Details

Time bar (total: 3.8s)

analyze446.0ms

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

sample50.0ms

Algorithm
intervals
Results
10.0ms28×body1280valid
9.0ms169×body80valid
7.0ms32×body640valid
4.0ms16×body80invalid
3.0ms16×body320valid
1.0ms11×body160valid
1.0ms3×body640invalid
0.0ms3×body320invalid
0.0ms3×body160invalid
0.0ms1×body1280invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.8b
(/ (* x (/ (sin y) y)) z)

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-/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))
4.0ms
(/ (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)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25002420

prune96.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done000
Total87693

Merged error: 0.0b

Counts
93 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
1.4b
(* 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:
6.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
16.0ms
(* x (/ (/ (sin y) y) z))

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

simplify81.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06051176
128621100
250011100

prune193.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1692171
Fresh145
Picked011
Done000
Total1707177

Merged error: 0b

Counts
177 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(* x (/ (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
24×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
15×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac associate-*r*
6×pow1
4×add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×div-inv
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* x (/ (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
25.0ms
(cbrt y)
21.0ms
(cbrt y)
51.0ms
(* x (/ (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z))))

simplify66.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05531081
12716822
25001740

prune94.0ms

Filtered
61 candidates to 92 candidates (-50.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done011
Total92799

Merged error: 0b

Counts
99 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ z (/ (sin y) y))
1.6b
(/ x (/ z (/ (sin y) y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
4.0ms
(/ (sin y) y)
6.0ms
(/ z (/ (sin y) y))
12.0ms
(/ x (/ z (/ (sin y) y)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
17.0ms
(/ z (/ (sin y) y))
16.0ms
(/ x (/ z (/ (sin y) y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011102950
150012830

prune227.0ms

Filtered
258 candidates to 302 candidates (-17.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3020302
Fresh044
Picked011
Done022
Total3027309

Merged error: 0b

Counts
309 → 7

regimes342.0ms

Accuracy

0% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

analyze452.0ms

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

sample1.2s

Algorithm
intervals
Results
327.0ms991×body1280valid
291.0ms5255×body80valid
212.0ms935×body640valid
93.0ms534×body320valid
31.0ms285×body160valid
29.0ms530×body80invalid
11.0ms47×body640invalid
9.0ms57×body320invalid
4.0ms10×body1280invalid
3.0ms30×body160invalid

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