Details

analyze522.0ms (24.3%)

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
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

sample32.0ms (1.5%)

Algorithm

1×

intervals

Results

6.0ms	177×	body	80	valid
5.0ms	28×	body	1280	valid
3.0ms	24×	body	640	valid
2.0ms	9×	body	2560	valid
1.0ms	12×	body	640	invalid
1.0ms	41×	body	80	invalid
1.0ms	6×	body	1280	invalid
1.0ms	9×	body	320	valid
1.0ms	9×	body	320	invalid
1.0ms	9×	body	160	valid
0.0ms	4×	body	160	invalid

simplify184.0ms (8.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	5123	5

prune9.0ms (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 → 2

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune37.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* y x) (* y (neg z)))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* y x) (* y (neg z)))

simplify57.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5170	116

prune23.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series89.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify44.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune89.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes121.0ms (5.6%)

Accuracy

Total 0.0b remaining (73.6%)

Threshold costs 0.0b (73.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms (0%)

sample828.0ms (38.5%)

Algorithm

1×

intervals

Results

193.0ms	5699×	body	80	valid
135.0ms	879×	body	1280	valid
75.0ms	618×	body	640	valid
45.0ms	240×	body	2560	valid
42.0ms	1211×	body	80	invalid
36.0ms	304×	body	640	invalid
35.0ms	365×	body	320	valid
21.0ms	220×	body	320	invalid
16.0ms	106×	body	1280	invalid
13.0ms	199×	body	160	valid
11.0ms	151×	body	160	invalid

Details

analyze522.0ms (24.3%)

sample32.0ms (1.5%)

simplify184.0ms (8.5%)

prune9.0ms (0.4%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series7.0ms (0.3%)

simplify63.0ms (2.9%)

prune37.0ms (1.7%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series7.0ms (0.3%)

simplify57.0ms (2.6%)

prune23.0ms (1.1%)

localize8.0ms (0.4%)

rewrite10.0ms (0.5%)

series89.0ms (4.2%)

simplify44.0ms (2%)

prune89.0ms (4.2%)

regimes121.0ms (5.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample828.0ms (38.5%)

Profiling