Details

analyze8.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.1s (66.4%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 84 to 55 computations (34.5% saved)

simplify22.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-/r*_binary64`
513×	`distribute-rgt-in_binary64`
416×	`associate-/r/_binary64`
349×	`fma-def_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1316	13
4	3585	13

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (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

4.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	45.3b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
▶	4.6b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

Compiler

Compiled 107 to 74 computations (30.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
✓	8.8b	(/.f64 i (pow.f64 i 3))

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
2.0ms	(/.f64 i (pow.f64 i 3))

rewrite42.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`log-prod_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`
168×	`pow1/3_binary64`
150×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	211	14
2	2654	14

Stop Event

1×	node limit

Counts

2 → 68

Calls

2 calls:

41.0ms	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
41.0ms	(/.f64 i (pow.f64 i 3))

simplify32.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-l_binary64`
438×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
320×	`cancel-sign-sub-inv_binary64`
291×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	273
1	104	271
2	285	267
3	1068	267
4	4284	267

Stop Event

1×	node limit

Counts

92 → 85

prune74.0ms (4.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Error

Counts

87 → 3

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
	5.0b	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
	31.3b	(.f64 i (.f64 i -1/4))

Compiler

Compiled 1095 to 867 computations (20.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
✓	0.7b	(/.f64 1 (pow.f64 i 2))

series5.0ms (0.3%)

Counts

2 → 12

Calls

2 calls:

3.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
2.0ms	(/.f64 1 (pow.f64 i 2))

rewrite42.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

386×	`log-prod_binary64`
246×	`pow2_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
168×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	224	14
2	2581	14

Stop Event

1×	node limit

Counts

2 → 61

Calls

2 calls:

41.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
41.0ms	(/.f64 1 (pow.f64 i 2))

simplify30.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

448×	`associate-l_binary64`
438×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
320×	`cancel-sign-sub-inv_binary64`
291×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	189
1	104	187
2	285	183
3	1067	183
4	4298	183

Stop Event

1×	node limit

Counts

73 → 76

prune48.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
▶	5.0b	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
	31.3b	(.f64 i (.f64 i -1/4))

Compiler

Compiled 920 to 782 computations (15% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
✓	9.0b	(*.f64 i (pow.f64 i -3))

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
2.0ms	(*.f64 i (pow.f64 i -3))

rewrite41.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`log-prod_binary64`
255×	`pow2_binary64`
177×	`expm1-udef_binary64`
177×	`log1p-udef_binary64`
173×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	211	14
2	2592	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

2 calls:

40.0ms	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
40.0ms	(*.f64 i (pow.f64 i -3))

simplify33.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-l_binary64`
438×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
320×	`cancel-sign-sub-inv_binary64`
291×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	273
1	104	271
2	285	267
3	1068	267
4	4284	267

Stop Event

1×	node limit

Counts

69 → 62

prune41.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
✓	5.0b	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
▶	31.3b	(.f64 i (.f64 i -1/4))

Compiler

Compiled 761 to 653 computations (14.2% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
✓	5.0b	(/.f64 1/4 (-.f64 4 (*.f64 i (pow.f64 i -3))))
✓	31.3b	(.f64 i (.f64 i -1/4))

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes35.0ms (2.1%)

Accuracy

Total 0.3b remaining (98.4%)

Threshold costs 0.3b (98.4%)

Counts

12 → 1

Compiler

Compiled 360 to 265 computations (26.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
2	20	13
3	22	13
4	23	13

Stop Event

1×

saturated

end81.0ms (4.8%)

Compiler: Compiled 46 to 39 computations (15.2% saved)

Details

analyze8.0ms (0.5%)

sample1.1s (66.4%)

simplify22.0ms (1.3%)

prune4.0ms (0.3%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite42.0ms (2.5%)

simplify32.0ms (1.9%)

prune74.0ms (4.3%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite42.0ms (2.5%)

simplify30.0ms (1.8%)

prune48.0ms (2.8%)

localize6.0ms (0.3%)

series5.0ms (0.3%)

rewrite41.0ms (2.4%)

simplify33.0ms (1.9%)

prune41.0ms (2.4%)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

regimes35.0ms (2.1%)

simplify2.0ms (0.1%)

end81.0ms (4.8%)

Profiling