Details

analyze77.0ms (5.9%)

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)

sample19.0ms (1.5%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify50.0ms (3.9%)

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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7

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 → 1

Alt Table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(*.f64 x (-.f64 x 1))

rewrite22.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 52

Calls

1 calls:

12.0ms

(*.f64 x (-.f64 x 1))

simplify107.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

411×	`unswap-sqr_binary64`
411×	`fma-neg_binary64`
340×	`*-commutative_binary64`
316×	`exp-prod_binary64`
265×	`distribute-rgt-neg-in_binary64`

Counts

64 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	597
1	121	507
2	321	503
3	1110	503
4	1977	503
5	4623	503
6	4945	503

prune83.0ms (6.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

Counts

76 → 2

Alt Table

Status	Error	Program
	6.3b	(/.f64 (.f64 x (-.f64 (.f64 x x) (*.f64 1 1))) (+.f64 x 1))
▶	0.0b	(-.f64 (pow.f64 x 2) x)

Compiler

Compiled 1125 to 754 computations (33% saved)

localize11.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 2) x)

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 (pow.f64 x 2) x)

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
24×	`prod-diff_binary64`
21×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`unpow-prod-down_binary64`

Counts

1 → 54

Calls

1 calls:

10.0ms

(-.f64 (pow.f64 x 2) x)

simplify119.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

1171×	`fma-neg_binary64`
387×	`associate-l_binary64`
331×	`exp-prod_binary64`
314×	`associate-r_binary64`
289×	`cancel-sign-sub-inv_binary64`

Counts

57 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	904
1	142	512
2	391	437
3	1970	437
4	3221	437
5	4888	437
6	4850	437

prune60.0ms (4.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	1	71

Error

Counts

71 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 x x (neg.f64 x))

Compiler

Compiled 1136 to 484 computations (57.4% saved)

localize6.0ms (0.5%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 x x (neg.f64 x))

Compiler

Compiled 6 to 3 computations (50% saved)

regimes59.0ms (4.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

13 → 1

Compiler

Compiled 256 to 166 computations (35.2% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	8	7
2	10	7
3	11	7
4	11	7

end1.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

sample636.0ms (49.3%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 20 to 12 computations (40% saved)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7

Details

analyze77.0ms (5.9%)

sample19.0ms (1.5%)

simplify50.0ms (3.9%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series4.0ms (0.3%)

rewrite22.0ms (1.7%)

simplify107.0ms (8.3%)

prune83.0ms (6.4%)

localize11.0ms (0.9%)

series5.0ms (0.4%)

rewrite17.0ms (1.4%)

simplify119.0ms (9.2%)

prune60.0ms (4.7%)

localize6.0ms (0.5%)

prune1.0ms (0.1%)

regimes59.0ms (4.5%)

simplify4.0ms (0.3%)

end1.0ms (0.1%)

sample636.0ms (49.3%)

Profiling

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7