Details

analyze264.0ms (22.3%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample47.0ms (4%)

Algorithm

1×

intervals

Symmetry

(sort y z)

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify13.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
56×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))

series7.0ms (0.6%)

Counts

1 → 9

Calls

1 calls:

7.0ms

(-.f64 x (*.f64 y z))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
3×	`fma-neg_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`prod-diff_binary64`

Counts

1 → 20

Calls

1 calls:

2.0ms

(-.f64 x (*.f64 y z))

simplify85.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
468×	`unsub-neg_binary64`
418×	`sub-neg_binary64`
312×	`times-frac_binary64`
248×	`neg-mul-1_binary64`

Counts

29 → 27

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	321
1	106	255
2	271	237
3	937	237
4	2175	237
5	3396	237
6	4633	237
7	4756	237
8	4854	237

prune10.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Status	Error	Program
▶	33.4b	(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
✓	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 341 to 103 computations (69.8% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y z))
✓	0.1b	(sqrt.f64 (-.f64 x (*.f64 y z)))
✓	0.3b	(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))

series58.0ms (4.9%)

Counts

2 → 44

Calls

2 calls:

42.0ms	(sqrt.f64 (-.f64 x (*.f64 y z)))
15.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))

rewrite19.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64`

Counts

2 → 78

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
2.0ms	(sqrt.f64 (-.f64 x (*.f64 y z)))

simplify70.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

525×	`times-frac_binary64`
446×	`unswap-sqr_binary64`
396×	`cancel-sign-sub-inv_binary64`
298×	`fma-neg_binary64`
252×	`*-commutative_binary64`

Counts

122 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1860
1	283	1702
2	909	1656
3	2524	1631
4	4992	1631

prune63.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	197	2	199

Error

Counts

199 → 2

Alt Table

Status	Error	Program
✓	33.4b	(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
✓	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 4262 to 930 computations (78.2% saved)

regimes45.0ms (3.8%)

Accuracy

Total 0.0b remaining (6.9%)

Threshold costs 0.0b (6.9%)

Counts

7 → 1

Compiler

Compiled 412 to 276 computations (33% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	28	7
4	32	7
5	33	7
6	33	7

end6.0ms (0.5%)

Remove: (sort y z)
Compiler: Compiled 24 to 15 computations (37.5% saved)

sample476.0ms (40.2%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	128	valid
10.0ms	288×	body	128	invalid

Compiler

Compiled 44 to 26 computations (40.9% saved)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

Details

analyze264.0ms (22.3%)

sample47.0ms (4%)

simplify13.0ms (1.1%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series7.0ms (0.6%)

rewrite3.0ms (0.3%)

simplify85.0ms (7.2%)

prune10.0ms (0.9%)

localize8.0ms (0.7%)

series58.0ms (4.9%)

rewrite19.0ms (1.6%)

simplify70.0ms (5.9%)

prune63.0ms (5.3%)

regimes45.0ms (3.8%)

simplify5.0ms (0.4%)

end6.0ms (0.5%)

sample476.0ms (40.2%)

Profiling

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7