Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample46.0ms (3%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	24	11
6	29	11
7	22	11

prune2.0ms (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	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`log-prod_binary64`
11×	`*-un-lft-identity_binary64`
6×	`difference-of-squares_binary64`
6×	`times-frac_binary64`

Counts

1 → 27

Calls

1 calls:

6.0ms

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

simplify157.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-def_binary64`
447×	`distribute-rgt-neg-in_binary64`
378×	`distribute-lft-neg-in_binary64`
351×	`sub-neg_binary64`
333×	`neg-mul-1_binary64`

Counts

39 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	637
1	162	578
2	404	572
3	1045	563
4	3179	561
5	4241	561
6	4990	561
7	4962	561

prune67.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	32.4b	(neg.f64 (-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x))))

Compiler

Compiled 702 to 579 computations (17.5% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (/.f64 1 (*.f64 x x)))
✓	0.0b	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x)))
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	31.4b	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))

series77.0ms (5%)

Counts

4 → 48

Calls

4 calls:

68.0ms	(+.f64 -1 (/.f64 1 (*.f64 x x)))
4.0ms	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
3.0ms	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x)))
2.0ms	(/.f64 1 (*.f64 x x))

rewrite25.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 113

Calls

4 calls:

7.0ms	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x)))
5.0ms	(+.f64 -1 (/.f64 1 (*.f64 x x)))
4.0ms	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
3.0ms	(/.f64 1 (*.f64 x x))

simplify143.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
417×	`associate-l_binary64`
327×	`associate-r_binary64`
191×	`unsub-neg_binary64`
147×	`distribute-rgt-in_binary64`

Counts

161 → 151

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	191	2374
1	414	2202
2	1155	2187
3	4351	2187
4	4811	2176
5	4987	2176
6	4890	2176

prune128.0ms (8.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	2	153

Error

Counts

153 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	32.4b	(neg.f64 (-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x))))

Compiler

Compiled 3436 to 2562 computations (25.4% saved)

regimes51.0ms (3.3%)

Accuracy

Total 0.0b remaining (11.2%)

Threshold costs 0.0b (11.2%)

Counts

8 → 1

Compiler

Compiled 429 to 349 computations (18.6% 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	7	11
1	14	11
2	17	11
3	18	11
4	16	11

end0.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

sample800.0ms (52.1%)

Algorithm

1×

intervals

Results

454.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 41 to 35 computations (14.6% saved)

Details

analyze5.0ms (0.3%)

sample46.0ms (3%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite8.0ms (0.5%)

simplify157.0ms (10.2%)

prune67.0ms (4.4%)

localize11.0ms (0.7%)

series77.0ms (5%)

rewrite25.0ms (1.6%)

simplify143.0ms (9.3%)

prune128.0ms (8.3%)

regimes51.0ms (3.3%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample800.0ms (52.1%)

Profiling