Details

analyze456.0ms (16.6%)

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%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (42.4%)

Symmetry

(sort d2 d3)

Results

901.0ms	7753×	body	128	valid
85.0ms	725×	body	128	invalid
59.0ms	166×	body	1024	valid
52.0ms	203×	body	512	valid
24.0ms	134×	body	256	valid

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-+r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	10
3	64	10
4	66	10
5	67	10
6	67	10

prune3.0ms (0.1%)

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
▶	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series9.0ms (0.3%)

Counts

1 → 28

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite8.0ms (0.3%)

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 3 (+.f64 d2 d3)))

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

949×	`distribute-rgt-in_binary64`
943×	`distribute-lft-in_binary64`
503×	`fma-neg_binary64`
394×	`associate-l_binary64`
294×	`associate-r_binary64`

Counts

54 → 48

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	601
1	162	559
2	683	559
3	2795	559
4	3172	559
5	4459	559
6	4975	559

prune35.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Status	Error	Program
	24.5b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	31.9b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 751 to 411 computations (45.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series15.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
6.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
5×	`fma-def_binary64`
4×	`distribute-lft-out_binary64`
4×	`sum-log_binary64`
3×	`*-un-lft-identity_binary64`

Counts

2 → 35

Calls

2 calls:

9.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
3.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify80.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
622×	`associate-l_binary64`
565×	`fma-neg_binary64`
495×	`associate-r_binary64`
492×	`distribute-rgt-in_binary64`

Counts

95 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	934
1	232	892
2	893	888
3	4255	888
4	4992	888
5	5184	888

prune61.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	67	3	70

Error

Counts

70 → 3

Alt Table

Status	Error	Program
	0.1b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
▶	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	31.9b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 1160 to 583 computations (49.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))

series15.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

15.0ms

(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1013×	`distribute-rgt-in_binary64`
985×	`distribute-lft-in_binary64`
731×	`associate-l_binary64`
686×	`associate-r_binary64`
359×	`fma-def_binary64`

Counts

46 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	494
1	50	460
2	122	460
3	567	460
4	4360	460
5	4533	460
6	4978	460
7	4994	460

prune19.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

Counts

30 → 3

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	31.9b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 395 to 207 computations (47.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
✓	0.1b	(fma.f64 d1 3 (*.f64 d1 d2))

series31.0ms (1.1%)

Counts

2 → 60

Calls

2 calls:

26.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
5.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
3×	`fma-def_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
1.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

simplify74.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

488×	`distribute-rgt-out_binary64`
384×	`distribute-lft-out_binary64`
339×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`
279×	`sub-neg_binary64`

Counts

87 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	870
1	143	811
2	489	808
3	2242	807
4	4661	807
5	5007	807

prune42.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	31.9b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 892 to 411 computations (53.9% saved)

regimes408.0ms (14.9%)

Accuracy

Total 0.0b remaining (75.4%)

Threshold costs 0.0b (75.4%)

Counts

56 → 1

Compiler

Compiled 3646 to 2370 computations (35% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

end122.0ms (4.5%)

Remove: (sort d2 d3)
Compiler: Compiled 98 to 61 computations (37.8% saved)

Details

analyze456.0ms (16.6%)

sample1.2s (42.4%)

simplify9.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite8.0ms (0.3%)

simplify70.0ms (2.6%)

prune35.0ms (1.3%)

localize7.0ms (0.3%)

series15.0ms (0.5%)

rewrite13.0ms (0.5%)

simplify80.0ms (2.9%)

prune61.0ms (2.2%)

localize6.0ms (0.2%)

series15.0ms (0.5%)

rewrite1.0ms (0%)

simplify78.0ms (2.8%)

prune19.0ms (0.7%)

localize7.0ms (0.3%)

series31.0ms (1.1%)

rewrite4.0ms (0.2%)

simplify74.0ms (2.7%)

prune42.0ms (1.5%)

regimes408.0ms (14.9%)

simplify3.0ms (0.1%)

end122.0ms (4.5%)

Profiling