Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample795.0ms (59.8%)

Results

768.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
2.0ms	(/.f64 1 (-.f64 x 1))
2.0ms	(/.f64 x (+.f64 x 1))

rewrite243.0ms (18.3%)

Algorithm

3×	egg-rewrite

Rules

85×	`egg`
50×	`egg`
44×	`egg`

Counts

3 → 179

Calls

3 calls:

93.0ms	(/.f64 1 (-.f64 x 1))
80.0ms	(/.f64 x (+.f64 x 1))
67.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1241	7
3	4766	7
4	5525	7
0	5	7
1	109	7
2	1405	7
3	4960	7
4	5167	7
0	8	16
1	193	16
2	2777	16
3	5584	16

simplify68.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-neg_binary64`
468×	`unswap-sqr_binary64`
456×	`cancel-sign-sub-inv_binary64`
433×	`associate-l_binary64`
316×	`associate-r_binary64`

Counts

215 → 217

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	488
1	179	470
2	524	457
3	1452	453
4	3893	453
5	4965	453

prune128.0ms (9.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	216	2	218

Error

Counts

218 → 2

Alt Table

Status	Error	Program
▶	32.6b	(fma.f64 x (*.f64 x -2) -1)
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 3763 to 2817 computations (25.1% saved)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	32.6b	(fma.f64 x (*.f64 x -2) -1)
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes21.0ms (1.6%)

Accuracy

Total 0.0b remaining (51.5%)

Threshold costs 0.0b (51.5%)

Counts

11 → 1

Compiler

Compiled 230 to 176 computations (23.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

end41.0ms (3.1%)

Compiler: Compiled 43 to 32 computations (25.6% saved)

Details

analyze5.0ms (0.4%)

sample795.0ms (59.8%)

simplify6.0ms (0.4%)

prune2.0ms (0.2%)

localize6.0ms (0.5%)

series7.0ms (0.6%)

rewrite243.0ms (18.3%)

simplify68.0ms (5.1%)

prune128.0ms (9.6%)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

regimes21.0ms (1.6%)

simplify2.0ms (0.1%)

end41.0ms (3.1%)

Profiling