Details

analyze263.0ms (18.3%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample14.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune5.0ms (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: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series14.0ms (1%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* (- y x) z))
7.0ms	(* (- y x) z)

simplify33.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5046	303

prune48.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
2.5b	(sqrt (* (- y x) z))
2.5b	(sqrt (* (- y x) z))

rewrite219.0ms (15.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

200.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
6.0ms	(* (- y x) z)
5.0ms	(sqrt (* (- y x) z))
5.0ms	(sqrt (* (- y x) z))

series128.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (* (- y x) z))
51.0ms	(sqrt (* (- y x) z))
17.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
7.0ms	(* (- y x) z)

simplify35.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5005	829

prune134.0ms (9.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

regimes154.0ms (10.7%)

Accuracy

Total 0.0b remaining (14.1%)

Threshold costs 0.0b (14.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample360.0ms (25%)

Algorithm

1×

intervals

Results

182.0ms	8000×	body	80	valid
12.0ms	576×	body	80	invalid

Details

analyze263.0ms (18.3%)

sample14.0ms (1%)

simplify10.0ms (0.7%)

prune5.0ms (0.4%)

localize5.0ms (0.3%)

rewrite10.0ms (0.7%)

series14.0ms (1%)

simplify33.0ms (2.3%)

prune48.0ms (3.3%)

localize7.0ms (0.5%)

rewrite219.0ms (15.2%)

series128.0ms (8.9%)

simplify35.0ms (2.4%)

prune134.0ms (9.3%)

regimes154.0ms (10.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample360.0ms (25%)

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