Details

analyze43.0ms (5%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (1.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify14.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-neg_binary64`
53×	`fma-def_binary64`
22×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5

prune3.0ms (0.3%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(fma.f64 y -1/200 x)
▶	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))

series3.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(-.f64 x (/.f64 y 200))

rewrite12.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
39×	`prod-diff_binary64`
37×	`times-frac_binary64`

Counts

1 → 71

Calls

1 calls:

6.0ms

(-.f64 x (/.f64 y 200))

simplify90.0ms (10.5%)

Algorithm

1×	egg-herbie

Rules

1018×	`fma-def_binary64`
389×	`associate-*l/_binary64`
363×	`associate-*r/_binary64`
296×	`associate-/l*_binary64`
229×	`fma-neg_binary64`

Counts

95 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1175
1	425	964
2	970	590
3	3361	590
4	4093	590
5	4958	590
6	4602	590

prune52.0ms (6.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	91	2	93

Error

Counts

93 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 2159 to 1409 computations (34.7% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)

series3.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(fma.f64 y -1/200 x)

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y -1/200 x)

simplify73.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary64`
539×	`neg-sub0_binary64`
512×	`unsub-neg_binary64`
503×	`neg-mul-1_binary64`
490×	`associate-l_binary64`

Counts

34 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	229
1	26	182
2	50	182
3	162	182
4	598	182
5	2353	182
6	3574	182
7	4429	182
8	4963	182

prune7.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	16	2	18

Error

Counts

18 → 2

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 122 to 79 computations (35.2% saved)

regimes32.0ms (3.8%)

Accuracy

Total 0.0b remaining (78.4%)

Threshold costs 0.0b (78.4%)

Counts

5 → 1

Compiler

Compiled 140 to 102 computations (27.1% saved)

simplify2.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	19	7
4	22	7
5	23	7
6	23	7

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample496.0ms (58.3%)

Algorithm

1×

intervals

Results

237.0ms

8000×

body

128

valid

Compiler

Compiled 30 to 22 computations (26.7% saved)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5

Details

analyze43.0ms (5%)

sample13.0ms (1.6%)

simplify14.0ms (1.6%)

prune3.0ms (0.3%)

localize4.0ms (0.5%)

series3.0ms (0.4%)

rewrite12.0ms (1.4%)

simplify90.0ms (10.5%)

prune52.0ms (6.1%)

localize3.0ms (0.3%)

series3.0ms (0.4%)

rewrite1.0ms (0.1%)

simplify73.0ms (8.5%)

prune7.0ms (0.8%)

regimes32.0ms (3.8%)

simplify2.0ms (0.3%)

end0.0ms (0%)

sample496.0ms (58.3%)

Profiling

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5