Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	18.7%	6.3%	5
75%	9.4%	15.7%	6
75%	4.7%	20.4%	7
75%	2.3%	22.7%	8
75%	1.2%	23.9%	9
75%	0.6%	24.5%	10
75%	0.3%	24.7%	11
75%	0.1%	24.9%	12
75%	0.1%	25%	13
75%	0%	25%	14

sample9.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune3.0ms (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: 0.6b

Counts

2 → 1

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.6b	(/ 1.0 (* x x))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series3.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify36.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	152

prune42.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify87.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune104.0ms (5.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))
0.6b	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

12.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))

series98.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
25.0ms	(cbrt (/ 1.0 x))
23.0ms	(cbrt (/ 1.0 x))
22.0ms	(cbrt (/ 1.0 x))

simplify62.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5204	1449

prune364.0ms (19.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	154	7	161

Merged error: 0.0b

Counts

161 → 7

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (cbrt (/ 1.0 x)))
0.6b	(cbrt (cbrt (/ 1.0 x)))
0.9b	(pow (cbrt (cbrt (/ 1.0 x))) 4)

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`cbrt-prod`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
19×	`unpow-prod-down`
5×	`pow1` `add-exp-log` `cbrt-div`
4×	`pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

6.0ms	(pow (cbrt (cbrt (/ 1.0 x))) 4)
3.0ms	(cbrt (cbrt (/ 1.0 x)))
3.0ms	(cbrt (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))

series174.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(pow (cbrt (cbrt (/ 1.0 x))) 4)
46.0ms	(cbrt (cbrt (/ 1.0 x)))
44.0ms	(cbrt (cbrt (/ 1.0 x)))
23.0ms	(cbrt (/ 1.0 x))

simplify66.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4819	1148
1	4819	1148

prune384.0ms (20.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	116	9	125

Merged error: 0b

Counts

125 → 9

regimes147.0ms (7.8%)

Accuracy

Total 0.1b remaining (85.2%)

Threshold costs 0.1b (85.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

end0.0ms (0%)

sample217.0ms (11.5%)

Algorithm

1×

intervals

Results

132.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze3.0ms (0.2%)

sample9.0ms (0.5%)

simplify3.0ms (0.1%)

prune3.0ms (0.2%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series3.0ms (0.1%)

simplify36.0ms (1.9%)

prune42.0ms (2.2%)

localize3.0ms (0.2%)

rewrite9.0ms (0.5%)

series3.0ms (0.1%)

simplify87.0ms (4.6%)

prune104.0ms (5.5%)

localize9.0ms (0.5%)

rewrite24.0ms (1.3%)

series98.0ms (5.2%)

simplify62.0ms (3.3%)

prune364.0ms (19.3%)

localize12.0ms (0.7%)

rewrite17.0ms (0.9%)

series174.0ms (9.2%)

simplify66.0ms (3.5%)

prune384.0ms (20.3%)

regimes147.0ms (7.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample217.0ms (11.5%)

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