Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
5.0ms	159×	body	80	valid
5.0ms	27×	body	640	valid
2.0ms	25×	body	160	valid
1.0ms	14×	body	320	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	11	6
3	15	6
4	16	6
done	16	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (469.0ms)

Iter	Nodes	Cost
0	102	595
1	217	568
2	597	516
3	2077	514
done	5000	514

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (/ (sin y) y) x)
28.0ms	(/ (sin y) y)

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: 3 (705.0ms)

Iter	Nodes	Cost
0	104	578
1	220	563
2	654	509
3	2341	507
done	5000	507

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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:

23.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (/ 1 (/ y (sin y))))
28.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))

simplify1.9s

Counts

191 → 191

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	244	2235
1	577	1761
2	1140	1524
3	3315	1504
done	5001	1504

prune362.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
6.6b	(/ (* x (sin y)) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

4.0ms	(* x (sin y))
4.0ms	(/ (* x (sin y)) y)

series103.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (sin y))
61.0ms	(/ (* x (sin y)) y)

simplify1.6s

Counts

49 → 49

Iterations

Useful iterations: 3 (539.0ms)

Iter	Nodes	Cost
0	74	371
1	157	361
2	506	309
3	2610	308
done	5001	308

prune109.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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

sample831.0ms

Algorithm

intervals

Results

228.0ms	943×	body	1280	valid
205.0ms	5210×	body	80	valid
163.0ms	1009×	body	640	valid
59.0ms	542×	body	320	valid
23.0ms	296×	body	160	valid