Details

sample370.0ms

Algorithm

intervals

Results

112.0ms	76×	body	5120	valid
71.0ms	211×	body	80	valid
52.0ms	466×	body	80	nan
36.0ms	56×	body	2560	valid
14.0ms	14×	body	10240	exit
13.0ms	24×	body	1280	valid
7.0ms	16×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	21	52
1	60	52
2	295	50
3	3269	50
done	5000	45

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.6b

localize38.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

62.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
74.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
63.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
981.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series981.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
191.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
172.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
461.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.3s

Counts

168 → 168

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	161	4866
1	484	4432
2	3124	2971
done	5002	2933

prune587.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.2b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite36.0ms

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×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

34.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify3.2s

Counts

33 → 33

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	69	299
1	160	78
2	472	42
3	2122	42
done	5001	42

prune173.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 29.6b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 29.6b

localize46.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b	(/ (* (* w h) (* D D)) (* d d))
33.5b	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
21×	`times-frac`
20×	`fma-def`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`div-inv`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 161

Calls

4 calls:

46.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
46.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms	(/ (* (* w h) (* D D)) (* d d))
883.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series999.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
118.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
109.0ms	(/ (* (* w h) (* D D)) (* d d))
648.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify3.0s

Counts

173 → 173

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	201	4466
1	590	4081
2	3862	2768
done	5000	2755

prune666.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 29.1b

Details

sample370.0ms

simplify2.9s

prune28.0ms

localize38.0ms

rewrite1.2s

series981.0ms

simplify2.3s

prune587.0ms

localize5.0ms

rewrite36.0ms

series3.0ms

simplify3.2s

prune173.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune47.0ms

localize46.0ms

rewrite1.0s

series999.0ms

simplify3.0s

prune666.0ms

regimes11.0ms