Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample603.0ms (66.8%)

Results

592.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess24.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

92×	`fma-def_binary64`
68×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-in_binary64`
12×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	22	7
4	26	7
5	31	7
6	42	7
7	64	7
8	135	7
9	254	7
10	364	7
11	386	7
12	388	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def_binary64`
68×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-in_binary64`
12×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	22	7
4	26	7
5	31	7
6	42	7
7	64	7
8	135	7
9	254	7
10	364	7
11	386	7
12	388	7

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (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
▶	0.0b	(-.f64 (*.f64 x x) x)
	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 35 to 20 computations (42.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(-.f64 (*.f64 x x) x)	x	-inf
1.0ms	(-.f64 (*.f64 x x) x)	x	inf
1.0ms	(-.f64 (*.f64 x x) x)	x	0

rewrite41.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`prod-diff_binary64`
468×	`log1p-expm1-u_binary64`
468×	`expm1-log1p-u_binary64`
238×	`fma-def_binary64`
205×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	91	7
2	1287	7

Stop Event

1×	node limit

Counts

1 → 112

simplify34.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-neg_binary64`
536×	`associate-l_binary64`
440×	`associate-r_binary64`
434×	`unswap-sqr_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	15	74
2	28	74
3	67	74
4	190	74
5	694	74
6	3436	74

Stop Event

1×	node limit

Counts

124 → 118

prune50.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	2	120

Error

Counts

120 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
▶	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 1720 to 742 computations (56.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 x 1))

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(*.f64 x (-.f64 x 1))	x	-inf
1.0ms	(*.f64 x (-.f64 x 1))	x	inf
1.0ms	(*.f64 x (-.f64 x 1))	x	0

rewrite31.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log1p-expm1-u_binary64`
472×	`expm1-log1p-u_binary64`
330×	`unpow-prod-down_binary64`
223×	`log-prod_binary64`
124×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1314	7

Stop Event

1×	node limit

Counts

1 → 37

simplify29.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-neg_binary64`
536×	`associate-l_binary64`
440×	`associate-r_binary64`
434×	`unswap-sqr_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	15	74
2	28	74
3	67	74
4	190	74
5	694	74
6	3436	74

Stop Event

1×	node limit

Counts

49 → 43

prune16.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	2	45

Error

Counts

45 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
✓	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 395 to 240 computations (39.2% saved)

regimes16.0ms (1.8%)

Accuracy

Total 0.0b remaining (97%)

Threshold costs 0.0b (97%)

Counts

6 → 1

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	6	7
2	11	7
3	13	7
4	14	7

Stop Event

1×

saturated

end32.0ms (3.5%)

Stop Event

1×

done

Compiler

Compiled 24 to 13 computations (45.8% saved)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	22	7
4	26	7
5	31	7
6	42	7
7	64	7
8	135	7
9	254	7
10	364	7
11	386	7
12	388	7
0	1	1

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	22	7
4	26	7
5	31	7
6	42	7
7	64	7
8	135	7
9	254	7
10	364	7
11	386	7
12	388	7
0	1	1

Details

analyze4.0ms (0.4%)

sample603.0ms (66.8%)

preprocess24.0ms (2.6%)

simplify10.0ms (1.2%)

prune2.0ms (0.3%)

localize3.0ms (0.3%)

series2.0ms (0.2%)

rewrite41.0ms (4.5%)

simplify34.0ms (3.7%)

prune50.0ms (5.5%)

localize3.0ms (0.3%)

series2.0ms (0.2%)

rewrite31.0ms (3.5%)

simplify29.0ms (3.2%)

prune16.0ms (1.8%)

regimes16.0ms (1.8%)

simplify2.0ms (0.2%)

end32.0ms (3.5%)

Profiling

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	22	7
4	26	7
5	31	7
6	42	7
7	64	7
8	135	7
9	254	7
10	364	7
11	386	7
12	388	7
0	1	1