Details

Time bar (total: 2.8s)

analyze432.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample38.0ms

Algorithm
intervals
Results
10.0ms32×body1280valid
8.0ms167×body80valid
6.0ms28×body640valid
3.0ms16×body320valid
1.0ms13×body160valid
1.0ms12×body80invalid
0.0ms2×body320invalid
0.0ms1×body640invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04952739
14952739

prune135.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh011
Picked011
Done000
Total87794

Merged error: 0b

Counts
94 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.0b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04979943
14979943

prune92.0ms

Filtered
70 candidates to 114 candidates (-62.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done011
Total1147121

Merged error: 0b

Counts
121 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (sin y))
2.7b
(/ x (* y (/ z (sin y))))
6.1b
(* y (/ z (sin y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ z (sin y))
5.0ms
(/ x (* y (/ z (sin y))))
7.0ms
(* y (/ z (sin y)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ z (sin y))
14.0ms
(/ x (* y (/ z (sin y))))
13.0ms
(* y (/ z (sin y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04964739
14964739

prune79.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh224
Picked011
Done022
Total93699

Merged error: 0b

Counts
99 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

2.5b
(* x (/ (sin y) (* y z)))
6.0b
(/ (sin y) (* y z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(* x (/ (sin y) (* y z)))
5.0ms
(/ (sin y) (* y z))

series22.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* x (/ (sin y) (* y z)))
7.0ms
(/ (sin y) (* y z))

simplify56.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04965462
14965462

prune40.0ms

Filtered
38 candidates to 54 candidates (-42.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done033
Total54660

Merged error: 0b

Counts
60 → 6

regimes426.0ms

Accuracy

93.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02235
12235

end0.0ms

sample1.1s

Algorithm
intervals
Results
303.0ms963×body1280valid
259.0ms5284×body80valid
214.0ms1011×body640valid
70.0ms479×body320valid
30.0ms263×body160valid
25.0ms496×body80invalid
11.0ms44×body320invalid
9.0ms46×body640invalid
3.0ms27×body160invalid
1.0ms4×body1280invalid

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