Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
20.0ms	247×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	2299
5	1497
4	711
3	221
2	71
1	27
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite111.0ms

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:

64.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
24.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
4.0ms	(sqrt (- 1 (* 3 (* v v))))
16.0ms	(* 3 (* v v))

series679.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
210.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
84.0ms	(sqrt (- 1 (* 3 (* v v))))
41.0ms	(* 3 (* v v))

simplify1.5s

Counts

145 → 145

Iterations

Iter	Nodes
2	2896
1	801
0	271

prune1.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
55×	`add-cbrt-cube` `add-exp-log`
49×	`frac-times`
48×	`sqrt-div`
30×	`prod-exp` `cbrt-unprod`
29×	`associate-*r/`
26×	`pow-prod-down`
24×	`flip3--` `flip--`
17×	`associate-*l/`
10×	`add-sqr-sqrt` `associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-undiv` `div-exp`
4×	`associate-r` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 140

Calls

4 calls:

24.0ms	(* 3 (* v v))
26.0ms	(* 3 (* v v))
26.0ms	(* 3 (* v v))
75.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 3 (* v v))
41.0ms	(* 3 (* v v))
29.0ms	(* 3 (* v v))
273.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

simplify4.6s

Counts

152 → 152

Iterations

Iter	Nodes
3	6110
2	1496
1	517
0	177

prune2.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
1.2s	7984×	body	80	nan