Details

sample123.0ms

Algorithm

intervals

Results

42.0ms	96×	body	1280	valid
24.0ms	83×	body	640	valid
19.0ms	297×	body	80	valid
8.0ms	42×	body	320	valid
3.0ms	20×	body	160	valid

simplify91.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

41.0ms	(* (cos x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series387.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(* (cos x) (/ (sinh y) y))
133.0ms	(/ (sinh y) y)
104.0ms	(sinh y)

simplify92.0ms

Counts: 77 → 77

prune247.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(sinh y)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
60×	`add-sqr-sqrt`
42×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`unswap-sqr`
6×	`add-exp-log` `pow1/3`
4×	`cbrt-div` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`sinh-def`
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 → 102

Calls

4 calls:

50.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
3.0ms	(sinh y)
2.0ms	(sinh y)
3.0ms	(sinh y)

series582.0ms

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
89.0ms	(sinh y)
80.0ms	(sinh y)
81.0ms	(sinh y)

simplify56.0ms

Counts: 114 → 114

prune493.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(sinh y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `sinh-def` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 72

Calls

4 calls:

7.0ms	(/ (sinh y) y)
12.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
1.0ms	(sinh y)

series365.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ (sinh y) y)
106.0ms	(/ (sinh y) y)
72.0ms	(sinh y)
80.0ms	(sinh y)

simplify46.0ms

Counts: 84 → 84

prune349.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

-211.3% (0.1b remaining)

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

bsearch0.0ms

simplify111.0ms

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.1s	3025×	body	1280	valid
795.0ms	8568×	body	80	valid
663.0ms	2447×	body	640	valid
292.0ms	1276×	body	320	valid
81.0ms	648×	body	160	valid