Details

analyze869.0ms (16.6%)

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)

sample3.5s (66.6%)

Results

2.2s	2810×	body	1024	valid
467.0ms	1349×	body	512	valid
371.0ms	3103×	body	128	valid
239.0ms	310×	body	2048	valid
150.0ms	684×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify48.0ms (0.9%)

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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

5.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

3.0ms

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
661×	`associate-/l*_binary64`
283×	`fma-neg_binary64`
177×	`associate-/r/_binary64`
153×	`distribute-neg-frac_binary64`

Counts

25 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	357
1	170	333
2	478	309
3	1806	295
4	4964	295

prune19.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
	0.7b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
▶	0.0b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Compiler

Compiled 444 to 341 computations (23.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.6b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
✓	0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series270.0ms (5.2%)

Counts

2 → 16

Calls

2 calls:

264.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`log-prod_binary64`
11×	`*-un-lft-identity_binary64`
8×	`sqrt-prod_binary64`
7×	`exp-sum_binary64`
7×	`add-sqr-sqrt_binary64`

Counts

2 → 47

Calls

2 calls:

4.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
3.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-neg_binary64`
293×	`distribute-neg-frac_binary64`
276×	`distribute-rgt-neg-in_binary64`
266×	`associate-+l+_binary64`
245×	`fma-def_binary64`

Counts

63 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1070
1	295	935
2	821	876
3	3275	862
4	4865	862
5	4942	862

prune69.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Alt Table

Status	Error	Program
▶	0.7b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
✓	0.0b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Compiler

Compiled 1650 to 1278 computations (22.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.7b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

series8.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

8.0ms

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

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`sqrt-prod_binary64`
59×	`add-sqr-sqrt_binary64`
32×	`sqrt-pow1_binary64`
27×	`*-un-lft-identity_binary64`
24×	`sqrt-div_binary64`

Counts

1 → 98

Calls

1 calls:

12.0ms

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

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
283×	`fma-neg_binary64`
253×	`associate-l_binary64`
226×	`associate-r_binary64`
164×	`fma-def_binary64`

Counts

110 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1655
1	251	1492
2	721	1435
3	2462	1387
4	4979	1387
5	4979	1387

prune97.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Error

Counts

159 → 2

Alt Table

Status	Error	Program
✓	0.7b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
✓	0.0b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Compiler

Compiled 3251 to 2395 computations (26.3% saved)

regimes44.0ms (0.8%)

Accuracy

Total 0.0b remaining (12.1%)

Threshold costs 0.0b (12.1%)

Counts

12 → 1

Compiler

Compiled 449 to 388 computations (13.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	10	12

end45.0ms (0.9%)

Compiler: Compiled 38 to 32 computations (15.8% saved)

Details

analyze869.0ms (16.6%)

sample3.5s (66.6%)

simplify48.0ms (0.9%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series5.0ms (0.1%)

rewrite4.0ms (0.1%)

simplify38.0ms (0.7%)

prune19.0ms (0.4%)

localize6.0ms (0.1%)

series270.0ms (5.2%)

rewrite9.0ms (0.2%)

simplify78.0ms (1.5%)

prune69.0ms (1.3%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite23.0ms (0.4%)

simplify97.0ms (1.9%)

prune97.0ms (1.9%)

regimes44.0ms (0.8%)

simplify2.0ms (0%)

end45.0ms (0.9%)

Profiling