Details

sample1.7s

Algorithm

intervals

Results

1.6s

3412×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize130.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.6b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.6b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0b	(sqrt PI)

rewrite89.0ms

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:

27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series79.0ms

Counts

4 → 10

Calls

4 calls:

34.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
24.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
20.0ms	(* (/ 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

prune2.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize93.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* 15/8 (* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)))
0.4b	(* (/ 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)

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

32891×	`add-exp-log`
23115×	`prod-exp`
10712×	`div-exp`
5356×	`rec-exp` `1-exp`
1293×	`add-cbrt-cube`
737×	`cbrt-unprod`
568×	`pow1`
412×	`pow-flip`
382×	`pow-prod-up`
380×	`cbrt-undiv`
127×	`inv-pow`
123×	`pow-prod-down`
108×	`frac-times`
97×	`associate-*r/`
78×	`pow-sqr`
69×	`associate-*l/`
66×	`pow-plus`
57×	`pow2`
33×	`un-div-inv`
20×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-sqr-sqrt` `associate-r`
14×	`add-cube-cbrt`
9×	`associate-l`
6×	`pow3`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr`

Counts

4 → 4907

Calls

4 calls:

2.3s	(* (* 15/8 (* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)))
123.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
215.0ms	(* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
2.0ms	(sqrt PI)

series214.0ms

Counts

4 → 10

Calls

4 calls:

81.0ms	(* (* 15/8 (* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)))
72.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
62.0ms	(* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.0ms	(sqrt PI)

simplify7.9s

Counts

4917 → 4917

Iterations

Iter	Nodes
done	5857
0	5857

prune57.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

localize80.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
0.3b	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
0.4b	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0b	(sqrt PI)

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

1106×	`add-exp-log`
650×	`prod-exp`
386×	`div-exp`
193×	`rec-exp` `1-exp`
164×	`pow1`
154×	`add-cbrt-cube`
124×	`pow-flip`
100×	`pow-prod-up`
68×	`cbrt-unprod`
62×	`add-sqr-sqrt`
53×	`times-frac`
49×	`cbrt-undiv`
39×	`*-un-lft-identity`
31×	`inv-pow`
27×	`associate-r` `pow-prod-down`
25×	`add-cube-cbrt`
21×	`associate-l`
20×	`pow2` `pow-plus` `pow-sqr`
18×	`unswap-sqr`
8×	`frac-times` `associate-*r/`
5×	`associate-*l/` `div-inv`
4×	`un-div-inv` `insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 481

Calls

4 calls:

45.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
44.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
170.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
2.0ms	(sqrt PI)

series185.0ms

Counts

4 → 10

Calls

4 calls:

50.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
67.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
67.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.0ms	(sqrt PI)

simplify1.5s

Counts

491 → 491

Iterations

Iter	Nodes
done	2157
3	2157
2	1687
1	926
0	430

prune1.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
0.4b	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

1023×	`add-exp-log`
610×	`prod-exp`
356×	`div-exp`
178×	`rec-exp` `1-exp`
144×	`pow1`
133×	`add-cbrt-cube`
108×	`pow-flip`
90×	`pow-prod-up`
60×	`cbrt-unprod`
42×	`cbrt-undiv`
37×	`add-sqr-sqrt`
28×	`times-frac`
25×	`inv-pow`
24×	`*-un-lft-identity`
22×	`pow-prod-down`
18×	`pow2` `pow-plus` `pow-sqr`
17×	`add-cube-cbrt`
14×	`associate-r` `associate-l`
9×	`unswap-sqr`
7×	`frac-times` `associate-*r/`
6×	`sqrt-prod`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`un-div-inv` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative`
1×	`pow3`

Counts

4 → 406

Calls

4 calls:

57.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
170.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series108.0ms

Counts

4 → 8

Calls

4 calls:

60.0ms	(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x)))
48.0ms	(* (/ 1 (* (fabs x) (fabs x))) (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (fabs x))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify1.4s

Counts

414 → 414

Iterations

Iter	Nodes
done	2196
3	2196
2	1661
1	918
0	426

prune956.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

regimes384.0ms

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample10.4s

Algorithm

intervals

Results

10.0s

23668×

body

valid