Details

analyze774.0ms (38.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample23.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
2.0ms	48×	body	80	invalid

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune6.0ms (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: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (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:

4.0ms

(- (* x y) (* z t))

series11.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(- (* x y) (* z t))

simplify51.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5477	145

prune21.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* (* z t) (* z t))
0.3b	(* (* x y) (* x y))
1.8b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
26.9b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

rewrite36.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))
7.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
6.0ms	(* (* z t) (* z t))
6.0ms	(* (* x y) (* x y))

series74.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
29.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))
9.0ms	(* (* z t) (* z t))
6.0ms	(* (* x y) (* x y))

simplify50.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1577
1	4983	1577

prune139.0ms (6.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	2	130

Merged error: 0b

Counts

130 → 2

regimes328.0ms (16.2%)

Accuracy

Total 0.0b remaining (11.3%)

Threshold costs 0.0b (11.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample478.0ms (23.7%)

Algorithm

1×

intervals

Results

208.0ms	8000×	body	80	valid
39.0ms	1385×	body	80	invalid

Details

analyze774.0ms (38.3%)

sample23.0ms (1.2%)

simplify8.0ms (0.4%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series11.0ms (0.5%)

simplify51.0ms (2.5%)

prune21.0ms (1%)

localize10.0ms (0.5%)

rewrite36.0ms (1.8%)

series74.0ms (3.7%)

simplify50.0ms (2.5%)

prune139.0ms (6.9%)

regimes328.0ms (16.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample478.0ms (23.7%)

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