Details

Time bar (total: 2.1s)

sample34.0ms

Algorithm
intervals
Results
7.0ms27×body1280valid
7.0ms170×body80valid
6.0ms34×body640valid
2.0ms18×body320valid
1.0msbody160valid

simplify7.0ms

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

rewrite13.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series22.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25001289

prune81.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60565
Fresh000
Picked011
Done000
Total60666

Merged error: 0.0b

Counts
66 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:
4.0ms
(/ y (sin y))
18.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (sin y))
11.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ 1 (/ y (sin y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05671202
128851044
25001923

prune136.0ms

Filtered
111 candidates to 185 candidates (-66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1832185
Fresh224
Picked101
Done011
Total1865191

Merged error: 0b

Counts
191 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
4.0ms
(/ y (sin y))
6.0ms
(/ x (/ y (sin y)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ y (sin y))
11.0ms
(/ x (/ y (sin y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0365711
11625675
25001674

prune86.0ms

Filtered
81 candidates to 103 candidates (-27.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh123
Picked011
Done011
Total1035108

Merged error: 0b

Counts
108 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
35×add-exp-log
23×div-inv
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
associate-/l*
associate-/r/
pow1 rec-exp 1-exp
frac-2neg clear-num add-log-exp
pow-flip inv-pow
Counts
3 → 303
Calls
3 calls:
6.0ms
(/ 1 (/ (sin y) y))
4.0ms
(/ (sin y) y)
16.0ms
(/ x (/ 1 (/ (sin y) y)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 1 (/ (sin y) y))
4.0ms
(/ (sin y) y)
11.0ms
(/ x (/ 1 (/ (sin y) y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
010622923
150022559

prune253.0ms

Filtered
196 candidates to 312 candidates (-59.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3120312
Fresh022
Picked011
Done022
Total3125317

Merged error: 0b

Counts
317 → 5

regimes171.0ms

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
063
163

end0.0ms

sample940.0ms

Algorithm
intervals
Results
243.0ms932×body1280valid
219.0ms5201×body80valid
163.0ms952×body640valid
71.0ms586×body320valid
29.0ms329×body160valid

Profiling

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