Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.1s (56.4%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	26	7
5	36	7
6	46	7
7	61	7
8	68	7
9	71	7
10	72	7
11	52	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(/.f64 x (-.f64 1 x))

rewrite101.0ms (5%)

Algorithm

2×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
257×	`log-prod_binary64`
239×	`prod-diff_binary64`
96×	`expm1-udef_binary64`

Counts

1 → 39

Calls

1 calls:

99.0ms

(/.f64 x (-.f64 1 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1412	7
3	4847	7
4	5037	7
0	0	0
1	0	0

simplify77.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary64`
529×	`associate-l_binary64`
508×	`div-sub_binary64`
406×	`cancel-sign-sub-inv_binary64`
368×	`associate-r_binary64`

Counts

51 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	71	132
2	198	125
3	501	125
4	1224	125
5	2949	125
6	4207	125
7	4933	125

prune54.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Alt Table

Status	Error	Program
▶	16.8b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 567 to 390 computations (31.2% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	16.1b	(/.f64 x (-.f64 1 (*.f64 x x)))

series13.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(/.f64 x (-.f64 1 (*.f64 x x)))
4.0ms	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
4.0ms	(-.f64 1 (*.f64 x x))

rewrite149.0ms (7.3%)

Algorithm

2×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
298×	`fma-def_binary64`
167×	`egg-rr`
166×	`fma-neg_binary64`
156×	`log1p-udef_binary64`

Counts

3 → 167

Calls

3 calls:

142.0ms	(-.f64 1 (*.f64 x x))
142.0ms	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
142.0ms	(/.f64 x (-.f64 1 (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	187	24
2	2490	24
3	4800	24
4	4949	24
0	0	0
1	0	0

simplify127.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
562×	`div-sub_binary64`
555×	`fma-def_binary64`
413×	`sub-neg_binary64`
311×	`cancel-sign-sub-inv_binary64`

Counts

203 → 199

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	418
1	131	388
2	387	379
3	970	379
4	2313	379
5	3635	379
6	4313	379
7	4920	379

prune186.0ms (9.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	199	2	201

Error

Counts

201 → 2

Alt Table

Status	Error	Program
✓	16.8b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 3442 to 2009 computations (41.6% saved)

regimes57.0ms (2.8%)

Accuracy

Total 0.0b remaining (60.9%)

Threshold costs 0.0b (60.9%)

Counts

18 → 1

Compiler

Compiled 308 to 204 computations (33.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	15	7
4	16	7
5	15	7

end74.0ms (3.6%)

Compiler: Compiled 30 to 20 computations (33.3% saved)

Details

analyze5.0ms (0.2%)

sample1.1s (56.4%)

simplify17.0ms (0.8%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite101.0ms (5%)

simplify77.0ms (3.8%)

prune54.0ms (2.6%)

localize11.0ms (0.5%)

series13.0ms (0.6%)

rewrite149.0ms (7.3%)

simplify127.0ms (6.3%)

prune186.0ms (9.2%)

regimes57.0ms (2.8%)

simplify4.0ms (0.2%)

end74.0ms (3.6%)

Profiling