Details

analyze229.0ms (13.7%)

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
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune5.0ms (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: 6.6b

Counts

2 → 1

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.4b	(/ (* x y) z)

rewrite4.0ms (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-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify90.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune44.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.4b	(* x (/ y z))

rewrite7.0ms (0.4%)

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))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (/ y z))

simplify66.0ms (4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5355	230

prune51.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	33	7	40

Merged error: 0b

Counts

40 → 7

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 63

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 (5.2%)

Counts

4 → 12

Calls

4 calls:

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

simplify64.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5368	519

prune100.0ms (6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	75	7	82

Merged error: 0b

Counts

82 → 7

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.6b	(/ x (/ z y))

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-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ x (/ z y))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (/ z y))

simplify89.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5069	771

prune69.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	3	0	3
Picked	0	1	1
Done	1	2	3
Total	74	6	80

Merged error: 0b

Counts

80 → 6

regimes323.0ms (19.3%)

Accuracy

Total 0.4b remaining (97.3%)

Threshold costs 0.4b (97.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	49
1	23	49

end0.0ms (0%)

sample364.0ms (21.8%)

Algorithm

1×

intervals

Results

177.0ms	8000×	body	80	valid
16.0ms	797×	body	80	invalid

Details

analyze229.0ms (13.7%)

sample14.0ms (0.9%)

simplify3.0ms (0.2%)

prune5.0ms (0.3%)

localize4.0ms (0.2%)

rewrite4.0ms (0.3%)

series5.0ms (0.3%)

simplify90.0ms (5.4%)

prune44.0ms (2.6%)

localize4.0ms (0.2%)

rewrite7.0ms (0.4%)

series5.0ms (0.3%)

simplify66.0ms (4%)

prune51.0ms (3%)

localize12.0ms (0.7%)

rewrite15.0ms (0.9%)

series87.0ms (5.2%)

simplify64.0ms (3.8%)

prune100.0ms (6%)

localize4.0ms (0.2%)

rewrite9.0ms (0.5%)

series5.0ms (0.3%)

simplify89.0ms (5.3%)

prune69.0ms (4.1%)

regimes323.0ms (19.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample364.0ms (21.8%)

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