Details

sample1.3s

Algorithm

intervals

Results

1.2s

3208×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1728
2	421
1	95
0	31

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize111.0ms

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)

rewrite105.0ms

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:

33.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
29.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
29.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series104.0ms

Counts

4 → 10

Calls

4 calls:

36.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
33.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
35.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify4.6s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
3	4343
2	1336
1	490
0	168

prune2.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

localize128.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* (pow (fabs x) -2) (/ 1 (fabs x))) (/ 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)

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

997×	`add-exp-log`
644×	`prod-exp`
338×	`div-exp`
169×	`rec-exp` `1-exp`
117×	`add-sqr-sqrt`
105×	`times-frac`
93×	`add-cbrt-cube`
84×	`*-un-lft-identity`
68×	`add-cube-cbrt`
64×	`pow-to-exp` `pow-exp`
52×	`pow1`
42×	`cbrt-unprod`
39×	`associate-r`
34×	`pow-prod-up`
30×	`swap-sqr`
28×	`pow-flip` `inv-pow`
27×	`associate-l`
25×	`cbrt-undiv`
18×	`unswap-sqr`
13×	`div-inv`
12×	`frac-times` `associate-*l/`
9×	`pow-prod-down` `associate-*r/` `un-div-inv`
6×	`pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `pow-plus`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 487

Calls

4 calls:

117.0ms	(* (* (* (pow (fabs x) -2) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
24.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series136.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(* (* (* (pow (fabs x) -2) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
44.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
33.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify4.3s

Counts

497 → 497

Iterations

Iter	Nodes
done	5000
2	3550
1	1431
0	446

prune2.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.2b

localize117.0ms

Local error

Found 4 expressions with local error:

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

rewrite787.0ms

Algorithm

rewrite-expression-head

Rules

6853×	`add-exp-log`
4356×	`prod-exp`
2706×	`div-exp`
1353×	`rec-exp` `1-exp`
333×	`add-cbrt-cube`
266×	`pow1`
246×	`pow-prod-up`
170×	`cbrt-unprod`
141×	`pow-flip` `inv-pow`
117×	`add-sqr-sqrt`
105×	`cbrt-undiv` `times-frac`
84×	`*-un-lft-identity`
68×	`frac-times` `associate-*l/` `add-cube-cbrt`
62×	`pow-plus`
39×	`associate-r`
30×	`swap-sqr` `pow-sqr`
27×	`associate-l`
24×	`pow-prod-down`
18×	`unswap-sqr`
17×	`associate-*r/` `un-div-inv`
13×	`div-inv`
10×	`pow2`
4×	`expm1-log1p-u` `pow3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 1527

Calls

4 calls:

636.0ms	(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 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)

series120.0ms

Counts

4 → 10

Calls

4 calls:

54.0ms	(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
37.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify9.7m

Iterations

Iter	Nodes
0	1871