Details

sample1.8s

Algorithm

intervals

Results

1.7s

3635×

body

valid

simplify6.8s

Counts

1 → 1

Iterations

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

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize124.0ms

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)

rewrite87.0ms

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:

16.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
29.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
34.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series76.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
25.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
31.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify4.2s

Counts

320 → 320

Iterations

Iter	Nodes
3	3491
2	1249
1	485
0	168

prune4.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

23237×	`add-exp-log`
16644×	`prod-exp`
8338×	`div-exp`
4169×	`rec-exp` `1-exp`
1024×	`pow-to-exp` `pow-exp`
477×	`add-cbrt-cube`
266×	`cbrt-unprod`
170×	`pow-prod-up`
137×	`cbrt-undiv`
129×	`pow1`
117×	`add-sqr-sqrt`
105×	`times-frac`
100×	`frac-times` `associate-*l/`
96×	`pow-flip` `inv-pow`
84×	`*-un-lft-identity`
68×	`add-cube-cbrt`
39×	`associate-r`
33×	`associate-*r/` `un-div-inv`
30×	`swap-sqr`
27×	`associate-l`
18×	`unswap-sqr`
16×	`pow-prod-down`
13×	`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 → 3809

Calls

4 calls:

2.0s	(* (* (* (* (* (pow (fabs x) -2) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
16.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	(sqrt PI)

series159.0ms

Counts

4 → 10

Calls

4 calls:

75.0ms	(* (* (* (* (* (pow (fabs x) -2) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
33.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
52.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify9.7m

Iterations

Iter	Nodes
0	3624