Details

Time bar (total: 3.5s)

analyze421.0ms

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

sample37.0ms

Algorithm
intervals
Results
10.0ms34×body1280valid
8.0ms176×body80valid
6.0ms30×body640valid
2.0ms11×body320valid
1.0ms16×body80invalid
1.0ms5×body160valid

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.6b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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

series33.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
10.0ms
(* x (/ (sin y) y))
19.0ms
(/ (* x (/ (sin y) y)) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04952739
14952739

prune84.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New88492
Fresh101
Picked011
Done000
Total89594

Merged error: 0.0b

Counts
94 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(* x (/ 1 (/ y (sin y))))
0.2b
(/ 1 (/ y (sin y)))
2.6b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
3.0ms
(/ y (sin y))
14.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series38.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ y (sin y))
10.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ 1 (/ y (sin y)))
15.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049511967
149511967

prune186.0ms

Filtered
141 candidates to 219 candidates (-55.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2163219
Fresh123
Picked101
Done011
Total2186224

Merged error: 0b

Counts
224 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ (/ (sin y) y) z)
2.1b
(* x (/ (/ (sin y) y) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
4.0ms
(/ (sin y) y)
6.0ms
(/ (/ (sin y) y) z)
13.0ms
(* x (/ (/ (sin y) y) z))

series26.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
7.0ms
(/ (/ (sin y) y) z)
15.0ms
(* x (/ (/ (sin y) y) z))

simplify63.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049741831
149741831

prune148.0ms

Filtered
138 candidates to 171 candidates (-23.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1701171
Fresh134
Picked011
Done011
Total1716177

Merged error: 0b

Counts
177 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ (/ 1 (/ y (sin y))) z)
0.2b
(/ 1 (/ y (sin y)))
2.1b
(* x (/ (/ 1 (/ y (sin y))) z))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
821×times-frac
411×add-sqr-sqrt
392×*-un-lft-identity
390×add-cube-cbrt
136×associate-*r*
64×add-exp-log
50×associate-/l*
36×div-exp div-inv
34×add-cbrt-cube
19×associate-/r*
16×cbrt-undiv
8×prod-exp associate-/r/
7×pow1
6×rec-exp 1-exp unswap-sqr
4×cbrt-unprod add-log-exp
3×frac-2neg associate-*l* clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
4 → 470
Calls
4 calls:
3.0ms
(/ y (sin y))
16.0ms
(/ (/ 1 (/ y (sin y))) z)
6.0ms
(/ 1 (/ y (sin y)))
35.0ms
(* x (/ (/ 1 (/ y (sin y))) z))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (sin y))
7.0ms
(/ (/ 1 (/ y (sin y))) z)
4.0ms
(/ 1 (/ y (sin y)))
15.0ms
(* x (/ (/ 1 (/ y (sin y))) z))

simplify103.0ms

Algorithm
egg-herbie
Counts
482 → 482
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049566072
149566072

prune421.0ms

Filtered
338 candidates to 482 candidates (-42.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4820482
Fresh033
Picked011
Done022
Total4826488

Merged error: 0b

Counts
488 → 6

regimes380.0ms

Accuracy

79.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02135
12135

end0.0ms

sample1.1s

Algorithm
intervals
Results
311.0ms998×body1280valid
258.0ms5331×body80valid
203.0ms967×body640valid
68.0ms471×body320valid
25.0ms499×body80invalid
23.0ms233×body160valid
12.0ms58×body640invalid
7.0ms11×body1280invalid
6.0ms45×body320invalid
4.0ms39×body160invalid

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