Details

sample1.3s

Algorithm

intervals

Results

1.2s

3866×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	1794
2	379
1	90
0	31

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize190.0ms

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)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
120×	`times-frac`
89×	`add-cube-cbrt` `*-un-lft-identity`
40×	`add-exp-log` `add-cbrt-cube`
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` `associate-r/` `pow-prod-down` `associate-l/` `sqrt-prod` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 214

Calls

4 calls:

47.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
43.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
3.0ms	(sqrt PI)

series203.0ms

Counts

4 → 10

Calls

4 calls:

111.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
46.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
46.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify4.2s

Counts

224 → 224

Iterations

Iter	Nodes
done	5001
2	1598
1	467
0	146

prune3.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize222.0ms

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)

rewrite476.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-exp-log` `add-cbrt-cube`
93×	`add-sqr-sqrt`
89×	`times-frac`
68×	`add-cube-cbrt` `*-un-lft-identity`
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×	`sqrt-prod` `*-commutative`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 249

Calls

4 calls:

342.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
47.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
53.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series184.0ms

Counts

4 → 10

Calls

4 calls:

83.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
52.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify5.4s

Counts

259 → 259

Iterations

Iter	Nodes
done	5020
2	3282
1	925
0	265

prune3.4s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.4b

localize275.0ms

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)

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-exp-log` `add-cbrt-cube`
93×	`add-sqr-sqrt`
89×	`times-frac`
68×	`add-cube-cbrt` `*-un-lft-identity`
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×	`sqrt-prod` `*-commutative`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 249

Calls

4 calls:

342.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
47.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
9.0ms	(sqrt PI)

series191.0ms

Counts

4 → 10

Calls

4 calls:

79.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
60.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
51.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify6.2s

Counts

259 → 259

Iterations

Iter	Nodes
done	5002
2	3270
1	931
0	266

prune3.7s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.4b

localize280.0ms

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

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 200

Calls

4 calls:

48.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
115.0ms	(* (/ 1.0 (fabs x)) (* (/ 1.0 (sqrt (fabs x))) (/ 1.0 (sqrt (fabs x)))))
2.0ms	(sqrt PI)

series167.0ms

Counts

4 → 10

Calls

4 calls:

56.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
53.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
58.0ms	(* (/ 1.0 (fabs x)) (* (/ 1.0 (sqrt (fabs x))) (/ 1.0 (sqrt (fabs x)))))
0.0ms	(sqrt PI)

simplify4.4s

Counts

210 → 210

Iterations

Iter	Nodes
done	5113
2	2740
1	707
0	217

prune3.1s

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 0.3b

regimes1.1s

bsearch0.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	43
1	43
0	32

end0.0ms

sample16.9s

Algorithm

intervals

Results

15.7s

44927×

body

valid