Details

analyze8.0ms (0.5%)

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)

sample1.1s (62.2%)

Results

1.1s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 26 to 23 computations (11.5% 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

prune104.0ms (5.9%)

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))

series2.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

2.0ms

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

rewrite72.0ms (4%)

Algorithm

2×	batch-egg-rewrite

Rules

543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
251×	`log-prod_binary64`
203×	`prod-diff_binary64`
147×	`pow2_binary64`

Counts

1 → 42

Calls

1 calls:

71.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	9
2	1408	9
3	4817	9
4	5016	9
0	0	0
1	0	0

simplify55.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

420×	`fma-def_binary64`
372×	`associate-/r*_binary64`
336×	`sub-neg_binary64`
281×	`distribute-rgt-neg-in_binary64`
266×	`neg-mul-1_binary64`

Counts

54 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	166
1	95	164
2	268	164
3	750	159
4	2246	159
5	4477	159
6	4924	159

prune36.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.4b	(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)))))

Compiler

Compiled 846 to 714 computations (15.6% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.3b	(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1))))
✓	0.5b	(cbrt.f64 (-.f64 (/.f64 1 x) 1))

series27.0ms (1.5%)

Counts

3 → 36

Calls

3 calls:

11.0ms	(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1))))
8.0ms	(log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)))
8.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))

rewrite51.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
143×	`log1p-udef_binary64`
100×	`prod-diff_binary64`
86×	`add-sqr-sqrt_binary64`

Counts

3 → 65

Calls

3 calls:

49.0ms	(log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)))
49.0ms	(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1))))
49.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	182	29
2	1949	29
3	4893	29
0	0	0
1	0	0

simplify96.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

384×	`distribute-rgt-neg-in_binary64`
357×	`distribute-lft-neg-in_binary64`
332×	`fma-def_binary64`
310×	`distribute-rgt-out_binary64`
302×	`sub-neg_binary64`

Counts

101 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	697
1	310	621
2	858	559
3	2886	558
4	4928	558

prune92.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	2	125

Error

Counts

125 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.4b	(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)))))

Compiler

Compiled 1844 to 1607 computations (12.9% saved)

regimes61.0ms (3.4%)

Accuracy

Total 0.0b remaining (3.4%)

Threshold costs 0.0b (3.4%)

Counts

9 → 1

Compiler

Compiled 484 to 409 computations (15.5% 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	7	11
1	14	11
2	17	11
3	18	11
4	16	11

end43.0ms (2.4%)

Compiler: Compiled 35 to 31 computations (11.4% saved)

Details

analyze8.0ms (0.5%)

sample1.1s (62.2%)

simplify7.0ms (0.4%)

prune104.0ms (5.9%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite72.0ms (4%)

simplify55.0ms (3.1%)

prune36.0ms (2%)

localize9.0ms (0.5%)

series27.0ms (1.5%)

rewrite51.0ms (2.9%)

simplify96.0ms (5.4%)

prune92.0ms (5.2%)

regimes61.0ms (3.4%)

simplify2.0ms (0.1%)

end43.0ms (2.4%)

Profiling