Details

analyze2.0s (23.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.9s (71%)

Results

3.7s	4024×	body	1024	valid
1.1s	2095×	body	512	valid
548.0ms	455×	body	2048	valid
317.0ms	1033×	body	256	valid
100.0ms	649×	body	128	valid

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	32	10
5	42	10
6	53	10
7	66	10
8	70	10
9	53	10

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	62.2b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 50 to 38 computations (24% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

series13.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

13.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/r*_binary64`
289×	`fma-def_binary64`
234×	`times-frac_binary64`
195×	`distribute-rgt-in_binary64`
154×	`associate-/l/_binary64`

Counts

41 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1544
1	492	1488
2	1711	1276
3	4911	1276

prune43.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	62.2b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 1660 to 1034 computations (37.7% saved)

localize4.0ms (0.1%)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	62.2b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 36 to 27 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	6.9b	(log.f64 (+.f64 1 x))
✓	7.2b	(log.f64 (-.f64 1 x))

series18.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

13.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
2.0ms	(log.f64 (+.f64 1 x))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
15×	`pow1_binary64`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
2.0ms	(log.f64 (+.f64 1 x))

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-def_binary64`
355×	`times-frac_binary64`
321×	`div-sub_binary64`
306×	`fma-neg_binary64`
260×	`sub-neg_binary64`

Counts

117 → 182

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	2520
1	726	2327
2	2442	2119
3	4547	2119
4	5143	2119

prune82.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	182	3	185

Error

Counts

185 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	62.2b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 3725 to 2651 computations (28.8% saved)

regimes18.0ms (0.2%)

Accuracy

Total 0.0b remaining (82.4%)

Threshold costs 0.0b (82.4%)

Counts

7 → 1

Compiler

Compiled 152 to 118 computations (22.4% saved)

simplify2.0ms (0%)

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	6	10
1	10	10
2	12	10
3	13	10
4	13	10

end43.0ms (0.5%)

Compiler: Compiled 40 to 29 computations (27.5% saved)

Details

analyze2.0s (23.9%)

sample5.9s (71%)

simplify7.0ms (0.1%)

prune4.0ms (0%)

localize4.0ms (0%)

series13.0ms (0.2%)

rewrite3.0ms (0%)

simplify53.0ms (0.6%)

prune43.0ms (0.5%)

localize4.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0.1%)

series18.0ms (0.2%)

rewrite14.0ms (0.2%)

simplify99.0ms (1.2%)

prune82.0ms (1%)

regimes18.0ms (0.2%)

simplify2.0ms (0%)

end43.0ms (0.5%)

Profiling