Details

sample1.5s

Algorithm

intervals

Results

1.4s

3623×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
4	2009
3	1493
2	392
1	95
0	31

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize98.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0b	(sqrt PI)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

162×	`add-sqr-sqrt`
144×	`times-frac`
124×	`add-exp-log`
113×	`*-un-lft-identity`
89×	`add-cube-cbrt`
50×	`pow1`
48×	`div-exp` `prod-exp`
45×	`swap-sqr`
40×	`add-cbrt-cube`
39×	`associate-r` `associate-l`
27×	`unswap-sqr`
24×	`rec-exp` `1-exp` `pow-flip` `inv-pow`
18×	`div-inv`
15×	`pow-prod-up`
12×	`cbrt-undiv` `cbrt-unprod`
9×	`pow-prod-down` `pow-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 302

Calls

4 calls:

20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series71.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
26.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
21.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify1.4s

Counts

312 → 312

Iterations

Iter	Nodes
done	2000
3	2000
2	1064
1	476
0	164

prune7.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
0.3b	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.5b	(* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0b	(sqrt PI)

rewrite828.0ms

Algorithm

rewrite-expression-head

Rules

6953×	`add-exp-log`
4505×	`prod-exp`
2392×	`div-exp`
1196×	`rec-exp` `1-exp`
552×	`pow1`
551×	`add-cbrt-cube`
412×	`pow-flip`
382×	`pow-prod-up`
287×	`cbrt-unprod`
168×	`cbrt-undiv`
127×	`inv-pow`
110×	`pow-prod-down`
78×	`pow-sqr`
66×	`pow-plus`
57×	`pow2`
38×	`frac-times`
35×	`associate-*r/`
20×	`associate-*l/`
14×	`*-un-lft-identity` `un-div-inv`
11×	`associate-l`
9×	`add-sqr-sqrt` `times-frac`
8×	`add-cube-cbrt`
6×	`pow3`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr` `div-inv`

Counts

4 → 1605

Calls

4 calls:

400.0ms	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
122.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
178.0ms	(* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0ms	(sqrt PI)

series230.0ms

Counts

4 → 10

Calls

4 calls:

77.0ms	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
75.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
78.0ms	(* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.0ms	(sqrt PI)

simplify17.6s

Counts

1615 → 1615

Iterations

Iter	Nodes
done	2001
1	2001
0	1618

prune29.8s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.3b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
0.3b	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
0.3b	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0b	(sqrt PI)

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

2164×	`add-exp-log`
1384×	`prod-exp`
682×	`div-exp`
341×	`rec-exp` `1-exp`
264×	`add-cbrt-cube`
152×	`pow1`
134×	`cbrt-unprod`
108×	`pow-flip`
90×	`pow-prod-up`
77×	`cbrt-undiv`
36×	`add-sqr-sqrt`
28×	`times-frac` `pow-prod-down`
25×	`inv-pow`
24×	`*-un-lft-identity`
22×	`associate-*r/`
18×	`pow2` `pow-plus` `pow-sqr`
17×	`associate-l` `add-cube-cbrt`
15×	`associate-r`
13×	`frac-times`
9×	`unswap-sqr`
7×	`associate-*l/`
5×	`un-div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 643

Calls

4 calls:

44.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
373.0ms	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
109.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0ms	(sqrt PI)

series180.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
58.0ms	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
82.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.0ms	(sqrt PI)

simplify5.9s

Counts

653 → 653

Iterations

Iter	Nodes
done	2014
2	2014
1	1583
0	695

prune13.7s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.2b

localize459.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
0.3b	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

2081×	`add-exp-log`
1344×	`prod-exp`
652×	`div-exp`
326×	`rec-exp` `1-exp`
243×	`add-cbrt-cube`
132×	`pow1`
126×	`cbrt-unprod`
92×	`pow-flip`
80×	`pow-prod-up`
70×	`cbrt-undiv`
23×	`pow-prod-down`
21×	`associate-*r/`
19×	`inv-pow`
16×	`pow2` `pow-plus` `pow-sqr`
12×	`frac-times`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-*l/` `sqrt-prod`
4×	`un-div-inv` `insert-posit16` `add-log-exp`
3×	`times-frac`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`
1×	`div-inv`

Counts

4 → 568

Calls

4 calls:

283.0ms	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
101.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series118.0ms

Counts

4 → 8

Calls

4 calls:

49.0ms	(* 3/4 (* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))))
69.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify5.1s

Counts

576 → 576

Iterations

Iter	Nodes
done	2001
2	2001
1	1376
0	632

prune12.4s

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 0.2b

regimes495.0ms

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	55
2	55
1	54
0	30

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.4s

9605×

body

valid