Details

sample52.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
16.0ms	248×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	193	19
4	432	19
5	856	19
6	1282	19
7	1645	19
8	1842	19
9	1870	19
10	1906	19
done	1906	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube` `add-exp-log`
16×	`frac-times`
14×	`pow1` `sqrt-div`
13×	`flip3--` `flip--`
11×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l/` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod`
6×	`prod-diff` `pow-prod-down`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`associate-l`
3×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
53.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
15.0ms	(* 3.0 (* v v))

series654.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
484.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
45.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

97 → 97

Iterations

Useful iterations: 2 (788.0ms)

Iter	Nodes	Cost
0	248	2361
1	791	2154
2	4510	1964
done	5000	1964

prune536.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(expm1 (log1p (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
16×	`frac-times`
15×	`pow1`
14×	`sqrt-div`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
6×	`prod-diff` `pow-prod-down`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`sub-neg` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `div-exp` `expm1-udef` `difference-of-squares` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
95.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0ms	(expm1 (log1p (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

series2.0s

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
413.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
1.4s	(expm1 (log1p (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
33.0ms	(* 3.0 (* v v))

simplify593.0ms

Counts

111 → 111

Iterations

Useful iterations: done (587.0ms)

Iter	Nodes	Cost
0	333	3053
1	1066	2795
done	5000	2546

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	17	19
done	17	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

845.0ms	7888×	body	80	nan
713.0ms	8000×	body	80	valid