Details

analyze522.0ms (22.9%)

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 (1.4%)

Algorithm

1×

intervals

Results

7.0ms	190×	body	80	valid
5.0ms	25×	body	1280	valid
2.0ms	14×	body	640	valid
2.0ms	9×	body	2560	valid
1.0ms	13×	body	320	valid
1.0ms	33×	body	80	invalid
1.0ms	6×	body	640	invalid
0.0ms	5×	body	320	invalid
0.0ms	7×	body	160	invalid
0.0ms	5×	body	160	valid
0.0ms	2×	body	1280	invalid

simplify120.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5583	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))

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune41.0ms (1.8%)

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

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
4.1b	(cbrt (* y (- x z)))
4.1b	(cbrt (* y (- x z)))
4.1b	(cbrt (* y (- x z)))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
4.0ms	(cbrt (* y (- x z)))
4.0ms	(cbrt (* y (- x z)))
4.0ms	(cbrt (* y (- x z)))

series145.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
34.0ms	(cbrt (* y (- x z)))
32.0ms	(cbrt (* y (- x z)))
32.0ms	(cbrt (* y (- x z)))

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5657	796

prune99.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(* y (sqrt (- x z)))
0.2b	(* (* y (sqrt (- x z))) (sqrt (- x z)))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-r`
15×	`add-sqr-sqrt`
14×	`sqrt-div`
11×	`*-un-lft-identity` `sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

11.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
7.0ms	(* y (sqrt (- x z)))

series22.0ms (1%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(* y (sqrt (- x z)))
7.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))

simplify27.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5102	604

prune68.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	63	3	66

Merged error: 0b

Counts

66 → 3

regimes129.0ms (5.7%)

Accuracy

Total 0.0b remaining (26.5%)

Threshold costs 0.0b (26.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms (0%)

sample887.0ms (38.9%)

Algorithm

1×

intervals

Results

205.0ms	5661×	body	80	valid
153.0ms	901×	body	1280	valid
86.0ms	634×	body	640	valid
44.0ms	1250×	body	80	invalid
44.0ms	217×	body	2560	valid
39.0ms	377×	body	320	valid
29.0ms	211×	body	640	invalid
23.0ms	343×	body	160	invalid
16.0ms	167×	body	320	invalid
14.0ms	88×	body	1280	invalid
14.0ms	210×	body	160	valid

Details

analyze522.0ms (22.9%)

sample32.0ms (1.4%)

simplify120.0ms (5.3%)

prune9.0ms (0.4%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series7.0ms (0.3%)

simplify59.0ms (2.6%)

prune41.0ms (1.8%)

localize8.0ms (0.4%)

rewrite20.0ms (0.9%)

series145.0ms (6.4%)

simplify43.0ms (1.9%)

prune99.0ms (4.4%)

localize6.0ms (0.3%)

rewrite20.0ms (0.9%)

series22.0ms (1%)

simplify27.0ms (1.2%)

prune68.0ms (3%)

regimes129.0ms (5.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample887.0ms (38.9%)

Profiling