Details

analyze68.0ms (6.3%)

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

sample16.0ms (1.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify11.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	255	7
1	255	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 (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 13

Calls

1 calls:

6.0ms

(- (+ x y) (* x y))

series4.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (+ x y) (* x y))

simplify43.0ms (4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5299	164

prune20.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize9.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.2b	(* (* x y) (* x y))
8.6b	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
28.3b	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (* x y) (+ x y)))

rewrite237.0ms (22%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`pow1`
31×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
7×	`flip3-+` `swap-sqr` `flip-+`
6×	`distribute-lft-out` `add-log-exp`
5×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `associate-/l*`
3×	`pow-plus` `associate-/r*`
2×	`pow2` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

202.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
16.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (* x y) (+ x y)))
8.0ms	(* (+ x y) (+ x y))
6.0ms	(* (* x y) (* x y))

series35.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (* x y) (+ x y)))
10.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
6.0ms	(* (* x y) (* x y))
3.0ms	(* (+ x y) (+ x y))

simplify51.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5035	1632

prune177.0ms (16.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Merged error: 0.0b

Counts

138 → 2

regimes91.0ms (8.5%)

Accuracy

Total 0.0b remaining (6.1%)

Threshold costs 0.0b (6.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample297.0ms (27.6%)

Algorithm

1×

intervals

Results

167.0ms	8000×	body	80	valid
2.0ms	83×	body	80	invalid

Details

analyze68.0ms (6.3%)

sample16.0ms (1.5%)

simplify11.0ms (1%)

prune5.0ms (0.4%)

localize5.0ms (0.4%)

rewrite6.0ms (0.6%)

series4.0ms (0.4%)

simplify43.0ms (4%)

prune20.0ms (1.8%)

localize9.0ms (0.9%)

rewrite237.0ms (22%)

series35.0ms (3.3%)

simplify51.0ms (4.8%)

prune177.0ms (16.5%)

regimes91.0ms (8.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample297.0ms (27.6%)

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