Details

analyze2.0s (17.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

sample200.0ms (1.8%)

Algorithm

1×

intervals

Results

46.0ms	71×	body	5120	valid
39.0ms	398×	body	80	nan
31.0ms	58×	body	2560	valid
11.0ms	124×	body	80	invalid
10.0ms	13×	body	5120	exit
10.0ms	23×	body	1280	valid
7.0ms	80×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	2×	body	2560	invalid
1.0ms	6×	body	160	valid
1.0ms	3×	body	320	invalid
0.0ms	1×	body	1280	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	640	invalid

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5515	42

prune20.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 59.5b

Counts

2 → 2

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite94.0ms (0.8%)

Algorithm

1×	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:

44.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
15.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

series197.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
33.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune374.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	9	155
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	148	9	157

Merged error: 29.7b

Counts

157 → 9

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

4.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms (0.1%)

Algorithm

1×	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×	`pow-prod-down` `associate-l/` `-commutative` `mul0-rgt` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

7.0ms

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

series1.0ms (0%)

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5176	78

prune92.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	31	9	40

Merged error: 28.8b

Counts

40 → 9

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune45.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	0	0
Total	9	9

Merged error: 28.8b

Counts

9 → 9

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

14.2b	(sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))
14.6b	(/ (* M M) (- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))))
15.0b	(* (/ c0 (* w h)) (* (/ d D) (/ d D)))
24.5b	(/ (* (pow d 4) c0) (* (pow D 4) (* w h)))

rewrite88.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-exp-log`
99×	`add-cbrt-cube`
90×	`prod-exp`
52×	`div-exp`
42×	`cbrt-unprod`
30×	`cbrt-undiv`
16×	`sqrt-div` `associate-/r/`
15×	`frac-times` `pow-to-exp` `associate-*r/` `pow-exp`
14×	`frac-sub`
11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cube-cbrt` `flip3--` `-un-lft-identity` `associate-l/` `flip--`
7×	`times-frac` `associate-l`
4×	`associate-/r*` `add-log-exp`
3×	`pow-prod-down` `sqrt-prod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

38.0ms	(/ (* M M) (- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))))
17.0ms	(sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))
13.0ms	(* (/ c0 (* w h)) (* (/ d D) (/ d D)))
11.0ms	(/ (* (pow d 4) c0) (* (pow D 4) (* w h)))

series418.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/ (* M M) (- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))))
140.0ms	(sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))
42.0ms	(* (/ c0 (* w h)) (* (/ d D) (/ d D)))
27.0ms	(/ (* (pow d 4) c0) (* (pow D 4) (* w h)))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5044	4037

prune509.0ms (4.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	167	9	176

Merged error: 23.4b

Counts

176 → 9

regimes760.0ms (6.7%)

Accuracy

Total 8.7b remaining (25.6%)

Threshold costs 0b (0%)

bsearch209.0ms (1.8%)

Steps

Iters	Range		Point
11	-1.3748162767905603e-114	-4.5896958665376974e-141	-1.3573790657687668e-114
5	-1.394140816356352e-90	-5.447678800648817e-91	-5.548180656061797e-91

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	31
1	31	31

end0.0ms (0%)

sample6.0s (52.8%)

Algorithm

1×

intervals

Results

1.5s	2298×	body	5120	valid
1.1s	12757×	body	80	nan
924.0ms	1801×	body	2560	valid
372.0ms	551×	body	5120	exit
360.0ms	4168×	body	80	invalid
327.0ms	786×	body	1280	valid
209.0ms	2449×	body	80	valid
122.0ms	378×	body	640	valid
45.0ms	184×	body	320	valid
33.0ms	77×	body	1280	invalid
21.0ms	42×	body	2560	invalid
17.0ms	104×	body	160	valid
12.0ms	37×	body	640	invalid
8.0ms	27×	body	320	invalid
6.0ms	7×	body	5120	invalid
2.0ms	11×	body	160	invalid

Details

analyze2.0s (17.8%)

sample200.0ms (1.8%)

simplify41.0ms (0.4%)

prune20.0ms (0.2%)

localize22.0ms (0.2%)

rewrite94.0ms (0.8%)

series197.0ms (1.7%)

simplify72.0ms (0.6%)

prune374.0ms (3.3%)

localize5.0ms (0%)

rewrite8.0ms (0.1%)

series1.0ms (0%)

simplify51.0ms (0.4%)

prune92.0ms (0.8%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify3.0ms (0%)

prune45.0ms (0.4%)

localize30.0ms (0.3%)

rewrite88.0ms (0.8%)

series418.0ms (3.7%)

simplify80.0ms (0.7%)

prune509.0ms (4.5%)

regimes760.0ms (6.7%)

bsearch209.0ms (1.8%)

simplify1.0ms (0%)

end0.0ms (0%)

sample6.0s (52.8%)

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