Details

analyze2.0s (18.1%)

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

sample202.0ms (1.8%)

Algorithm

1×

intervals

Results

51.0ms	82×	body	5120	valid
39.0ms	407×	body	80	nan
23.0ms	47×	body	2560	valid
13.0ms	19×	body	5120	exit
13.0ms	146×	body	80	invalid
10.0ms	26×	body	1280	valid
7.0ms	87×	body	80	valid
3.0ms	8×	body	640	valid
1.0ms	3×	body	1280	invalid
1.0ms	4×	body	320	valid
1.0ms	2×	body	640	invalid
1.0ms	1×	body	2560	invalid
0.0ms	2×	body	160	valid
0.0ms	2×	body	160	invalid

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5515	42

prune19.0ms (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: 60.0b

Counts

2 → 2

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite93.0ms (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))))
14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

series197.0ms (1.8%)

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))))
32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune310.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	149	8	157

Merged error: 35.3b

Counts

157 → 8

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms (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:

6.0ms

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

series1.0ms (0%)

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5176	78

prune83.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	31	8	39

Merged error: 33.3b

Counts

39 → 8

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Merged error: 33.3b

Counts

8 → 8

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.3b	(/ (* d d) (* D D))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.7b	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite83.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

42.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
15.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
6.0ms	(/ (* d d) (* D D))

series230.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
5.0ms	(/ (* d d) (* D D))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5028	2550

prune252.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	132	12	144

Merged error: 32.6b

Counts

144 → 12

regimes1.3s (12%)

Accuracy

Total 1.0b remaining (3.2%)

Threshold costs 0b (0%)

bsearch2.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	108
1	48	108

end0.0ms (0%)

sample5.8s (53.6%)

Algorithm

1×

intervals

Results

1.4s	2295×	body	5120	valid
1.0s	12383×	body	80	nan
863.0ms	1733×	body	2560	valid
370.0ms	4305×	body	80	invalid
368.0ms	550×	body	5120	exit
358.0ms	862×	body	1280	valid
209.0ms	2447×	body	80	valid
134.0ms	411×	body	640	valid
44.0ms	175×	body	320	valid
25.0ms	59×	body	1280	invalid
23.0ms	44×	body	2560	invalid
15.0ms	48×	body	640	invalid
12.0ms	77×	body	160	valid
6.0ms	26×	body	320	invalid
3.0ms	19×	body	160	invalid
2.0ms	4×	body	5120	invalid

Details

analyze2.0s (18.1%)

sample202.0ms (1.8%)

simplify42.0ms (0.4%)

prune19.0ms (0.2%)

localize21.0ms (0.2%)

rewrite93.0ms (0.8%)

series197.0ms (1.8%)

simplify60.0ms (0.5%)

prune310.0ms (2.8%)

localize7.0ms (0.1%)

rewrite7.0ms (0.1%)

series1.0ms (0%)

simplify47.0ms (0.4%)

prune83.0ms (0.8%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify2.0ms (0%)

prune35.0ms (0.3%)

localize24.0ms (0.2%)

rewrite83.0ms (0.8%)

series230.0ms (2.1%)

simplify63.0ms (0.6%)

prune252.0ms (2.3%)

regimes1.3s (12%)

bsearch2.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.8s (53.6%)

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