Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	173×	body	80	valid
7.0ms	24×	body	1280	valid
5.0ms	28×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	9×	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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

13.0ms	(/ (sin y) y)
34.0ms	(* x (/ (sin y) y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (sin y) y)
79.0ms	(* x (/ (sin y) y))

simplify541.0ms

Counts

69 → 69

Iterations

Useful iterations: done (539.0ms)

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

prune157.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

35.0ms	(* x (* (sin y) (/ 1 y)))
18.0ms	(* (sin y) (/ 1 y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (* (sin y) (/ 1 y)))
27.0ms	(* (sin y) (/ 1 y))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	117	685
1	298	621
2	1560	434
done	5000	432

prune167.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

40.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series749.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
153.0ms	(cbrt (/ (sin y) y))
169.0ms	(cbrt (/ (sin y) y))
185.0ms	(cbrt (/ (sin y) y))

simplify1.2s

Counts

164 → 164

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	171	2261
1	333	2130
2	1377	2051
done	5000	1993

prune642.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series829.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (sin y))
278.0ms	(cbrt y)
232.0ms	(cbrt y)
207.0ms	(cbrt y)

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: 4 (409.0ms)

Iter	Nodes	Cost
0	53	313
1	102	294
2	267	267
3	830	255
4	2547	254
done	5002	254

prune350.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

637.0ms	5209×	body	80	valid
354.0ms	1017×	body	640	valid
318.0ms	943×	body	1280	valid
86.0ms	530×	body	320	valid
66.0ms	301×	body	160	valid