Details

analyze498.0ms (23%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (50.3%)

Results

960.0ms	8256×	body	128	valid
112.0ms	944×	body	128	invalid

Compiler

Compiled 34 to 26 computations (23.5% saved)

preprocess41.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

588×	`fma-def_binary64`
496×	`associate-/l*_binary64`
407×	`fma-neg_binary64`
332×	`distribute-rgt-in_binary64`
321×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	70	68
2	179	60
3	503	60
4	1216	56
5	2912	52
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
608×	`associate-/l*_binary64`
410×	`fma-neg_binary64`
310×	`div-sub_binary64`
285×	`associate-/r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	142	15
4	341	14
5	759	11
6	2089	11

Stop Event

1×	node limit

Counts

1 → 2

prune7.0ms (0.3%)

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
	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
▶	0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Compiler

Compiled 78 to 57 computations (26.9% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

series14.0ms (0.6%)

Counts

1 → 36

Calls

9 calls:

2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)	z	0
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)	x	0
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)	x	inf
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)	z	inf
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)	z	-inf

rewrite50.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`fma-def_binary64`
260×	`fma-neg_binary64`
230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
124×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	253	14
2	3663	14

Stop Event

1×	node limit

Counts

1 → 43

simplify28.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-def_binary64`
528×	`associate-/r*_binary64`
473×	`times-frac_binary64`
434×	`associate-/l*_binary64`
282×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	523
1	68	415
2	141	358
3	240	353
4	467	353
5	1276	353

Stop Event

1×	node limit

Counts

79 → 56

prune45.0ms (2.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	1	58

Error

Counts

58 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 1 (-.f64 (+.f64 (.f64 4 (/.f64 x y)) 1) (.f64 4 (/.f64 z y))))

Compiler

Compiled 926 to 595 computations (35.7% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 z y))
✓	0.0b	(*.f64 4 (/.f64 x y))

series15.0ms (0.7%)

Counts

2 → 0

Calls

12 calls:

4.0ms	(*.f64 4 (/.f64 x y))	x	0
1.0ms	(*.f64 4 (/.f64 z y))	z	0
1.0ms	(*.f64 4 (/.f64 x y))	x	inf
1.0ms	(*.f64 4 (/.f64 x y))	x	-inf
1.0ms	(*.f64 4 (/.f64 z y))	z	-inf

rewrite43.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
253×	`pow2_binary64`
177×	`pow1/3_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	193	14
2	2540	14

Stop Event

1×	node limit

Counts

2 → 52

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

prune30.0ms (1.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	1	53

Error

Counts

53 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 1 (-.f64 (+.f64 (.f64 4 (/.f64 x y)) 1) (.f64 4 (/.f64 z y))))

Compiler

Compiled 977 to 654 computations (33.1% saved)

regimes216.0ms (10%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

31 → 1

Compiler

Compiled 2453 to 1887 computations (23.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	25	22
2	34	22
3	40	22
4	45	22
5	48	22
6	49	22

Stop Event

1×

saturated

end43.0ms (2%)

Stop Event

1×

done

Compiler

Compiled 54 to 42 computations (22.2% saved)

Details

analyze498.0ms (23%)

sample1.1s (50.3%)

preprocess41.0ms (1.9%)

simplify20.0ms (0.9%)

prune7.0ms (0.3%)

localize8.0ms (0.3%)

series14.0ms (0.6%)

rewrite50.0ms (2.3%)

simplify28.0ms (1.3%)

prune45.0ms (2.1%)

localize8.0ms (0.4%)

series15.0ms (0.7%)

rewrite43.0ms (2%)

simplify6.0ms (0.3%)

prune30.0ms (1.4%)

regimes216.0ms (10%)

simplify3.0ms (0.1%)

end43.0ms (2%)

Profiling