Details

analyze118.0ms (9%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
71.8%	28.1%	0.1%	7
76.5%	21.9%	1.7%	8
80.4%	16.4%	3.2%	9
82.3%	11.7%	6%	10
84.1%	8.8%	7.1%	11
85%	6%	9%	12
85.8%	4.5%	9.7%	13
86.2%	3.1%	10.7%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample13.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify36.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

221×	`fma-def_binary64`
170×	`fma-neg_binary64`
140×	`div-sub_binary64`
107×	`times-frac_binary64`
59×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	51	7
5	74	7
6	116	7
7	207	7
8	323	7
9	500	7
10	528	7
11	554	7
12	568	7
13	593	7
14	515	7

prune1.0ms (0.1%)

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 (-.f64 x y) x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
6×	`div-sub_binary64`
6×	`add-exp-log_binary64`
4×	`times-frac_binary64`

Counts

1 → 52

Calls

1 calls:

13.0ms

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

series14.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

14.0ms

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

simplify130.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-l_binary64`
365×	`associate-/l*_binary64`
353×	`associate-r_binary64`
270×	`associate-/r*_binary64`
260×	`associate-*l/_binary64`

Counts

76 → 106

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	617
1	192	582
2	679	578
3	4057	568
4	5050	568

prune29.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Alt Table

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

Compiler

Compiled 796 to 254 computations (68.1% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cube-cbrt_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`flip3--_binary64`
4×	`pow1_binary64`

Counts

1 → 46

Calls

1 calls:

13.0ms

(-.f64 1 (/.f64 y x))

series22.0ms (1.7%)

Counts

1 → 6

Calls

1 calls:

22.0ms

(-.f64 1 (/.f64 y x))

simplify131.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

734×	`times-frac_binary64`
497×	`fma-neg_binary64`
429×	`distribute-rgt-in_binary64`
406×	`div-sub_binary64`
372×	`cancel-sign-sub-inv_binary64`

Counts

52 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	513
1	165	491
2	492	485
3	1635	483
4	4025	483
5	4834	483

prune26.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

75 → 2

Alt Table

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

Compiler

Compiled 1189 to 472 computations (60.3% saved)

regimes23.0ms (1.7%)

Accuracy

Total 0.0b remaining (74.3%)

Threshold costs 0.0b (74.3%)

Compiler

Compiled 119 to 79 computations (33.6% saved)

simplify4.0ms (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	10	7
2	16	7
3	20	7
4	23	7
5	24	7
6	23	7

end0.0ms (0%)

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

sample732.0ms (55.5%)

Algorithm

1×

intervals

Results

213.0ms	8000×	body	128	valid
4.0ms	164×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	51	7
5	74	7
6	116	7
7	207	7
8	323	7
9	500	7
10	528	7
11	554	7
12	568	7
13	593	7
14	515	7

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	51	7
5	74	7
6	116	7
7	207	7
8	323	7
9	500	7
10	528	7
11	554	7
12	568	7
13	593	7
14	515	7

Details

analyze118.0ms (9%)

sample13.0ms (1%)

simplify36.0ms (2.8%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite15.0ms (1.2%)

series14.0ms (1.1%)

simplify130.0ms (9.9%)

prune29.0ms (2.2%)

localize3.0ms (0.2%)

rewrite16.0ms (1.2%)

series22.0ms (1.7%)

simplify131.0ms (9.9%)

prune26.0ms (2%)

regimes23.0ms (1.7%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample732.0ms (55.5%)

Profiling

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	51	7
5	74	7
6	116	7
7	207	7
8	323	7
9	500	7
10	528	7
11	554	7
12	568	7
13	593	7
14	515	7