Details

Time bar (total: 3.3s)

analyze593.0ms

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

sample41.0ms

Algorithm
intervals
Results
12.0ms175×body80valid
9.0ms31×body1280valid
6.0ms28×body640valid
2.0ms17×body320valid
1.0ms20×body80invalid
1.0ms5×body160valid
0.0ms3×body320invalid
0.0ms1×body1280invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune9.0ms

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)
2.8b
(/ (* 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)

series29.0ms

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

prune104.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh011
Picked101
Done000
Total85994

Merged error: 0b

Counts
94 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
2.8b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite46.0ms

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:
15.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
13.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series34.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
14.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049511967
149511967

prune180.0ms

Filtered
140 candidates to 219 candidates (-56.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2172219
Fresh358
Picked101
Done000
Total2217228

Merged error: 0b

Counts
228 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.3b
(* x (/ (/ (sin y) y) z))

rewrite30.0ms

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)
14.0ms
(* x (/ (/ (sin y) y) z))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
17.0ms
(* x (/ (/ (sin y) y) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049741831
149741831

prune141.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh066
Picked011
Done000
Total1717178

Merged error: 0b

Counts
178 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.1b
(/ y (sin y))
2.8b
(/ (/ x (/ y (sin y))) z)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×associate-/l*
23×div-inv
19×add-exp-log associate-/r* add-cbrt-cube
10×cbrt-undiv div-exp
5×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
6.0ms
(/ x (/ y (sin y)))
3.0ms
(/ y (sin y))
15.0ms
(/ (/ x (/ y (sin y))) z)

series30.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ x (/ y (sin y)))
6.0ms
(/ y (sin y))
14.0ms
(/ (/ x (/ y (sin y))) z)

simplify91.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049404547
149404547

prune227.0ms

Filtered
261 candidates to 302 candidates (-15.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3011302
Fresh235
Picked011
Done011
Total3036309

Merged error: 0b

Counts
309 → 6

regimes275.0ms

Accuracy

83.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch36.0ms

Steps
ItersRangePoint
5
1.5217162125959524e+86
4.170630460329614e+86
1.5499491361677228e+86
6
-2.6285745617299568e+87
-5.743748556852502e+86
-8.52145976776694e+86

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02132
12132

end0.0ms

sample1.1s

Algorithm
intervals
Results
304.0ms999×body1280valid
265.0ms5257×body80valid
196.0ms938×body640valid
75.0ms527×body320valid
36.0ms279×body160valid
29.0ms575×body80invalid
8.0ms42×body640invalid
8.0ms55×body320invalid
3.0ms29×body160invalid
3.0ms9×body1280invalid

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