Details

Time bar (total: 2.1s)

analyze85.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14

sample32.0ms

Algorithm
intervals
Results
9.0ms36×body1280valid
7.0ms172×body80valid
5.0ms30×body640valid
2.0ms13×body320valid
0.0ms5×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1166

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)

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)

series21.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05076493

prune77.0ms

Filtered
51 candidates to 65 candidates (-27.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59665
Fresh000
Picked011
Done000
Total59766

Merged error: 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))
0.5b
(/ 1 (/ y (sin y)))

rewrite34.0ms

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:
17.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049431655
149431655

prune149.0ms

Filtered
122 candidates to 185 candidates (-51.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1850185
Fresh055
Picked011
Done011
Total1857192

Merged error: 0b

Counts
192 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
41×add-sqr-sqrt
37×times-frac
34×add-cube-cbrt *-un-lft-identity
16×associate-*l*
6×pow1 add-exp-log
5×add-cbrt-cube
4×cbrt-div div-inv add-log-exp
3×pow1/3 associate-*r* unswap-sqr
1×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
6.0ms
(* (cbrt (/ (sin y) y)) x)
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (/ (sin y) y)) x)
22.0ms
(cbrt (/ (sin y) y))
24.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))

simplify59.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049731002
149731002

prune107.0ms

Filtered
91 candidates to 112 candidates (-23.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh044
Picked011
Done022
Total1127119

Merged error: 0b

Counts
119 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt 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 y)
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))

simplify53.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05040265

prune46.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done033
Total56763

Merged error: 0b

Counts
63 → 7

regimes191.0ms

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
066
166

end0.0ms

sample887.0ms

Algorithm
intervals
Results
252.0ms959×body1280valid
228.0ms5246×body80valid
158.0ms934×body640valid
74.0ms551×body320valid
27.0ms310×body160valid

Profiling

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