Details

sample759.0ms

Algorithm

intervals

Results

688.0ms

3458×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1493
2	392
1	95
0	31

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize99.0ms

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)

rewrite115.0ms

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:

30.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
34.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
34.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	(sqrt PI)

series92.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify3.4s

Counts

312 → 312

Iterations

Iter	Nodes
done	5001
3	2928
2	1064
1	476
0	164

prune2.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize181.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (/ 1 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (* (sqrt (fabs x)) (fabs x))) (/ (cbrt 1) (sqrt (fabs x)))) (/ 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)

rewrite10.0m

Algorithm

rewrite-expression-head

Calls

4 calls:

3.5m	(* (* (/ 1 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (* (sqrt (fabs x)) (fabs x))) (/ (cbrt 1) (sqrt (fabs x)))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
54.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
51.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)