Details

sample112.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
30.0ms	238×	body	160	nan
30.0ms	527×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
8	2004
7	1307
6	580
5	196
4	68
3	37
2	21
1	17
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (fma x x -1)))
33.6b	(sqrt (fma x x -1))

rewrite12.0ms

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:

9.0ms	(+ x (sqrt (fma x x -1)))
2.0ms	(sqrt (fma x x -1))

series161.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(+ x (sqrt (fma x x -1)))
53.0ms	(sqrt (fma x x -1))

simplify1.0s

Counts

40 → 40

Iterations

Iter	Nodes
done	2003
4	2003
3	1250
2	461
1	172
0	73

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) x)
0.3b	(/ -1/8 (* (* x x) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `prod-exp` `pow-prod-up` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/l*`
2×	`pow2` `expm1-log1p-u` `pow-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `pow3` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

23.0ms	(* (* x x) x)
16.0ms	(/ -1/8 (* (* x x) x))

series108.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (* x x) x)
52.0ms	(/ -1/8 (* (* x x) x))

simplify1.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	2000
3	2000
2	485
1	167
0	74

prune179.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.6s	7860×	body	160	nan
1.2s	16475×	body	80	nan
739.0ms	8000×	body	80	valid