Details

sample348.0ms

Algorithm

intervals

Results

64.0ms	70×	body	5120	valid
63.0ms	41×	body	1280	valid
50.0ms	51×	body	2560	valid
41.0ms	379×	body	80	nan
22.0ms	201×	body	80	valid
18.0ms	18×	body	10240	exit
3.0ms	9×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	4×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5011
3	3014
2	286
1	60
0	21

prune81.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 54.0b

localize139.0ms

Local error

Found 4 expressions with local error:

16.1b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
16.1b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
16.1b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
26.3b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite3.4s

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
72×	`cbrt-undiv` `div-exp`
63×	`add-sqr-sqrt`
60×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
39×	`associate-l`
33×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-r`
12×	`unswap-sqr`
10×	`pow1`
7×	`fma-def`
6×	`sqrt-div` `frac-add` `div-inv` `add-log-exp`
5×	`frac-times` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 216

Calls

4 calls:

86.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
83.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
80.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
3.1s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series1.9s

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
255.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
189.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
1.2s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify5.3s

Counts

228 → 228

Iterations

Iter	Nodes
done	5038
2	2895
1	696
0	217

prune3.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.3b

localize12.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 w) (/ 0 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

36.0ms

(* (/ c0 w) (/ 0 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (/ c0 w) (/ 0 2.0))

simplify9.7m

Iterations

Iter	Nodes
3	1699
2	484
1	277
0	112