Details

sample540.0ms

Algorithm

intervals

Results

131.0ms	66×	body	2560	valid
112.0ms	421×	body	80	nan
112.0ms	65×	body	5120	valid
65.0ms	202×	body	80	valid
28.0ms	28×	body	1280	valid
27.0ms	16×	body	10240	exit
10.0ms	12×	body	640	valid
6.0ms	9×	body	320	valid
2.0ms	4×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.6b

localize79.0ms

Local error

Found 4 expressions with local error:

12.9b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
12.9b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
12.9b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
26.7b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite6.6m

Algorithm

rewrite-expression-head

Rules

28977×	`add-sqr-sqrt`
11999×	`times-frac`
11025×	`frac-times`
9322×	`unswap-sqr`
7800×	`associate-/l*`
5587×	`*-un-lft-identity`
5495×	`add-cube-cbrt`
5490×	`associate-/r*`
5050×	`associate-/l/`
3124×	`sqrt-div` `frac-add`
2401×	`fma-def`
2398×	`sqrt-prod`
2385×	`difference-of-squares`
2349×	`swap-sqr`
1885×	`clear-num`
1830×	`frac-2neg`
1562×	`flip3--` `flip--`
1225×	`associate-*r/`
1211×	`associate-r`
1010×	`*-commutative`
825×	`associate-l`
495×	`associate-*l/`
242×	`div-inv`
172×	`add-cbrt-cube` `add-exp-log`
115×	`un-div-inv`
72×	`cbrt-undiv` `div-exp`
60×	`prod-exp` `cbrt-unprod`
10×	`pow1` `distribute-lft-out--`
6×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow-prod-down`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 10878

Calls

4 calls:

283.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
281.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
281.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
6.5m	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
92.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
92.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
466.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify13.8s

Counts

10890 → 10890

Iterations

Iter	Nodes
done	10409
0	10409

prune1.0m

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 27.4b

localize8.0ms

Local error

Found 1 expressions with local error:

4.7b	(* (/ c0 w) (/ 0 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-times`
67×	`add-sqr-sqrt`
61×	`associate-/l*`
60×	`associate-/r*`
56×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`times-frac`
21×	`clear-num`
20×	`frac-2neg`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
9×	`associate-l/` `associate-r/`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`un-div-inv` `div-inv`
1×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 151

Calls

1 calls:

32.0ms

(* (/ c0 w) (/ 0 2))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ c0 w) (/ 0 2))

simplify3.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5002
3	3465
2	1193
1	635
0	252

prune429.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.0b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune87.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.0b

localize74.0ms

Local error

Found 4 expressions with local error:

12.6b	(sqrt (- (* (* (* (/ c0 w) (/ (* (/ d D) (/ (* (cbrt d) (cbrt d)) (* (cbrt D) (cbrt D)))) 1)) (/ (/ (cbrt d) (cbrt D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
12.9b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
12.9b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
35.0b	(+ (sqrt (- (* (* (* (/ c0 w) (/ (* (/ d D) (/ (* (cbrt d) (cbrt d)) (* (cbrt D) (cbrt D)))) 1)) (/ (/ (cbrt d) (cbrt D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite2.1m

Algorithm: rewrite-expression-head