Details

analyze715.0ms (16.5%)

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 (75.3%)

Results

1.7s	2726×	body	1024	valid
482.0ms	288×	body	2048	valid
430.0ms	1391×	body	512	valid
359.0ms	3196×	body	128	valid
148.0ms	655×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify44.0ms (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 2 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
4×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 38

Calls

2 calls:

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

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
283×	`fma-neg_binary64`
235×	`fma-def_binary64`
177×	`associate-/r/_binary64`
165×	`associate-+l+_binary64`

Counts

46 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	538
1	218	494
2	595	470
3	2140	454
4	4978	454
5	4938	454
6	5008	454

prune44.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Error

Counts

56 → 1

Alt Table

Status	Error	Program
▶	0b	(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

Compiler

Compiled 669 to 486 computations (27.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

4.0ms

(sqrt.f64 (exp.f64 x))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`sqrt-pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`sqrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`exp-prod_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

(sqrt.f64 (exp.f64 x))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

889×	`associate-/l/_binary64`
540×	`unswap-sqr_binary64`
520×	`associate-l_binary64`
456×	`fma-def_binary64`
294×	`associate-r_binary64`

Counts

22 → 28

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	41	172
1	71	168
2	126	165
3	274	158
4	590	155
5	1649	155
6	3011	155
7	3844	149
8	5247	149

prune16.0ms (0.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	1	29

Error

Counts

29 → 1

Alt Table

Status	Error	Program
✓	0b	(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

Compiler

Compiled 267 to 169 computations (36.7% saved)

regimes48.0ms (1.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

14 → 1

Compiler

Compiled 570 to 476 computations (16.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	7	8

end32.0ms (0.7%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

Details

analyze715.0ms (16.5%)

sample3.3s (75.3%)

simplify44.0ms (1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series6.0ms (0.1%)

rewrite8.0ms (0.2%)

simplify80.0ms (1.8%)

prune44.0ms (1%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite2.0ms (0.1%)

simplify59.0ms (1.4%)

prune16.0ms (0.4%)

regimes48.0ms (1.1%)

simplify2.0ms (0%)

end32.0ms (0.7%)

Profiling