Details

analyze48.0ms (4.7%)

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample681.0ms (66.8%)

Results

669.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess27.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

112×	`fma-neg_binary64`
52×	`fma-def_binary64`
40×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
14×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify12.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Stop Event

1×

saturated

Counts

1 → 2

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

0.0b

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)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(-.f64 x (/.f64 y 200))	x	0
1.0ms	(-.f64 x (/.f64 y 200))	x	inf
1.0ms	(-.f64 x (/.f64 y 200))	x	-inf
1.0ms	(-.f64 x (/.f64 y 200))	y	-inf
1.0ms	(-.f64 x (/.f64 y 200))	y	inf

rewrite43.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
488×	`prod-diff_binary64`
71×	`add-sqr-sqrt_binary64`
70×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1879	7

Stop Event

1×	node limit

Counts

1 → 70

simplify16.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
26×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Stop Event

1×

saturated

Counts

94 → 74

prune40.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	74	2	76

Error

0.0b

Counts

76 → 2

Alt Table

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

Compiler

Compiled 1244 to 797 computations (35.9% 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 (0.3%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(fma.f64 y -1/200 x)	x	inf
1.0ms	(fma.f64 y -1/200 x)	x	-inf
1.0ms	(fma.f64 y -1/200 x)	y	-inf
1.0ms	(fma.f64 y -1/200 x)	y	inf
0.0ms	(fma.f64 y -1/200 x)	y	0

rewrite33.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
365×	`pow1_binary64`
210×	`unpow-prod-down_binary64`
202×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1116	5

Stop Event

1×	node limit

Counts

1 → 39

simplify19.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
26×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Stop Event

1×

saturated

Counts

63 → 44

prune18.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	44	2	46

Error

0.0b

Counts

46 → 2

Alt Table

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

Compiler

Compiled 437 to 313 computations (28.4% saved)

regimes30.0ms (3%)

Accuracy

Total 0.0b remaining (79.1%)

Threshold costs 0.0b (79.1%)

Counts

5 → 1

Compiler

Compiled 140 to 102 computations (27.1% saved)

simplify3.0ms (0.2%)

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

Stop Event

1×

saturated

end33.0ms (3.3%)

Stop Event

1×

done

Compiler

Compiled 27 to 19 computations (29.6% saved)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Details

analyze48.0ms (4.7%)

sample681.0ms (66.8%)

preprocess27.0ms (2.6%)

simplify12.0ms (1.2%)

prune3.0ms (0.3%)

localize3.0ms (0.3%)

series3.0ms (0.3%)

rewrite43.0ms (4.2%)

simplify16.0ms (1.6%)

prune40.0ms (3.9%)

localize3.0ms (0.3%)

series3.0ms (0.3%)

rewrite33.0ms (3.3%)

simplify19.0ms (1.9%)

prune18.0ms (1.7%)

regimes30.0ms (3%)

simplify3.0ms (0.2%)

end33.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105