Details

sample113.0ms

Algorithm

intervals

Results

53.0ms	284×	body	80	nan
38.0ms	256×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2028
6	2028
5	1649
4	728
3	223
2	73
1	29
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1 (* 3 (* v v))))
0.0b	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.2b	(* 3 (* v v))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
22×	`times-frac` `add-cube-cbrt`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
12×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`

Counts

4 → 133

Calls

4 calls:

5.0ms	(sqrt (- 1 (* 3 (* v v))))
78.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
19.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
15.0ms	(* 3 (* v v))

series695.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (- 1 (* 3 (* v v))))
332.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
256.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
31.0ms	(* 3 (* v v))

simplify1.2s

Counts

145 → 145

Iterations

Iter	Nodes
done	2003
2	2003
1	802
0	271

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.2b	(* 3 (* v v))
0.2b	(* 3 (* v v))
1.0b	(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

rewrite762.0ms

Algorithm

rewrite-expression-head

Rules

1048×	`sqrt-div`
867×	`frac-times`
434×	`flip3--` `flip--`
307×	`associate-*r/`
306×	`associate-*l/`
143×	`pow1`
78×	`pow-prod-down`
60×	`sqrt-pow1`
45×	`add-sqr-sqrt`
32×	`associate-l`
25×	`*-un-lft-identity` `add-cube-cbrt`
22×	`times-frac`
21×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
17×	`pow-prod-up`
12×	`pow1/2` `associate-r`
11×	`pow-sqr`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`swap-sqr` `*-commutative` `insert-posit16` `add-log-exp`
1×	`pow2` `cbrt-undiv` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `div-exp` `div-inv`

Counts

4 → 483

Calls

4 calls:

41.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
24.0ms	(* 3 (* v v))
26.0ms	(* 3 (* v v))
631.0ms	(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

series638.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
52.0ms	(* 3 (* v v))
49.0ms	(* 3 (* v v))
331.0ms	(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

simplify1.8s

Counts

495 → 495

Iterations

Iter	Nodes
done	2003
2	2003
1	1437
0	904

prune9.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
1.2s	8068×	body	80	nan