Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
8.0ms	198×	body	80	valid
5.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify31.0ms

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: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* 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)
6.0ms	(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify576.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	139	893
1	332	857
2	1527	741
done	5001	741

prune203.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:

3.0ms	(/ (sin y) y)
7.0ms	(/ (/ (sin y) y) z)
20.0ms	(* x (/ (/ (sin y) y) z))

series130.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (sin y) y)
38.0ms	(/ (/ (sin y) y) z)
66.0ms	(* x (/ (/ (sin y) y) z))

simplify992.0ms

Counts

171 → 171

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	248	2083
1	616	1961
2	2775	1831
done	5000	1831

prune415.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ (/ 1 (/ y (sin y))) z)
0.1b	(/ 1 (/ y (sin y)))
2.3b	(* x (/ (/ 1 (/ y (sin y))) z))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
411×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`add-cube-cbrt`
136×	`associate-r`
64×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`cbrt-undiv`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
4×	`cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 470

Calls

4 calls:

2.0ms	(/ y (sin y))
17.0ms	(/ (/ 1 (/ y (sin y))) z)
6.0ms	(/ 1 (/ y (sin y)))
60.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series154.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ y (sin y))
34.0ms	(/ (/ 1 (/ y (sin y))) z)
31.0ms	(/ 1 (/ y (sin y)))
67.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify692.0ms

Counts

482 → 482

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	645	7755
1	1703	6650
done	5000	5678

prune941.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)))
2.7b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite52.0ms

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:

22.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
13.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series174.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (/ 1 (/ y (sin y))))
27.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))
71.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify2.0s

Counts

219 → 219

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	286	2685
1	728	2258
2	2979	1805
done	5001	1805

prune386.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

57.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.8b

bsearch73.0ms

Steps

Iters	Range		Point
6	1.9992484636444498e-87	2.7605339632676373e-86	2.866079422848979e-87
10	-9.331139223993623e-226	-5.7033062948028695e-238	-5.837445161046879e-226

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	40
1	26	30
done	26	30

end0.0ms

sample1.0s

Algorithm

intervals

Results

281.0ms	998×	body	1280	valid
261.0ms	5900×	body	80	valid
183.0ms	988×	body	640	valid
80.0ms	599×	body	320	valid
27.0ms	299×	body	160	valid