Details

sample68.0ms

Algorithm

intervals

Results

22.0ms	270×	body	80	nan
20.0ms	256×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	180	19
4	356	19
5	657	19
6	935	19
7	1052	19
8	1133	19
done	1133	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

99.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
56.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
36.0ms	(* 3.0 (* v v))

series962.0ms

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
125.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
357.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify2.1s

Counts

140 → 140

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	278	3102
1	796	2836
2	2962	2648
done	5002	2638

prune558.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `associate-l`
28×	`add-exp-log` `add-cbrt-cube`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`times-frac`
17×	`sqrt-prod`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-r`
10×	`pow-prod-down`
8×	`associate-*r/`
6×	`cbrt-div` `sqrt-div`
5×	`unswap-sqr`
4×	`cbrt-prod` `*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `div-exp`
1×	`associate-*l/` `div-inv`

Counts

4 → 112

Calls

4 calls:

47.0ms	(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
76.0ms	(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
21.0ms	(* 3.0 (* v v))
35.0ms	(* 3.0 (* v v))

series1.0s

Counts

4 → 12

Calls

4 calls:

456.0ms	(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
514.0ms	(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
27.0ms	(* 3.0 (* v v))
30.0ms	(* 3.0 (* v v))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: 2 (568.0ms)

Iter	Nodes	Cost
0	289	3177
1	742	2972
2	2840	2699
done	5000	2699

prune521.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	30
1	21	30
done	21	30

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
749.0ms	7862×	body	80	nan