Details

analyze315.0ms (13.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	239×	body	80	valid
1.0ms	8×	body	640	valid
0.0ms	16×	body	80	invalid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune11.0ms (0.5%)

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: 0.1b

Counts

2 → 2

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 3.0 (+ d2 d3)))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

10.0ms

(* d1 (+ 3.0 (+ d2 d3)))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ 3.0 (+ d2 d3)))

simplify42.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5254	218

prune48.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
8.1b	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
14.6b	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
5×	`pow1` `add-log-exp`
4×	`flip3--` `associate-r/` `associate-r*` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `associate--r+`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

11.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))
6.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
4.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))

series58.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))
21.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
7.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))

simplify29.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5232	1096

prune125.0ms (5.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	75	5	80

Merged error: 0b

Counts

80 → 5

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
0.3b	(/ d1 (/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))))
20.0b	(/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac`
195×	`*-un-lft-identity`
132×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
53×	`difference-of-squares`
42×	`distribute-lft-out--`
34×	`associate-/r*`
21×	`distribute-lft-out`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/` `associate--r+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `div-sub`

Counts

3 → 203

Calls

3 calls:

14.0ms	(/ d1 (/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))))
10.0ms	(/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
4.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))

series52.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ d1 (/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))))
16.0ms	(/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
7.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))

simplify95.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4962	5350
1	4962	5350

prune407.0ms (18%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	213	4	217

Merged error: 0b

Counts

217 → 4

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
0.0b	(/ d1 (- 3.0 (+ d2 d3)))
24.3b	(* (/ d1 (- 3.0 (+ d2 d3))) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
37×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-l`
14×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`pow1` `flip3--` `flip--` `add-log-exp`
4×	`associate-r` `associate-/r/`
3×	`sub-neg` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`
1×	`frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 105

Calls

3 calls:

14.0ms	(* (/ d1 (- 3.0 (+ d2 d3))) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
7.0ms	(/ d1 (- 3.0 (+ d2 d3)))
4.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))

series48.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (/ d1 (- 3.0 (+ d2 d3))) (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
9.0ms	(/ d1 (- 3.0 (+ d2 d3)))
7.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))

simplify58.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4895	1453
1	4895	1453

prune174.0ms (7.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Merged error: 0b

Counts

118 → 4

regimes149.0ms (6.6%)

Accuracy

Total 0.0b remaining (78.1%)

Threshold costs 0.0b (78.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample484.0ms (21.4%)

Algorithm

1×

intervals

Results

233.0ms	7460×	body	80	valid
24.0ms	218×	body	640	valid
21.0ms	700×	body	80	invalid
14.0ms	90×	body	1280	valid
12.0ms	144×	body	320	valid
5.0ms	88×	body	160	valid

Details

analyze315.0ms (13.9%)

sample19.0ms (0.8%)

simplify4.0ms (0.2%)

prune11.0ms (0.5%)

localize5.0ms (0.2%)

rewrite11.0ms (0.5%)

series7.0ms (0.3%)

simplify42.0ms (1.9%)

prune48.0ms (2.1%)

localize10.0ms (0.4%)

rewrite23.0ms (1%)

series58.0ms (2.6%)

simplify29.0ms (1.3%)

prune125.0ms (5.5%)

localize10.0ms (0.4%)

rewrite38.0ms (1.7%)

series52.0ms (2.3%)

simplify95.0ms (4.2%)

prune407.0ms (18%)

localize10.0ms (0.4%)

rewrite28.0ms (1.2%)

series48.0ms (2.1%)

simplify58.0ms (2.6%)

prune174.0ms (7.7%)

regimes149.0ms (6.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample484.0ms (21.4%)

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