Details

sample107.0ms

Algorithm

intervals

Results

41.0ms	274×	body	160	nan
26.0ms	537×	body	80	nan
16.0ms	256×	body	80	valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3499
7	1307
6	580
5	196
4	68
3	37
2	21
1	17
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (fma x x -1)))
28.5b	(sqrt (fma x x -1))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1` `fma-def` `sqrt-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

2 → 34

Calls

2 calls:

7.0ms	(+ x (sqrt (fma x x -1)))
2.0ms	(sqrt (fma x x -1))

series110.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ x (sqrt (fma x x -1)))
49.0ms	(sqrt (fma x x -1))

simplify2.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
4	4052
3	1250
2	461
1	172
0	73

prune212.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* x x))
0.7b	(/ -1/8 (* x (* x x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

17.0ms	(* x (* x x))
25.0ms	(/ -1/8 (* x (* x x)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (* x x))
57.0ms	(/ -1/8 (* x (* x x)))

simplify1.7s

Counts

59 → 59

Iterations

Iter	Nodes
done	5003
3	1907
2	468
1	156
0	76

prune227.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.3s	16880×	body	80	nan
907.0ms	7913×	body	160	nan
698.0ms	8000×	body	80	valid