Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	238×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	192	19
4	400	19
5	753	19
6	1058	19
7	1202	19
8	1312	19
9	1318	19
done	1318	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `add-cbrt-cube`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 125

Calls

3 calls:

63.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
30.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
21.0ms	(* 3.0 (* v v))

series552.0ms

Counts

3 → 9

Calls

3 calls:

317.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
204.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify1.4s

Counts

134 → 134

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	280	3160
1	803	2904
2	3004	2692
done	5001	2684

prune388.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (fma (- v) v 1.0))
0.1b	(* 3.0 (* v v))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `sqrt-div` `associate-l/` `-commutative` `fma-udef` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`

Counts

2 → 49

Calls

2 calls:

18.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (fma (- v) v 1.0))
16.0ms	(* 3.0 (* v v))

series217.0ms

Counts

2 → 6

Calls

2 calls:

184.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (fma (- v) v 1.0))
33.0ms	(* 3.0 (* v v))

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	128	843
1	308	786
2	1016	732
3	3803	731
done	5000	731

prune140.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	18	19
done	18	19

end0.0ms

sample773.0ms

Algorithm

intervals

Results

275.0ms	7918×	body	80	nan
267.0ms	8000×	body	80	valid