Details

sample793.0ms

Algorithm

intervals

Results

691.0ms

3389×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize123.0ms

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)

rewrite76.0ms

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:

21.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series101.0ms

Counts

4 → 10

Calls

4 calls:

29.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
26.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
46.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.5s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	1599
1	467
0	146

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize179.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* (/ 1.0 (fabs x)) (/ 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)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-cbrt-cube` `add-exp-log`
93×	`add-sqr-sqrt`
89×	`times-frac`
68×	`*-un-lft-identity` `add-cube-cbrt`
66×	`prod-exp` `cbrt-unprod`
65×	`pow1`
45×	`cbrt-undiv` `div-exp`
39×	`associate-r`
27×	`associate-l`
26×	`swap-sqr`
23×	`pow-plus` `pow-prod-up`
19×	`frac-times` `associate-*l/`
9×	`associate-*r/` `div-inv`
8×	`pow-prod-down` `unswap-sqr`
6×	`pow2` `pow-sqr`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 249

Calls

4 calls:

192.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
30.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
35.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series123.0ms

Counts

4 → 10

Calls

4 calls:

55.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
28.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
40.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify3.1s

Counts

259 → 259

Iterations

Iter	Nodes
done	5057
2	3180
1	927
0	265

prune1.9s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.5b

localize155.0ms

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-cbrt-cube` `add-exp-log`
130×	`pow1`
86×	`add-sqr-sqrt`
80×	`times-frac`
73×	`prod-exp` `cbrt-unprod`
61×	`*-un-lft-identity` `add-cube-cbrt`
48×	`cbrt-undiv` `div-exp`
38×	`pow-prod-up`
27×	`swap-sqr` `associate-r` `associate-l`
25×	`pow-prod-down`
24×	`pow-sqr`
20×	`pow-plus`
19×	`frac-times`
15×	`pow2`
13×	`associate-l/` `associate-r/`
9×	`unswap-sqr`
8×	`div-inv`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 267

Calls

4 calls:

19.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
26.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
65.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
1.0ms	(sqrt PI)

series129.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
38.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
53.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
0.0ms	(sqrt PI)

simplify2.8s

Counts

277 → 277

Iterations

Iter	Nodes
done	5002
2	2507
1	740
0	237

prune2.1s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 0.3b

localize173.0ms

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-cbrt-cube` `add-exp-log`
130×	`pow1`
86×	`add-sqr-sqrt`
80×	`times-frac`
73×	`prod-exp` `cbrt-unprod`
61×	`*-un-lft-identity` `add-cube-cbrt`
48×	`cbrt-undiv` `div-exp`
38×	`pow-prod-up`
27×	`swap-sqr` `associate-r` `associate-l`
25×	`pow-prod-down`
24×	`pow-sqr`
20×	`pow-plus`
19×	`frac-times`
15×	`pow2`
13×	`associate-l/` `associate-r/`
9×	`unswap-sqr`
8×	`div-inv`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 267

Calls

4 calls:

19.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
35.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
77.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
2.0ms	(sqrt PI)

series163.0ms

Counts

4 → 10

Calls

4 calls:

54.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
45.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
64.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
0.0ms	(sqrt PI)

simplify2.7s

Counts

277 → 277

Iterations

Iter	Nodes
done	5001
2	2521
1	742
0	238

prune1.8s

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 0.3b

regimes642.0ms

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	47
1	47
0	35

end0.0ms

sample4.5s

Algorithm

intervals

Results

4.2s

17617×

body

valid