Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	178×	body	80	valid
11.0ms	27×	body	1280	valid
7.0ms	26×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify11.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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

Counts

2 → 63

Calls

2 calls:

25.0ms	(/ (sin y) y)
20.0ms	(* x (/ (sin y) y))

series112.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (sin y) y)
73.0ms	(* x (/ (sin y) y))

simplify518.0ms

Counts

69 → 69

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	102	595
1	236	572
2	992	524
done	5000	522

prune162.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite76.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 182

Calls

3 calls:

8.0ms	(/ y (sin y))
40.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ y (sin y))
70.0ms	(* x (/ 1 (/ y (sin y))))
35.0ms	(/ 1 (/ y (sin y)))

simplify1.5s

Counts

191 → 191

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	244	2235
1	672	1845
2	3415	1645
done	5000	1643

prune492.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

10.0ms	(* (sin y) x)
28.0ms	(* (* (sin y) x) (/ 1 y))

series101.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (sin y) x)
56.0ms	(* (* (sin y) x) (/ 1 y))

simplify2.3s

Counts

66 → 66

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	110	619
1	302	554
2	2002	427
done	5001	426

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`associate-/r*`
30×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`div-exp`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv`
6×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 214

Calls

4 calls:

7.0ms	(/ y (sin y))
14.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))
19.0ms	(/ 1 (/ y (sin y)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ y (sin y))
37.0ms	(/ y (sin y))
36.0ms	(/ 1 (/ y (sin y)))
30.0ms	(/ 1 (/ y (sin y)))

simplify962.0ms

Counts

226 → 226

Iterations

Useful iterations: done (956.0ms)

Iter	Nodes	Cost
0	164	2600
1	398	2166
2	2250	1968
done	5000	1966

prune655.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
done	10	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

825.0ms	944×	body	1280	valid
427.0ms	5139×	body	80	valid
261.0ms	1022×	body	640	valid
109.0ms	569×	body	320	valid
45.0ms	326×	body	160	valid