Details

sample52.0ms

Algorithm

intervals

Results

23.0ms	277×	body	80	nan
12.0ms	256×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1176
10	1176
9	1169
8	1023
7	838
6	699
5	568
4	353
3	177
2	70
1	27
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`sqrt-prod`
12×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div` `pow-prod-down`
2×	`frac-times` `flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

2 → 71

Calls

2 calls:

45.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

series285.0ms

Counts

2 → 6

Calls

2 calls:

257.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1425
1	440
0	171

prune429.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
161×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
30×	`associate-/r*`
17×	`associate-/r/`
16×	`sqrt-div`
15×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv` `associate-/l*`
8×	`pow1` `flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

3 → 249

Calls

3 calls:

33.0ms	(/ (sqrt 2.0) (/ 4.0 (sqrt (- 1.0 (* 3.0 (* v v))))))
16.0ms	(/ 4.0 (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms	(* 3.0 (* v v))

series504.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(/ (sqrt 2.0) (/ 4.0 (sqrt (- 1.0 (* 3.0 (* v v))))))
235.0ms	(/ 4.0 (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms	(* 3.0 (* v v))

simplify2.3s

Counts

258 → 258

Iterations

Iter	Nodes
done	5001
2	2859
1	1052
0	408

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
728.0ms	8020×	body	80	nan