Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	178×	body	80	valid
8.0ms	27×	body	1280	valid
5.0ms	26×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

21.0ms	(/ (sin y) y)
15.0ms	(* x (/ (sin y) y))

series432.0ms

Counts

2 → 6

Calls

2 calls:

369.0ms	(/ (sin y) y)
63.0ms	(* x (/ (sin y) y))

simplify662.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	98	571
1	232	549
2	999	501
done	5000	501

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

10.0ms	(/ y (sin y))
47.0ms	(* x (/ 1 (/ y (sin y))))
19.0ms	(/ 1 (/ y (sin y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ y (sin y))
76.0ms	(* x (/ 1 (/ y (sin y))))
46.0ms	(/ 1 (/ y (sin y)))

simplify1.6s

Counts

185 → 185

Iterations

Useful iterations: 2 (549.0ms)

Iter	Nodes	Cost
0	238	2193
1	659	1812
2	3323	1590
done	5000	1590

prune522.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
6.7b	(* (* x (sin y)) (/ 1 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

9.0ms	(* x (sin y))
29.0ms	(* (* x (sin y)) (/ 1 y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (sin y))
59.0ms	(* (* x (sin y)) (/ 1 y))

simplify1.9s

Counts

62 → 62

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	105	592
1	293	527
2	1852	408
done	5002	402

prune160.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

7.7b	(/ (sin y) (/ y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

19.0ms

(/ (sin y) (/ y x))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(/ (sin y) (/ y x))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	156	1001
1	391	950
2	2046	894
done	5000	890

prune209.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

767.0ms	944×	body	1280	valid
378.0ms	5139×	body	80	valid
293.0ms	1022×	body	640	valid
150.0ms	569×	body	320	valid
42.0ms	326×	body	160	valid