Details

analyze2.3s (25.2%)

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)

sample6.3s (69.1%)

Results

3.9s	4073×	body	1024	valid
1.2s	2080×	body	512	valid
725.0ms	425×	body	2048	valid
338.0ms	1079×	body	256	valid
100.0ms	599×	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
	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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))

series19.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

19.0ms

(/.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

prune51.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
	0.0b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

Compiler

Compiled 1651 to 1027 computations (37.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.0b	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

series33.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

17.0ms	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
16.0ms	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
2.0ms	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

simplify132.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
289×	`sub-neg_binary64`
267×	`associate-/r*_binary64`
251×	`unswap-sqr_binary64`
217×	`associate-+r+_binary64`

Counts

131 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	4281
1	900	3951
2	3270	3703
3	4889	3703
4	4939	3703

prune114.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	181	2	183

Error

Counts

183 → 2

Alt Table

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

Compiler

Compiled 4877 to 2679 computations (45.1% saved)

localize4.0ms (0%)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.3%)

Accuracy

Total 0.0b remaining (69.4%)

Threshold costs 0.0b (69.4%)

Counts

11 → 1

Compiler

Compiled 206 to 164 computations (20.4% 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	8	13
1	13	13
2	15	13
3	16	13
4	15	13

end46.0ms (0.5%)

Compiler: Compiled 36 to 27 computations (25% saved)

Details

analyze2.3s (25.2%)

sample6.3s (69.1%)

simplify7.0ms (0.1%)

prune4.0ms (0%)

localize4.0ms (0%)

series19.0ms (0.2%)

rewrite3.0ms (0%)

simplify53.0ms (0.6%)

prune51.0ms (0.6%)

localize5.0ms (0.1%)

series33.0ms (0.4%)

rewrite13.0ms (0.1%)

simplify132.0ms (1.5%)

prune114.0ms (1.3%)

localize4.0ms (0%)

prune1.0ms (0%)

regimes24.0ms (0.3%)

simplify2.0ms (0%)

end46.0ms (0.5%)

Profiling