Details

analyze470.0ms (15.1%)

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
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.4s (45.9%)

Symmetry

(sort d2 d3)

Results

1.3s	8199×	body	128	valid
84.0ms	696×	body	128	invalid
6.0ms	26×	body	512	valid
4.0ms	14×	body	1024	valid
3.0ms	17×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

prune9.0ms (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
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series9.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 26

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-rgt-in_binary64`
953×	`distribute-lft-in_binary64`
416×	`associate-l_binary64`
318×	`associate-r_binary64`
261×	`fma-def_binary64`

Counts

62 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	687
1	163	645
2	700	643
3	4006	643
4	4316	643
5	5142	643

prune34.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	29.7b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))
▶	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))

Compiler

Compiled 710 to 419 computations (41% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
✓	0.0b	(+.f64 (.f64 d1 d3) (.f64 37 d1))

series15.0ms (0.5%)

Counts

2 → 54

Calls

2 calls:

9.0ms	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
6.0ms	(+.f64 (.f64 d1 d3) (.f64 37 d1))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`+-commutative_binary64`
2×	`flip-+_binary64`
2×	`*-un-lft-identity_binary64`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+.f64 (.f64 d1 d3) (.f64 37 d1))
5.0ms	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

539×	`fma-def_binary64`
530×	`associate-l_binary64`
468×	`fma-neg_binary64`
410×	`associate-r_binary64`
378×	`distribute-rgt-in_binary64`

Counts

84 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	918
1	233	834
2	852	826
3	3375	821
4	4728	821
5	5046	821

prune40.0ms (1.3%)

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
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	29.7b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))
✓	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))

Compiler

Compiled 1031 to 523 computations (49.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	0.1b	(sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))))
✓	0.3b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))

series407.0ms (13.1%)

Counts

2 → 40

Calls

2 calls:

243.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))))
164.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`pow1_binary64`
30×	`sqrt-pow1_binary64`
21×	`pow-prod-down_binary64`
16×	`associate-*r/_binary64`
14×	`sqrt-div_binary64`

Counts

2 → 74

Calls

2 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))
7.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))))

simplify85.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

817×	`distribute-rgt-in_binary64`
795×	`distribute-lft-in_binary64`
370×	`fma-def_binary64`
115×	`unswap-sqr_binary64`
104×	`associate-r_binary64`

Counts

114 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1904
1	317	1753
2	1139	1646
3	4971	1646
4	4982	1646

prune161.0ms (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	257	3	260

Error

Counts

260 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	29.7b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))
✓	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))

Compiler

Compiled 6263 to 4077 computations (34.9% saved)

regimes174.0ms (5.6%)

Accuracy

Total 0.0b remaining (54.5%)

Threshold costs 0.0b (54.5%)

Counts

33 → 1

Compiler

Compiled 2349 to 1665 computations (29.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end59.0ms (1.9%)

Remove: (sort d2 d3)
Compiler: Compiled 84 to 58 computations (31% saved)

Details

analyze470.0ms (15.1%)

sample1.4s (45.9%)

simplify10.0ms (0.3%)

prune9.0ms (0.3%)

localize5.0ms (0.1%)

series9.0ms (0.3%)

rewrite7.0ms (0.2%)

simplify73.0ms (2.4%)

prune34.0ms (1.1%)

localize7.0ms (0.2%)

series15.0ms (0.5%)

rewrite13.0ms (0.4%)

simplify72.0ms (2.3%)

prune40.0ms (1.3%)

localize8.0ms (0.3%)

series407.0ms (13.1%)

rewrite27.0ms (0.9%)

simplify85.0ms (2.7%)

prune161.0ms (5.2%)

regimes174.0ms (5.6%)

simplify2.0ms (0.1%)

end59.0ms (1.9%)

Profiling