Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	42×	body	640	valid
10.0ms	35×	body	1280	valid
7.0ms	174×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	13×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
4.4b	(/ (* 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:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify730.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	139	893
1	325	857
2	1062	741
done	5001	741

prune219.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.4b	(* x (/ (/ (sin y) y) z))

rewrite43.0ms

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:

7.0ms	(/ (/ (sin y) y) z)
6.0ms	(/ (sin y) y)
22.0ms	(* x (/ (/ (sin y) y) z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (/ (sin y) y) z)
30.0ms	(/ (sin y) y)
68.0ms	(* x (/ (/ (sin y) y) z))

simplify682.0ms

Counts

171 → 171

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	248	2083
1	607	1961
2	1801	1831
done	5001	1831

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series726.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt z) (cbrt z))
175.0ms	(cbrt z)
173.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify2.7s

Counts

85 → 85

Iterations

Useful iterations: 4 (962.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3701	374
done	5000	374

prune260.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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)))
4.4b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite54.0ms

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:

26.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series170.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
24.0ms	(/ 1 (/ y (sin y)))
70.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify725.0ms

Counts

219 → 219

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	286	2685
1	710	2136
2	1681	1805
done	5001	1805

prune395.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

55.6% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch44.0ms

Steps

Iters	Range		Point
6	1.40601076113088e+127	1.037136642369095e+128	1.430539138784226e+127
4	-1.488070700371348e-93	-8.046542096483128e-94	-9.486114843931962e-94

simplify5.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	36
1	25	27
done	25	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

305.0ms	1019×	body	1280	valid
267.0ms	5803×	body	80	valid
225.0ms	1053×	body	640	valid
76.0ms	537×	body	320	valid
28.0ms	288×	body	160	valid