Details

analyze664.0ms (14.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.1%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.3s (69.3%)

Results

1.4s	2818×	body	1024	valid
691.0ms	1343×	body	512	valid
461.0ms	3137×	body	128	valid
401.0ms	682×	body	256	valid
242.0ms	276×	body	2048	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

667×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
380×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	123	11
5	318	8
6	1056	8
7	4350	8
8	4987	8

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))

series2.0ms (0%)

Counts

1 → 4

Calls

1 calls:

2.0ms

(+.f64 1 (exp.f64 x))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

2.0ms

(+.f64 1 (exp.f64 x))

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-neg_binary64`
576×	`unswap-sqr_binary64`
555×	`associate-r_binary64`
416×	`associate-+l+_binary64`
344×	`fma-def_binary64`

Counts

21 → 26

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	181
1	109	161
2	216	161
3	498	154
4	1201	154
5	2657	154
6	4636	154
7	5022	154

prune16.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
	23.2b	(sqrt.f64 (+.f64 2 x))

Compiler

Compiled 277 to 196 computations (29.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series390.0ms (8.3%)

Counts

2 → 24

Calls

2 calls:

204.0ms	(exp.f64 (log1p.f64 (exp.f64 x)))
186.0ms	(log1p.f64 (exp.f64 x))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`exp-prod_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 25

Calls

2 calls:

1.0ms	(exp.f64 (log1p.f64 (exp.f64 x)))
0.0ms	(log1p.f64 (exp.f64 x))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-neg_binary64`
666×	`cancel-sign-sub-inv_binary64`
429×	`fma-def_binary64`
355×	`*-commutative_binary64`
350×	`distribute-rgt-neg-in_binary64`

Counts

49 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	393
1	107	356
2	205	350
3	524	339
4	1461	339
5	2636	339
6	4413	339
7	4811	339
8	4914	339

prune19.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Error

Counts

48 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
▶	23.2b	(sqrt.f64 (+.f64 2 x))

Compiler

Compiled 447 to 253 computations (43.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 2 x))

series8.0ms (0.2%)

Counts

1 → 4

Calls

1 calls:

8.0ms

(sqrt.f64 (+.f64 2 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`sqrt-prod_binary64`
2×	`sqrt-div_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 19

Calls

1 calls:

4.0ms

(sqrt.f64 (+.f64 2 x))

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-neg_binary64`
462×	`times-frac_binary64`
435×	`distribute-neg-frac_binary64`
359×	`associate-/l*_binary64`
342×	`fma-def_binary64`

Counts

23 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	263
1	124	246
2	270	245
3	838	234
4	3514	234
5	4993	234

prune12.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
✓	23.2b	(sqrt.f64 (+.f64 2 x))

Compiler

Compiled 319 to 265 computations (16.9% saved)

regimes31.0ms (0.7%)

Accuracy

Total 0.0b remaining (8.3%)

Threshold costs 0.0b (8.3%)

Counts

5 → 1

Compiler

Compiled 235 to 198 computations (15.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end38.0ms (0.8%)

Compiler: Compiled 23 to 19 computations (17.4% saved)

Details

analyze664.0ms (14.1%)

sample3.3s (69.3%)

simplify46.0ms (1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite3.0ms (0.1%)

simplify68.0ms (1.5%)

prune16.0ms (0.4%)

localize5.0ms (0.1%)

series390.0ms (8.3%)

rewrite2.0ms (0%)

simplify76.0ms (1.6%)

prune19.0ms (0.4%)

localize3.0ms (0.1%)

series8.0ms (0.2%)

rewrite4.0ms (0.1%)

simplify44.0ms (0.9%)

prune12.0ms (0.3%)

regimes31.0ms (0.7%)

simplify2.0ms (0%)

end38.0ms (0.8%)

Profiling