Details

sample92.0ms

Algorithm

intervals

Results

39.0ms	247×	body	80	nan
33.0ms	256×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
6	2589
5	1659
4	778
3	233
2	71
1	27
0	14

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`times-frac`
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`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`

Counts

4 → 147

Calls

4 calls:

82.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
19.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
6.0ms	(sqrt (- 1 (* 3 (* v v))))
27.0ms	(* 3 (* v v))

series682.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
232.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
82.0ms	(sqrt (- 1 (* 3 (* v v))))
34.0ms	(* 3 (* v v))

simplify1.6s

Counts

159 → 159

Iterations

Iter	Nodes
2	3022
1	872
0	294

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize56.0ms

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))))))

rewrite197.0ms

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×	`expm1-log1p-u` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 148

Calls

4 calls:

14.0ms	(* 3 (* v v))
18.0ms	(* 3 (* v v))
26.0ms	(* 3 (* v v))
136.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 3 (* v v))
46.0ms	(* 3 (* v v))
33.0ms	(* 3 (* v v))
263.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

simplify7.4s

Counts

160 → 160

Iterations

Iter	Nodes
3	7247
2	1511
1	511
0	181

prune2.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify7.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.3s	7984×	body	80	nan