
Results
270.0ms978×body1280valid
234.0ms5158×body80valid
182.0ms1006×body640valid
72.0ms564×body320valid
26.0ms294×body160valid

Profiling

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