Details

Time bar (total: 2.2s)

analyze82.0ms

Algorithm
search

sample39.0ms

Algorithm
intervals
Results
13.0ms164×body80valid
9.0ms28×body1280valid
5.0ms28×body640valid
3.0ms24×body320valid
1.0ms12×body160valid

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

localize6.0ms

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

series15.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25001289

prune92.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New551065
Fresh000
Picked011
Done000
Total551166

Merged error: 0.0b

Counts
66 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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))))
6.0ms
(/ 1 (/ y (sin y)))
3.0ms
(/ y (sin y))

series23.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ 1 (/ y (sin y)))
9.0ms
(/ y (sin y))

simplify67.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05671202
128851044
25001923

prune131.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1841185
Fresh549
Picked011
Done101
Total1906196

Merged error: 0.0b

Counts
196 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite14.0ms

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:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify113.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune82.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
7.1b
(* (* x (sin y)) (/ 1 y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
9×pow1 times-frac
7×cbrt-unprod
4×div-exp associate-*l* pow-prod-down
2×cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
1×associate-*r/ un-div-inv div-inv unswap-sqr
Counts
2 → 56
Calls
2 calls:
4.0ms
(* x (sin y))
8.0ms
(* (* x (sin y)) (/ 1 y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (sin y))
10.0ms
(* (* x (sin y)) (/ 1 y))

simplify40.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0286307
11568245
25001231

prune42.0ms

Filtered
36 candidates to 62 candidates (-72.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New61162
Fresh033
Picked011
Done022
Total61768

Merged error: 0b

Counts
68 → 7

regimes222.0ms

Accuracy

0% (0.2b 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

analyze75.0ms

Algorithm
search

sample899.0ms

Algorithm
intervals
Results
253.0ms911×body1280valid
231.0ms5205×body80valid
170.0ms986×body640valid
71.0ms572×body320valid
28.0ms326×body160valid

Profiling

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