Details

analyze253.0ms (12.8%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	22×	body	80	invalid

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune5.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

6.0ms	(* (* y z) z)
3.0ms	(+ x (* (* y z) z))

series27.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (* y z) z))
13.0ms	(* (* y z) z)

simplify74.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune63.0ms (3.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 0.0b

Counts

36 → 7

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series94.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt z)
26.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify46.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune114.0ms (5.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series100.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt z))
29.0ms	(cbrt (cbrt z))
21.0ms	(cbrt z)
20.0ms	(cbrt z)

simplify33.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4926	282
1	4926	282

prune107.0ms (5.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize18.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))

series113.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt z))
28.0ms	(cbrt (cbrt z))
28.0ms	(cbrt (cbrt z))
27.0ms	(cbrt (cbrt z))

simplify55.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4787	368
1	4787	368

prune108.0ms (5.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

regimes326.0ms (16.5%)

Accuracy

Total 0.1b remaining (76.7%)

Threshold costs 0.1b (76.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample361.0ms (18.2%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	80	valid
15.0ms	672×	body	80	invalid

Details

analyze253.0ms (12.8%)

sample17.0ms (0.8%)

simplify2.0ms (0.1%)

prune5.0ms (0.3%)

localize5.0ms (0.2%)

rewrite10.0ms (0.5%)

series27.0ms (1.3%)

simplify74.0ms (3.7%)

prune63.0ms (3.2%)

localize9.0ms (0.4%)

rewrite10.0ms (0.5%)

series94.0ms (4.7%)

simplify46.0ms (2.3%)

prune114.0ms (5.8%)

localize14.0ms (0.7%)

rewrite6.0ms (0.3%)

series100.0ms (5.1%)

simplify33.0ms (1.7%)

prune107.0ms (5.4%)

localize18.0ms (0.9%)

rewrite9.0ms (0.5%)

series113.0ms (5.7%)

simplify55.0ms (2.8%)

prune108.0ms (5.5%)

regimes326.0ms (16.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample361.0ms (18.2%)

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