Details

sample29.0ms

Algorithm

intervals

Results

6.0ms	42×	body	640	valid
6.0ms	160×	body	80	valid
5.0ms	23×	body	1280	valid
2.0ms	22×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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)

rewrite24.0ms

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:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series85.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify31.0ms

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302
done	5001	302

prune129.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify34.0ms

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302
done	5001	302

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))

rewrite42.0ms

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:

29.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series586.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
136.0ms	(cbrt (/ (sin y) y))
141.0ms	(cbrt (/ (sin y) y))
135.0ms	(cbrt (/ (sin y) y))

simplify41.0ms

Counts

164 → 164

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	302	1455
1	1021	1402
2	5001	1328
done	5001	1328

prune438.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.6b	(cbrt y)
0.6b	(cbrt (sin y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `div-inv`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt y)
1.0ms	(cbrt (sin y))

series561.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (/ (sin y) y))
146.0ms	(cbrt (/ (sin y) y))
181.0ms	(cbrt y)
98.0ms	(cbrt (sin y))

simplify73.0ms

Counts

86 → 86

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	210	486
1	563	464
2	2323	448
3	5001	432
done	5001	432

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes99.0ms

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	10	3
1	10	3
done	10	3

end0.0ms

sample847.0ms

Algorithm

intervals

Results

227.0ms	936×	body	1280	valid
181.0ms	5157×	body	80	valid
154.0ms	1033×	body	640	valid
62.0ms	598×	body	320	valid
26.0ms	276×	body	160	valid