Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25.7%	74.3%	0
25.7%	0%	74.3%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.0s (82.7%)

Results

763.0ms	5438×	body	128	valid
536.0ms	1019×	body	1024	valid
450.0ms	1048×	body	512	valid
174.0ms	722×	body	256	valid
15.0ms	29×	body	2048	valid

Compiler

Compiled 63 to 46 computations (27% saved)

simplify83.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

512×	`cancel-sign-sub-inv_binary64`
510×	`fma-neg_binary64`
429×	`fma-def_binary64`
372×	`unswap-sqr_binary64`
314×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	45	13
3	143	13
4	475	8
5	1778	8
6	4244	8
7	4680	8
8	4952	8
9	4802	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	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

series6.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 eps (fma.f64 2 x eps))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

(*.f64 eps (fma.f64 2 x eps))

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

613×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
426×	`fma-def_binary64`
354×	`*-commutative_binary64`
330×	`associate-/l/_binary64`

Counts

46 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	507
1	84	413
2	239	413
3	617	413
4	2304	413
5	2439	413
6	3040	413
7	4552	413
8	4968	413

prune22.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	0.0b	(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
	21.2b	(.f64 2 (.f64 eps x))

Compiler

Compiled 382 to 215 computations (43.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
4.0ms	(.f64 2 (.f64 eps x))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64`

Counts

2 → 34

Calls

2 calls:

6.0ms	(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
5.0ms	(.f64 2 (.f64 eps x))

simplify53.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
514×	`associate-l_binary64`
373×	`associate-r_binary64`
301×	`distribute-rgt-out_binary64`
274×	`distribute-rgt-in_binary64`

Counts

40 → 46

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	461
1	164	431
2	506	410
3	1775	410
4	4269	408
5	4971	408

prune27.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
✓	0.0b	(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
▶	21.2b	(.f64 2 (.f64 eps x))

Compiler

Compiled 719 to 455 computations (36.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(.f64 2 (.f64 eps x))

prune11.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	20	3	23

Error

Counts

23 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
✓	0.0b	(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
✓	21.2b	(.f64 2 (.f64 eps x))

Compiler

Compiled 234 to 145 computations (38% saved)

regimes45.0ms (1.8%)

Accuracy

Total 0.0b remaining (65.6%)

Threshold costs 0.0b (65.6%)

Counts

8 → 1

Compiler

Compiled 226 to 159 computations (29.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end43.0ms (1.8%)

Compiler: Compiled 42 to 28 computations (33.3% saved)

Details

analyze2.0ms (0.1%)

sample2.0s (82.7%)

simplify83.0ms (3.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series6.0ms (0.2%)

rewrite7.0ms (0.3%)

simplify79.0ms (3.2%)

prune22.0ms (0.9%)

localize5.0ms (0.2%)

series19.0ms (0.8%)

rewrite12.0ms (0.5%)

simplify53.0ms (2.2%)

prune27.0ms (1.1%)

localize3.0ms (0.1%)

prune11.0ms (0.5%)

regimes45.0ms (1.8%)

simplify2.0ms (0.1%)

end43.0ms (1.8%)

Profiling