Details

sample57.0ms

Algorithm

intervals

Results

14.0ms	34×	body	1280	valid
11.0ms	42×	body	640	valid
11.0ms	177×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.2b	(/ (* x (/ (sin y) y)) z)

rewrite38.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series160.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
75.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1027	782
3	4743	779
done	5002	779

prune218.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
1.9b	(* x (/ (/ (sin y) y) z))

rewrite59.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

16.0ms	(/ (/ (sin y) y) z)
8.0ms	(/ (sin y) y)
28.0ms	(* x (/ (/ (sin y) y) z))

series135.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (/ (sin y) y) z)
30.0ms	(/ (sin y) y)
70.0ms	(* x (/ (/ (sin y) y) z))

simplify1.0s

Counts

177 → 177

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	254	2125
1	590	2001
2	1622	1871
done	5001	1868

prune423.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.1b	(/ y (sin y))
2.0b	(/ x (* z (/ y (sin y))))

rewrite34.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 89

Calls

3 calls:

15.0ms	(* z (/ y (sin y)))
6.0ms	(/ y (sin y))
11.0ms	(/ x (* z (/ y (sin y))))

series177.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* z (/ y (sin y)))
26.0ms	(/ y (sin y))
84.0ms	(/ x (* z (/ y (sin y))))

simplify2.2s

Counts

98 → 98

Iterations

Useful iterations: 3 (949.0ms)

Iter	Nodes	Cost
0	145	935
1	315	901
2	969	784
3	4376	781
done	5001	781

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
2.2b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite78.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 215

Calls

4 calls:

31.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))
8.0ms	(/ y (sin y))
20.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series177.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* x (/ 1 (/ y (sin y))))
28.0ms	(/ 1 (/ y (sin y)))
23.0ms	(/ y (sin y))
72.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.1s

Counts

227 → 227

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	294	2749
1	667	2189
2	1574	1854
done	5001	1833

prune391.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes133.0ms

Accuracy

40.3% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	22	27
done	22	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

261.0ms	968×	body	1280	valid
244.0ms	5897×	body	80	valid
181.0ms	1012×	body	640	valid
78.0ms	556×	body	320	valid
27.0ms	254×	body	160	valid