Details

analyze779.0ms (25.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	53×	body	80	invalid

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4973	5
1	4973	5

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 5.9b

Counts

2 → 1

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.7b	(* x (/ y z))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ y z))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* x (/ y z))

simplify96.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5355	230

prune113.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	25	10	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	11	36

Merged error: 0.0b

Counts

36 → 11

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.2b	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `associate-*r/` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

10.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series87.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
20.0ms	(cbrt z)

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5103	442

prune116.0ms (3.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	66	13	79

Merged error: 0.0b

Counts

79 → 13

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
1.2b	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))))))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log`
27×	`cbrt-prod`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`associate-*r/`
1×	`associate-r` `*-commutative`

Counts

4 → 69

Calls

4 calls:

19.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))))))
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))

series111.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (cbrt z))
28.0ms	(cbrt (cbrt z))
28.0ms	(cbrt (cbrt z))
24.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))))))

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5682	638

prune125.0ms (4.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	81	13	94

Merged error: 0.0b

Counts

94 → 13

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
5.1b	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 80

Calls

4 calls:

12.0ms	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series72.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
20.0ms	(cbrt y)
20.0ms	(cbrt y)
8.0ms	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	584
1	4955	584

prune95.0ms (3.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	92	13	105

Merged error: 0.0b

Counts

105 → 13

regimes518.0ms (16.7%)

Accuracy

Total 2.0b remaining (98.8%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	14	19

end0.0ms (0%)

sample575.0ms (18.6%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	80	valid
54.0ms	1540×	body	80	invalid

Details

analyze779.0ms (25.2%)

sample22.0ms (0.7%)

simplify98.0ms (3.2%)

prune8.0ms (0.2%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series8.0ms (0.3%)

simplify96.0ms (3.1%)

prune113.0ms (3.7%)

localize12.0ms (0.4%)

rewrite14.0ms (0.5%)

series87.0ms (2.8%)

simplify40.0ms (1.3%)

prune116.0ms (3.7%)

localize18.0ms (0.6%)

rewrite25.0ms (0.8%)

series111.0ms (3.6%)

simplify58.0ms (1.9%)

prune125.0ms (4.1%)

localize8.0ms (0.2%)

rewrite17.0ms (0.6%)

series72.0ms (2.3%)

simplify67.0ms (2.2%)

prune95.0ms (3.1%)

regimes518.0ms (16.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample575.0ms (18.6%)

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