Details

sample101.0ms

Algorithm

intervals

Results

43.0ms	267×	body	80	nan
39.0ms	256×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	2154
5	1442
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

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

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:

89.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
32.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
4.0ms	(sqrt (- 1 (* 3 (* v v))))
24.0ms	(* 3 (* v v))

series698.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
234.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
106.0ms	(sqrt (- 1 (* 3 (* v v))))
49.0ms	(* 3 (* v v))

simplify1.5s

Counts

145 → 145

Iterations

Iter	Nodes
2	2878
1	802
0	271

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

5.0ms	(sqrt (- 1 (* 3 (* v v))))
21.0ms	(* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))
54.0ms	(* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v))))
26.0ms	(* 3 (* v v))

series619.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (- 1 (* 3 (* v v))))
153.0ms	(* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))
364.0ms	(* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v))))
28.0ms	(* 3 (* v v))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
2	3016
1	832
0	285

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))
0.0b	(sqrt (- 1 (* v v)))
0.0b	(sqrt (- 1 (* v v)))
0.2b	(* 3 (* v v))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-div`
29×	`flip3--` `flip--`
28×	`frac-times`
19×	`pow1`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
12×	`*-un-lft-identity`
10×	`pow-prod-down`
9×	`associate-r` `add-cube-cbrt`
8×	`associate-*r/`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`sqrt-pow1` `pow1/2`
4×	`associate-l` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-unprod` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 109

Calls

4 calls:

97.0ms	(* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))
5.0ms	(sqrt (- 1 (* v v)))
5.0ms	(sqrt (- 1 (* v v)))
20.0ms	(* 3 (* v v))

series383.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))
66.0ms	(sqrt (- 1 (* v v)))
67.0ms	(sqrt (- 1 (* v v)))
43.0ms	(* 3 (* v v))

simplify2.6s

Counts

121 → 121

Iterations

Iter	Nodes
3	4679
2	1599
1	565
0	210

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	22
1	22
0	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	8120×	body	80	nan
1.1s	8000×	body	80	valid