Details

sample64.0ms

Algorithm

intervals

Results

24.0ms	267×	body	80	nan
19.0ms	256×	body	80	valid

simplify4.1s

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	431	19
5	850	19
6	1262	19
7	1608	19
8	1811	19
9	1817	19
done	1817	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 92

Calls

3 calls:

42.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
8.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
19.0ms	(* 3.0 (* v v))

series489.0ms

Counts

3 → 9

Calls

3 calls:

334.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
120.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
35.0ms	(* 3.0 (* v v))

simplify1.8s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	197	1585
1	510	1465
2	2399	1389
done	5001	1383

prune388.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.2b	(* 3.0 (* v v))
1.0b	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
10×	`cube-div` `add-sqr-sqrt` `sqrt-div`
8×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-div` `flip3--` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-exp` `sqrt-prod` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `associate-*l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `div-exp` `associate-r` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

15.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
36.0ms	(* 3.0 (* v v))
43.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.1s

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
219.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
30.0ms	(* 3.0 (* v v))
715.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify2.1s

Counts

105 → 105

Iterations

Useful iterations: 2 (642.0ms)

Iter	Nodes	Cost
0	227	1961
1	677	1743
2	3454	1571
done	5002	1571

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	20	22
done	20	22

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
950.0ms	8126×	body	80	nan