Details

analyze161.0ms (7.6%)

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	32×	body	80	nan
0.0ms	6×	body	80	invalid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune6.0ms (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

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(* y (sqrt z))
3.0ms	(+ x (* y (sqrt z)))

series14.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* y (sqrt z)))
6.0ms	(* y (sqrt z))

simplify35.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4969	299
1	4969	299

prune74.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(* y (fabs (cbrt z)))
0.3b	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 64

Calls

4 calls:

7.0ms	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
3.0ms	(* y (fabs (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series73.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
6.0ms	(* y (fabs (cbrt z)))

simplify41.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4878	500
1	4878	500

prune117.0ms (5.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
3.9b	(cbrt (* y (fabs (cbrt z))))
3.9b	(cbrt (* y (fabs (cbrt z))))
3.9b	(cbrt (* y (fabs (cbrt z))))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt (* y (fabs (cbrt z))))
2.0ms	(cbrt (* y (fabs (cbrt z))))
2.0ms	(cbrt (* y (fabs (cbrt z))))
1.0ms	(cbrt z)

series110.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (* y (fabs (cbrt z))))
27.0ms	(cbrt z)
25.0ms	(cbrt (* y (fabs (cbrt z))))
23.0ms	(cbrt (* y (fabs (cbrt z))))

simplify38.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5613	313

prune78.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series64.0ms (3%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (sqrt z))
16.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
15.0ms	(cbrt (sqrt z))
15.0ms	(cbrt (sqrt z))

simplify70.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4864	728
1	4864	728

prune152.0ms (7.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

regimes439.0ms (20.6%)

Accuracy

Total 0.1b remaining (67.5%)

Threshold costs 0.1b (67.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms (0%)

sample547.0ms (25.6%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	80	valid
40.0ms	1129×	body	80	nan
17.0ms	405×	body	80	invalid

Details

analyze161.0ms (7.6%)

sample20.0ms (0.9%)

simplify4.0ms (0.2%)

prune6.0ms (0.3%)

localize7.0ms (0.3%)

rewrite8.0ms (0.4%)

series14.0ms (0.7%)

simplify35.0ms (1.7%)

prune74.0ms (3.4%)

localize11.0ms (0.5%)

rewrite14.0ms (0.7%)

series73.0ms (3.4%)

simplify41.0ms (1.9%)

prune117.0ms (5.5%)

localize16.0ms (0.8%)

rewrite8.0ms (0.4%)

series110.0ms (5.2%)

simplify38.0ms (1.8%)

prune78.0ms (3.6%)

localize11.0ms (0.5%)

rewrite16.0ms (0.7%)

series64.0ms (3%)

simplify70.0ms (3.3%)

prune152.0ms (7.1%)

regimes439.0ms (20.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample547.0ms (25.6%)

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