Details

sample324.0ms

Algorithm

intervals

Results

260.0ms

3276×

body

valid

simplify672.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	31	103
1	90	103
2	366	66
3	1832	54
done	5001	54

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b	(pow (/ 1.0 (fabs x)) 3)
1.0b	(sqrt PI)
1.2b	(pow (/ 1.0 (fabs x)) 6)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
67×	`times-frac`
56×	`add-cube-cbrt` `*-un-lft-identity`
26×	`unpow-prod-down`
22×	`add-exp-log`
19×	`add-cbrt-cube`
14×	`pow1`
13×	`cube-prod` `swap-sqr` `associate-r` `associate-l`
7×	`div-inv`
6×	`pow-unpow` `div-exp`
5×	`cbrt-undiv`
4×	`pow-exp` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`pow-to-exp` `pow-pow` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 154

Calls

4 calls:

13.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms	(pow (/ 1.0 (fabs x)) 3)
1.0ms	(sqrt PI)
4.0ms	(pow (/ 1.0 (fabs x)) 6)

series111.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
33.0ms	(pow (/ 1.0 (fabs x)) 3)
0.0ms	(sqrt PI)
54.0ms	(pow (/ 1.0 (fabs x)) 6)

simplify1.4s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	230	2063
1	692	1733
2	3219	1502
done	5001	1487

prune694.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) 1) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b	(pow (/ 1.0 (fabs x)) 3)
1.0b	(sqrt PI)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
68×	`times-frac`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
26×	`associate-r`
24×	`add-exp-log` `add-cbrt-cube`
17×	`associate-l`
15×	`pow1`
13×	`unpow-prod-down` `cube-prod` `swap-sqr`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-times` `pow-unpow` `associate-*l/` `sqrt-prod`
2×	`flip3-+` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `flip-+` `rem-cube-cbrt`
1×	`cube-div` `pow2` `cube-mult` `pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow-plus` `pow1/2` `unpow3` `pow-sqr` `pow-prod-up` `distribute-lft-out` `sqr-pow`

Counts

4 → 163

Calls

4 calls:

41.0ms	(* (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) 1) (/ 1.0 (fabs x)))
13.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms	(pow (/ 1.0 (fabs x)) 3)
1.0ms	(sqrt PI)

series168.0ms

Counts

4 → 10

Calls

4 calls:

107.0ms	(* (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) 1) (/ 1.0 (fabs x)))
27.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms	(pow (/ 1.0 (fabs x)) 3)
0.0ms	(sqrt PI)

simplify253.0ms

Iterations

Useful iterations: 1 (59.0ms)

Iter	Nodes	Cost
0	230	2615
1	726	2267