Details

analyze801.0ms (23.8%)

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample122.0ms (3.6%)

Algorithm

1×

intervals

Results

10.0ms	191×	body	128	valid
4.0ms	26×	body	1024	valid
2.0ms	13×	body	2048	valid
2.0ms	18×	body	512	valid
2.0ms	47×	body	128	invalid
1.0ms	10×	body	512	invalid
1.0ms	5×	body	1024	invalid
1.0ms	8×	body	256	valid
0.0ms	6×	body	256	invalid

Compiler

Compiled 40 to 22 computations (45% saved)

simplify257.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

7175×	`fma-neg_binary64`
753×	`unsub-neg_binary64`
515×	`distribute-lft-out_binary64`
498×	`distribute-lft-out--_binary64`
472×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	80	7
3	206	7
4	565	7
5	1825	7
6	2161	7
7	2289	7
8	2491	7
9	2604	7
10	2649	7
11	3904	7
12	3380	7
13	3584	7
14	3584	7
15	3996	7
16	4202	7
17	4202	7
18	4202	7
19	4304	7
20	4304	7
21	11032	7

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.7b	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
▶	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 75 to 39 computations (48% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

13.0ms

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

simplify89.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
422×	`unsub-neg_binary64`
281×	`unswap-sqr_binary64`
277×	`*-commutative_binary64`
231×	`neg-mul-1_binary64`

Counts

86 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	869
1	190	803
2	577	749
3	1458	695
4	3029	695
5	4852	695
6	5000	695
7	4766	695

prune28.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	67	2	69

Error

Counts

69 → 2

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 1049 to 282 computations (73.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))
✓	0.4b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))
✓	0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
✓	0.5b	(cbrt.f64 (-.f64 x z))

series518.0ms (15.4%)

Counts

4 → 120

Calls

4 calls:

435.0ms	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))
37.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
27.0ms	(cbrt.f64 (-.f64 x z))
18.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))

rewrite52.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
40×	`flip--_binary64`
40×	`flip3--_binary64`
38×	`cbrt-prod_binary64`

Counts

4 → 158

Calls

4 calls:

15.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))
9.0ms	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))
8.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
2.0ms	(cbrt.f64 (-.f64 x z))

simplify147.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-r_binary64`
516×	`associate-l_binary64`
287×	`fma-neg_binary64`
260×	`unswap-sqr_binary64`
259×	`*-commutative_binary64`

Counts

278 → 297

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	6771
1	1039	6456
2	3482	6218
3	4958	6218

prune206.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	401	2	403

Error

Counts

403 → 2

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 11913 to 4651 computations (61% saved)

regimes53.0ms (1.6%)

Accuracy

Total 0.0b remaining (17.8%)

Threshold costs 0.0b (17.8%)

Counts

13 → 1

Compiler

Compiled 712 to 408 computations (42.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-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	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

sample1.0s (31.2%)

Algorithm

1×

intervals

Results

246.0ms	5845×	body	128	valid
125.0ms	811×	body	1024	valid
107.0ms	473×	body	2048	valid
66.0ms	561×	body	512	valid
55.0ms	1325×	body	128	invalid
31.0ms	284×	body	512	invalid
27.0ms	188×	body	1024	invalid
27.0ms	310×	body	256	valid
21.0ms	220×	body	256	invalid

Compiler

Compiled 57 to 31 computations (45.6% saved)

Details

analyze801.0ms (23.8%)

sample122.0ms (3.6%)

simplify257.0ms (7.6%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series7.0ms (0.2%)

rewrite16.0ms (0.5%)

simplify89.0ms (2.7%)

prune28.0ms (0.8%)

localize9.0ms (0.3%)

series518.0ms (15.4%)

rewrite52.0ms (1.5%)

simplify147.0ms (4.4%)

prune206.0ms (6.1%)

regimes53.0ms (1.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (31.2%)

Profiling