Details

sample161.0ms

Algorithm

intervals

Results

43.0ms	83×	body	5120	valid
25.0ms	434×	body	80	nan
23.0ms	63×	body	2560	valid
11.0ms	192×	body	80	valid
11.0ms	22×	body	10240	exit
6.0ms	22×	body	1280	valid
3.0ms	14×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	52
1	59	52
2	285	52
3	3135	52
done	5001	52

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize19.0ms

Local error

Found 4 expressions with local error:

16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
277.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
243.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.3s

Counts

155 → 155

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	157	4688
1	562	4293
2	3337	2803
done	5000	2803

prune352.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 30.7b

localize5.0ms

Local error

Found 1 expressions with local error:

7.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

10.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify47.0ms

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	67	283
1	179	104