Details

analyze420.0ms (25.9%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample20.0ms (1.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	29×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify21.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

95×	`cancel-sign-sub-inv_binary64`
50×	`sub-neg_binary64`
42×	`distribute-rgt-neg-in_binary64`
39×	`associate--r+_binary64`
38×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

prune3.0ms (0.2%)

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 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 54 to 34 computations (37% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)

rewrite26.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
4.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 505 to 144 computations (71.5% saved)

series52.0ms (3.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

22.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
16.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 586 to 344 computations (41.3% saved)

simplify80.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

461×	`associate-l_binary64`
384×	`associate-r_binary64`
368×	`distribute-rgt-in_binary64`
367×	`distribute-lft-in_binary64`
323×	`neg-sub0_binary64`

Counts

72 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	682
1	208	661
2	601	655
3	2199	655
4	4143	655
5	5131	655

prune15.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Alt Table

Status	Error	Program
▶	31.0b	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 399 to 130 computations (67.4% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
0.1b	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z)))
0.1b	(*.f64 x (sqrt.f64 (+.f64 z y)))

rewrite49.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-r_binary64`
14×	`sqrt-div_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`

Counts

3 → 69

Calls

3 calls:

10.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z)))
9.0ms	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
6.0ms	(*.f64 x (sqrt.f64 (+.f64 z y)))

Compiler

Compiled 1437 to 315 computations (78.1% saved)

series72.0ms (4.4%)

Error

Counts

3 → 46

Calls

3 calls:

25.0ms	(*.f64 x (sqrt.f64 (+.f64 z y)))
25.0ms	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
16.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z)))

Compiler

Compiled 1231 to 734 computations (40.4% saved)

simplify123.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

431×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
348×	`*-commutative_binary64`
225×	`cancel-sign-sub-inv_binary64`
213×	`associate-l_binary64`

Counts

115 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1525
1	411	1470
2	1170	1441
3	2821	1441
4	4357	1441
5	4997	1441
6	4915	1441

prune23.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	2	89

Error

Counts

89 → 2

Alt Table

Status	Error	Program
	31.0b	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 995 to 321 computations (67.7% saved)

regimes88.0ms (5.4%)

Accuracy

Total 0.0b remaining (21.7%)

Threshold costs 0.0b (21.7%)

Compiler

Compiled 1080 to 666 computations (38.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample615.0ms (37.9%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
30.0ms	720×	body	128	invalid

Compiler

Compiled 52 to 34 computations (34.6% saved)

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Details

analyze420.0ms (25.9%)

sample20.0ms (1.3%)

simplify21.0ms (1.3%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite26.0ms (1.6%)

series52.0ms (3.2%)

simplify80.0ms (4.9%)

prune15.0ms (1%)

localize9.0ms (0.6%)

rewrite49.0ms (3%)

series72.0ms (4.4%)

simplify123.0ms (7.6%)

prune23.0ms (1.4%)

regimes88.0ms (5.4%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample615.0ms (37.9%)

Profiling

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10