Details

analyze1.0s (46%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0%	100%	0%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample691.0ms (30.4%)

Results

661.0ms

8256×

body

128

valid

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	26	7
5	36	7
6	46	7
7	61	7
8	68	7
9	71	7
10	72	7
11	52	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 x (-.f64 1 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

2.0ms

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`

Counts

1 → 43

Calls

1 calls:

4.0ms

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

simplify62.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-neg_binary64`
523×	`fma-def_binary64`
509×	`associate-/l*_binary64`
300×	`associate-l_binary64`
265×	`associate-r_binary64`

Counts

55 → 61

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	772
1	186	722
2	473	715
3	1151	715
4	4197	711
5	4919	711

prune30.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 1 (+.f64 -1 (/.f64 1 x)))
	49.8b	(exp.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 x))))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 739 to 469 computations (36.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (+.f64 -1 (/.f64 1 x)))

series2.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

2.0ms

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64`

Counts

1 → 43

Calls

1 calls:

8.0ms

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

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-def_binary64`
560×	`unsub-neg_binary64`
417×	`div-sub_binary64`
396×	`sub-neg_binary64`
219×	`neg-mul-1_binary64`

Counts

55 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	752
1	152	687
2	357	680
3	932	662
4	3131	662
5	4200	662
6	5063	662

prune34.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	54	3	57

Error

Counts

57 → 3

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 1 (+.f64 -1 (/.f64 1 x)))
▶	49.8b	(exp.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 x))))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 731 to 618 computations (15.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 x) (log.f64 (-.f64 1 x)))
✓	1.3b	(exp.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 x))))
✓	2.5b	(log.f64 (-.f64 1 x))

series11.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

4.0ms	(-.f64 (log.f64 x) (log.f64 (-.f64 1 x)))
3.0ms	(exp.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 x))))
3.0ms	(log.f64 (-.f64 1 x))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
32×	`prod-diff_binary64`
31×	`pow1_binary64`
28×	`log-pow_binary64`

Counts

3 → 122

Calls

3 calls:

7.0ms	(-.f64 (log.f64 x) (log.f64 (-.f64 1 x)))
6.0ms	(exp.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 x))))
3.0ms	(log.f64 (-.f64 1 x))

simplify101.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-def_binary64`
499×	`times-frac_binary64`
343×	`associate-l_binary64`
277×	`associate-r_binary64`
267×	`fma-neg_binary64`

Counts

158 → 211

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	2339
1	482	1801
2	1417	1641
3	4357	1629
4	5477	1629

prune86.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	211	3	214

Error

Counts

214 → 3

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 1 (+.f64 -1 (/.f64 1 x)))
✓	49.8b	(exp.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 x))))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 3480 to 2329 computations (33.1% saved)

regimes18.0ms (0.8%)

Accuracy

Total 0.0b remaining (64.8%)

Threshold costs 0.0b (64.8%)

Counts

9 → 1

Compiler

Compiled 150 to 104 computations (30.7% saved)

simplify2.0ms (0.1%)

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	5	7
1	9	7
2	13	7
3	15	7
4	16	7
5	15	7

end41.0ms (1.8%)

Compiler: Compiled 35 to 26 computations (25.7% saved)

Details

analyze1.0s (46%)

sample691.0ms (30.4%)

simplify8.0ms (0.4%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series2.0ms (0.1%)

rewrite6.0ms (0.3%)

simplify62.0ms (2.7%)

prune30.0ms (1.3%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite10.0ms (0.5%)

simplify80.0ms (3.5%)

prune34.0ms (1.5%)

localize7.0ms (0.3%)

series11.0ms (0.5%)

rewrite26.0ms (1.1%)

simplify101.0ms (4.4%)

prune86.0ms (3.8%)

regimes18.0ms (0.8%)

simplify2.0ms (0.1%)

end41.0ms (1.8%)

Profiling