Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	35×	body	1280	valid
10.0ms	153×	body	80	valid
9.0ms	32×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify25.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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

Counts

2 → 59

Calls

2 calls:

25.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series89.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify1.5s

Counts: 65 → 65

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series632.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt y) (cbrt y))
107.0ms	(cbrt (sin y))
116.0ms	(cbrt (sin y))
112.0ms	(cbrt (sin y))

simplify1.1s

Counts: 85 → 85

prune215.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (cbrt y) (cbrt y))

series1.0s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt y)
208.0ms	(cbrt y)
267.0ms	(cbrt y)
303.0ms	(* (cbrt y) (cbrt y))

simplify792.0ms

Counts: 85 → 85

prune245.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.2b	(/ (* x (sin y)) y)

rewrite38.0ms

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

Counts

2 → 39

Calls

2 calls:

15.0ms	(* x (sin y))
21.0ms	(/ (* x (sin y)) y)

series153.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* x (sin y))
83.0ms	(/ (* x (sin y)) y)

simplify411.0ms

Counts: 45 → 45

prune122.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

825.0ms	5216×	body	80	valid
432.0ms	936×	body	1280	valid
232.0ms	932×	body	640	valid
181.0ms	611×	body	320	valid
37.0ms	305×	body	160	valid