Details

analyze233.0ms (16.5%)

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
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
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample14.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune6.0ms (0.4%)

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: 0.3b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.2b	(* (* y 4.0) z)

rewrite8.0ms (0.6%)

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×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 29

Calls

2 calls:

5.0ms	(* (* y 4.0) z)
3.0ms	(- x (* (* y 4.0) z))

series12.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(- x (* (* y 4.0) z))
4.0ms	(* (* y 4.0) z)

simplify55.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5272	267

prune52.0ms (3.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(- x (* y (* 4.0 z)))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

3.0ms

(- x (* y (* 4.0 z)))

series10.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(- x (* y (* 4.0 z)))

simplify58.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4880	145
1	4880	145

prune22.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x (* (* y 4.0) z)))
0.2b	(* (* y 4.0) z)
0.2b	(* (* y 4.0) z)
0.3b	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite24.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1`
28×	`add-sqr-sqrt`
21×	`sqrt-prod`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-div`
12×	`associate-r`
9×	`sqrt-pow1` `pow1/2` `pow-prod-down`
8×	`swap-sqr` `associate-l`
7×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
5×	`pow-prod-up`
4×	`frac-times` `add-log-exp` `unswap-sqr`
3×	`pow-sqr` `*-commutative`
2×	`associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))
5.0ms	(* (* y 4.0) z)
4.0ms	(* (* y 4.0) z)
3.0ms	(sqrt (- x (* (* y 4.0) z)))

series42.0ms (3%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (- x (* (* y 4.0) z)))
15.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))
3.0ms	(* (* y 4.0) z)
3.0ms	(* (* y 4.0) z)

simplify46.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4958	1210
1	4958	1210

prune203.0ms (14.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

regimes241.0ms (17%)

Accuracy

Total 0.0b remaining (75.8%)

Threshold costs 0.0b (75.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

end0.0ms (0%)

sample356.0ms (25.2%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	80	valid
6.0ms	272×	body	80	invalid

Details

analyze233.0ms (16.5%)

sample14.0ms (1%)

simplify10.0ms (0.7%)

prune6.0ms (0.4%)

localize5.0ms (0.4%)

rewrite8.0ms (0.6%)

series12.0ms (0.9%)

simplify55.0ms (3.9%)

prune52.0ms (3.7%)

localize5.0ms (0.4%)

rewrite3.0ms (0.2%)

series10.0ms (0.7%)

simplify58.0ms (4.1%)

prune22.0ms (1.6%)

localize8.0ms (0.6%)

rewrite24.0ms (1.7%)

series42.0ms (3%)

simplify46.0ms (3.3%)

prune203.0ms (14.3%)

regimes241.0ms (17%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample356.0ms (25.2%)

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