Details

sample853.0ms

Algorithm

intervals

Results

733.0ms

3661×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1795
2	379
1	90
0	31

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize134.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(sqrt PI)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
120×	`times-frac`
89×	`*-un-lft-identity` `add-cube-cbrt`
40×	`add-cbrt-cube` `add-exp-log`
39×	`swap-sqr` `associate-r` `associate-l`
26×	`pow1`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 214

Calls

4 calls:

33.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series94.0ms

Counts

4 → 10

Calls

4 calls:

30.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
28.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.4s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	1599
1	467
0	146

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize123.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(sqrt PI)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt`
90×	`times-frac`
69×	`add-cbrt-cube` `add-exp-log`
68×	`*-un-lft-identity` `add-cube-cbrt`
39×	`associate-r`
38×	`pow1`
27×	`associate-l`
26×	`swap-sqr` `prod-exp` `cbrt-unprod`
21×	`cbrt-undiv` `div-exp`
10×	`unswap-sqr`
9×	`div-inv`
8×	`pow-plus` `pow-prod-up`
7×	`frac-times` `associate-*l/`
5×	`pow-prod-down` `associate-*r/`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 209

Calls

4 calls:

70.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
29.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series115.0ms

Counts

4 → 10

Calls

4 calls:

50.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
37.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
27.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.7s

Counts

219 → 219

Iterations

Iter	Nodes
done	5000
2	2380
1	662
0	199

prune2.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.5b

localize141.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ (/ 1.0 (fabs x)) (fabs x)) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
1.0b	(sqrt PI)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

149×	`times-frac`
127×	`add-sqr-sqrt`
97×	`add-cbrt-cube` `add-exp-log`
96×	`*-un-lft-identity` `add-cube-cbrt`
69×	`associate-l`
35×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
27×	`associate-r`
26×	`swap-sqr`
24×	`pow1`
12×	`div-inv`
11×	`unswap-sqr`
7×	`frac-times` `associate-*r/`
5×	`pow-prod-down` `associate-*l/`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 241

Calls

4 calls:

24.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
31.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
54.0ms	(* (/ (/ 1.0 (fabs x)) (fabs x)) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
1.0ms	(sqrt PI)

series143.0ms

Counts

4 → 10

Calls

4 calls:

36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
39.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
68.0ms	(* (/ (/ 1.0 (fabs x)) (fabs x)) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
0.0ms	(sqrt PI)

simplify2.7s

Counts

251 → 251

Iterations

Iter	Nodes
done	5031
2	3527
1	947
0	281

prune2.4s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.3b

localize120.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(sqrt PI)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
120×	`times-frac`
89×	`*-un-lft-identity` `add-cube-cbrt`
40×	`add-cbrt-cube` `add-exp-log`
39×	`swap-sqr` `associate-r` `associate-l`
26×	`pow1`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 214

Calls

4 calls:

18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
27.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series145.0ms

Counts

4 → 10

Calls

4 calls:

49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
52.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
43.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

224 → 224

Iterations

Iter	Nodes
done	5001
2	1669
1	461
0	147

prune2.1s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 0.3b

regimes620.0ms

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	44
1	44
0	32

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.2s

15801×

body

valid