Details

Time bar (total: 11.9s)

sample49.0ms

Algorithm
intervals
Results
14.0ms190×body80valid
11.0ms36×body1280valid
6.0ms27×body640valid
2.0ms10×body320valid
1.0ms8×body160valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1128
2238
3488
4678
5768
done768

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 1

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)

rewrite24.0ms

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:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series32.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
17.0ms
(/ (* x (/ (sin y) y)) z)

simplify374.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0139893
1332857
21198741
done5001741

prune116.0ms

Filtered
68 candidates to 92 candidates (-35.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh000
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
2.9b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite49.0ms

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:
16.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))
7.0ms
(/ 1 (/ y (sin y)))
11.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series42.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
16.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify483.0ms

Counts
219 → 219
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
02862685
17282258
226571805
done50011805

prune176.0ms

Filtered
129 candidates to 219 candidates (-69.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2172219
Fresh358
Picked101
Done000
Total2217228

Merged error: 0.0b

Counts
228 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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:
4.0ms
(/ y (sin y))
6.0ms
(/ x (/ y (sin y)))
14.0ms
(/ (/ x (/ y (sin y))) z)

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (sin y))
12.0ms
(/ x (/ y (sin y)))
16.0ms
(/ (/ x (/ y (sin y))) z)

simplify835.0ms

Counts
302 → 302
Iterations

Useful iterations: 2 (382.0ms)

IterNodesCost
04905041
111784715
246974555
done50004555

prune271.0ms

Filtered
259 candidates to 302 candidates (-16.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3002302
Fresh336
Picked011
Done000
Total3036309

Merged error: 0b

Counts
309 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(/ z (/ (cbrt x) (/ y (sin y))))
2.5b
(/ (/ (* (cbrt x) (cbrt x)) 1) (/ z (/ (cbrt x) (/ y (sin y)))))

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
8480×times-frac
3204×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1098×cbrt-prod
461×div-inv
337×associate-/r*
99×add-exp-log
72×div-exp
51×add-cbrt-cube
44×cbrt-undiv
38×associate-/r/
10×associate-/l*
8×1-exp prod-exp
4×pow1 cbrt-unprod add-log-exp
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 2457
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
27.0ms
(/ z (/ (cbrt x) (/ y (sin y))))
85.0ms
(/ (/ (* (cbrt x) (cbrt x)) 1) (/ z (/ (cbrt x) (/ y (sin y)))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt x)
25.0ms
(cbrt x)
45.0ms
(/ z (/ (cbrt x) (/ y (sin y))))
29.0ms
(/ (/ (* (cbrt x) (cbrt x)) 1) (/ z (/ (cbrt x) (/ y (sin y)))))

simplify946.0ms

Counts
2469 → 2469
Iterations

Useful iterations: 0 (272.0ms)

IterNodesCost
0393786363
done500086363

prune6.2s

Filtered
2465 candidates to 2469 candidates (-0.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New246902469
Fresh044
Picked011
Done011
Total246962475

Merged error: 0b

Counts
2475 → 6

regimes246.0ms

Accuracy

90% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch53.0ms

Steps
ItersRangePoint
8
4.227347176163769e-19
4.761529482205169e-16
1.2718456118825912e-17
8
-3.2610475474487287e+66
-4.551298900941256e+63
-4.6126993240310055e+63

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01532
11925
done1925

end0.0ms

sample1.3s

Algorithm
intervals
Results
320.0ms5896×body80valid
308.0ms988×body1280valid
211.0ms1019×body640valid
83.0ms541×body320valid
29.0ms276×body160valid

Profiling

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