Details

sample1.2s

Algorithm

intervals

Results

1.1s

3248×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	8828
3	1935
2	407
1	93
0	31

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize86.0ms

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)

rewrite54.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 310

Calls

4 calls:

19.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	(sqrt PI)

series63.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
19.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
19.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

320 → 320

Iterations

Iter	Nodes
3	2605
2	954
1	444
0	160

prune5.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize66.0ms

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)

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 310

Calls

4 calls:

20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
34.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	(sqrt PI)

series80.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
36.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
24.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify2.4s

Counts

320 → 320

Iterations

Iter	Nodes
3	2643
2	966
1	446
0	162

prune6.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.2b

localize70.0ms

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)

rewrite73.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 310

Calls

4 calls:

14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
22.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series74.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
25.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
30.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify2.2s

Counts

320 → 320

Iterations

Iter	Nodes
3	2553
2	971
1	450
0	163

prune6.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (pow (fabs x) -2) 15/8) (* (/ 1 (fabs x)) (pow (fabs x) -2)))
0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0b	(sqrt PI)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

258×	`add-exp-log`
171×	`prod-exp`
110×	`add-sqr-sqrt`
96×	`times-frac`
77×	`*-un-lft-identity`
61×	`add-cube-cbrt`
56×	`div-exp`
49×	`add-cbrt-cube`
37×	`pow1`
30×	`swap-sqr`
29×	`pow-to-exp` `pow-exp`
28×	`rec-exp` `1-exp`
27×	`associate-r` `associate-l`
21×	`cbrt-unprod`
18×	`unswap-sqr`
16×	`pow-flip` `inv-pow`
12×	`div-inv`
10×	`cbrt-undiv` `pow-prod-up`
7×	`pow-prod-down`
6×	`pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l/` `associate-r/` `*-commutative` `sqrt-prod`
2×	`pow2` `frac-times` `pow-plus` `un-div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 285

Calls

4 calls:

36.0ms	(* (* (pow (fabs x) -2) 15/8) (* (/ 1 (fabs x)) (pow (fabs x) -2)))
18.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	(sqrt PI)

series127.0ms

Counts

4 → 10

Calls

4 calls:

54.0ms	(* (* (pow (fabs x) -2) 15/8) (* (/ 1 (fabs x)) (pow (fabs x) -2)))
32.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
40.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify6.5s

Counts

295 → 295

Iterations

Iter	Nodes
3	5802
2	1715
1	705
0	240

prune5.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

regimes627.0ms

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	24
1	24
0	22

end0.0ms

sample14.4s

Algorithm

intervals

Results

13.8s

34725×

body

valid