Details

Time bar (total: 2.8s)

analyze385.0ms

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

sample35.0ms

Algorithm
intervals
Results
9.0ms38×body1280valid
8.0ms177×body80valid
4.0ms21×body640valid
2.0ms12×body320valid
1.0ms8×body160valid
1.0ms14×body80invalid
0.0ms2×body320invalid
0.0ms1×body1280invalid
0.0ms1×body640invalid
0.0ms1×body160invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06812
16812

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.3b
(/ (* 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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series34.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
20.0ms
(/ (* x (/ (sin y) y)) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049531158
149531158

prune101.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh000
Picked101
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.5b
(/ x (/ z (/ (sin y) y)))

rewrite43.0ms

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:
6.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
12.0ms
(/ x (/ z (/ (sin y) y)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
16.0ms
(/ x (/ z (/ (sin y) y)))

simplify111.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
052547392

prune234.0ms

Filtered
254 candidates to 302 candidates (-18.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2993302
Fresh426
Picked011
Done000
Total3036309

Merged error: 0b

Counts
309 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(* z (/ y (sin y)))
0.2b
(/ y (sin y))
2.5b
(/ x (* z (/ y (sin y))))

rewrite20.0ms

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:
7.0ms
(* z (/ y (sin y)))
4.0ms
(/ y (sin y))
6.0ms
(/ x (* z (/ y (sin y))))

series36.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* z (/ y (sin y)))
6.0ms
(/ y (sin y))
16.0ms
(/ x (* z (/ y (sin y))))

simplify65.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050301163

prune74.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done011
Total92698

Merged error: 0b

Counts
98 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (sin y))
3.3b
(/ (/ (* x (sin y)) y) z)
8.4b
(/ (* x (sin y)) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 87
Calls
3 calls:
4.0ms
(* x (sin y))
6.0ms
(/ (/ (* x (sin y)) y) z)
4.0ms
(/ (* x (sin y)) y)

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (sin y))
14.0ms
(/ (/ (* x (sin y)) y) z)
10.0ms
(/ (* x (sin y)) y)

simplify80.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049651383
149651383

prune66.0ms

Filtered
69 candidates to 96 candidates (-39.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6

regimes217.0ms

Accuracy

48.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.1b

bsearch32.0ms

Steps
ItersRangePoint
11
-2.601590201062502e+61
-1.7645269093306587e+38
-4.4107549280265686e+38

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01530
11530

end0.0ms

sample1.0s

Algorithm
intervals
Results
264.0ms1047×body1280valid
246.0ms5247×body80valid
173.0ms944×body640valid
66.0ms497×body320valid
31.0ms508×body80invalid
25.0ms265×body160valid
7.0ms43×body640invalid
6.0ms48×body320invalid
3.0ms14×body1280invalid
3.0ms29×body160invalid

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