Details

sample146.0ms

Algorithm

intervals

Results

45.0ms	87×	body	1280	valid
43.0ms	263×	body	80	valid
25.0ms	75×	body	640	valid
9.0ms	40×	body	320	valid
4.0ms	24×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
9	4149
8	1946
7	941
6	316
5	142
4	89
3	50
2	28
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/ (sin y) y)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(/ (sin y) y)

simplify2.1s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	3355
3	956
2	308
1	113
0	61

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(/ (sin y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u`
3×	`pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

3 → 51

Calls

3 calls:

0.0ms	(log1p (/ (sin y) y))
0.0ms	(expm1 (log1p (/ (sin y) y)))
6.0ms	(/ (sin y) y)

series294.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(log1p (/ (sin y) y))
197.0ms	(expm1 (log1p (/ (sin y) y)))
30.0ms	(/ (sin y) y)

simplify1.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	1838
2	543
1	187
0	99

prune458.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (* (sin y) (/ 1 y)))
0.0b	(expm1 (log1p (* (sin y) (/ 1 y))))
0.2b	(* (sin y) (/ 1 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity` `add-exp-log`
11×	`times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp`
3×	`associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `1-exp` `pow-prod-down` `log1p-expm1` `associate-r/` `un-div-inv` `-commutative` `div-inv` `expm1-udef`

Counts

3 → 60

Calls

3 calls:

1.0ms	(log1p (* (sin y) (/ 1 y)))
0.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
28.0ms	(* (sin y) (/ 1 y))

series307.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(log1p (* (sin y) (/ 1 y)))
214.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
41.0ms	(* (sin y) (/ 1 y))

simplify2.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	2082
2	775
1	283
0	123

prune417.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ 1 (/ y (sin y))))
0.0b	(expm1 (log1p (/ 1 (/ y (sin y)))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`expm1-log1p-u` `pow1`
4×	`cbrt-undiv` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `associate-/r/` `pow-flip` `inv-pow` `expm1-udef`

Counts

4 → 129

Calls

4 calls:

0.0ms	(log1p (/ 1 (/ y (sin y))))
0.0ms	(expm1 (log1p (/ 1 (/ y (sin y)))))
8.0ms	(/ y (sin y))
17.0ms	(/ 1 (/ y (sin y)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(log1p (/ 1 (/ y (sin y))))
249.0ms	(expm1 (log1p (/ 1 (/ y (sin y)))))
54.0ms	(/ y (sin y))
46.0ms	(/ 1 (/ y (sin y)))

simplify2.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
3	4210
2	1246
1	469
0	202

prune655.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes307.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.0s	2983×	body	1280	valid
1.0s	8437×	body	80	valid
761.0ms	2498×	body	640	valid
419.0ms	1261×	body	320	valid
132.0ms	625×	body	160	valid