Details

sample134.0ms

Algorithm

intervals

Results

44.0ms	279×	body	160	nan
35.0ms	256×	body	80	valid
34.0ms	520×	body	80	nan

simplify1.2s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (fma x x -1)))
31.5b	(sqrt (fma x x -1))

rewrite10.0ms

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:

8.0ms	(+ x (sqrt (fma x x -1)))
2.0ms	(sqrt (fma x x -1))

series142.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(+ x (sqrt (fma x x -1)))
65.0ms	(sqrt (fma x x -1))

simplify840.0ms

Counts

40 → 40

Iterations

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

prune307.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma 2 x (/ -1/2 x)) (/ -1/8 (* (* x x) x)))
0.1b	(* (* x x) x)
0.7b	(/ -1/8 (* (* x x) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`pow-plus` `prod-exp` `pow-prod-up` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `cbrt-undiv` `fma-def` `times-frac` `div-exp` `associate-r` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`pow2` `pow-sqr`
1×	`+-commutative` `associate-+l+` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3-+` `associate-l` `pow3` `-commutative` `flip-+` `fma-udef` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

24.0ms	(+ (fma 2 x (/ -1/2 x)) (/ -1/8 (* (* x x) x)))
20.0ms	(* (* x x) x)
19.0ms	(/ -1/8 (* (* x x) x))

series146.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (fma 2 x (/ -1/2 x)) (/ -1/8 (* (* x x) x)))
39.0ms	(* (* x x) x)
54.0ms	(/ -1/8 (* (* x x) x))

simplify946.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2283
3	2283
2	963
1	269
0	109

prune682.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	16323×	body	80	nan
1.3s	7748×	body	160	nan
686.0ms	8000×	body	80	valid