Details

analyze69.0ms (5%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

sample12.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune4.0ms (0.3%)

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: 9.8b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.3b	(/ x (* y y))

rewrite5.0ms (0.3%)

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

(/ x (* y y))

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (* y y))

simplify36.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	152

prune45.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite9.0ms (0.7%)

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

(/ (/ x y) y)

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (/ x y) y)

simplify82.0ms (6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune92.0ms (6.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt x) (/ (cbrt x) y))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite15.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`cbrt-prod`
22×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
9×	`add-exp-log`
6×	`pow1` `associate-l` `add-cbrt-cube` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt x) (/ (cbrt x) y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series87.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(* (cbrt x) (/ (cbrt x) y))
21.0ms	(cbrt x)

simplify42.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5443	578

prune110.0ms (8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
11.6b	(cbrt (/ x y))
11.6b	(cbrt (/ x y))
11.6b	(cbrt (/ x y))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`cbrt-prod`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
1.0ms	(cbrt y)

series61.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
15.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))

simplify60.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4803	596
1	4803	596

prune117.0ms (8.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

regimes190.0ms (13.9%)

Accuracy

Total 0.2b remaining (89.3%)

Threshold costs 0.2b (89.3%)

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%)

sample287.0ms (20.9%)

Algorithm

1×

intervals

Results

153.0ms	8000×	body	80	valid
7.0ms	395×	body	80	invalid

Details

analyze69.0ms (5%)

sample12.0ms (0.9%)

simplify3.0ms (0.2%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series5.0ms (0.4%)

simplify36.0ms (2.6%)

prune45.0ms (3.3%)

localize3.0ms (0.2%)

rewrite9.0ms (0.7%)

series5.0ms (0.4%)

simplify82.0ms (6%)

prune92.0ms (6.7%)

localize6.0ms (0.5%)

rewrite15.0ms (1.1%)

series87.0ms (6.3%)

simplify42.0ms (3.1%)

prune110.0ms (8%)

localize12.0ms (0.9%)

rewrite10.0ms (0.7%)

series61.0ms (4.4%)

simplify60.0ms (4.4%)

prune117.0ms (8.6%)

regimes190.0ms (13.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample287.0ms (20.9%)

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