Details

analyze492.0ms (19.9%)

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)

sample31.0ms (1.3%)

Algorithm

1×

intervals

Results

9.0ms	237×	body	128	valid
1.0ms	33×	body	128	invalid
1.0ms	7×	body	512	valid
1.0ms	8×	body	256	valid
1.0ms	4×	body	1024	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify10.0ms (0.4%)

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

prune5.0ms (0.2%)

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

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 69 to 45 computations (34.8% 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))

rewrite9.0ms (0.4%)

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:

5.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
3.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series55.0ms (2.2%)

Counts

2 → 60

Calls

2 calls:

36.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
19.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify88.0ms (3.6%)

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 → 164

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

prune45.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	163	3	166

Error

0.0b

Counts

166 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	28.8b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 1159 to 581 computations (49.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(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))

series34.0ms (1.4%)

Counts

1 → 36

Calls

1 calls:

33.0ms

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

simplify82.0ms (3.3%)

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 → 75

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

prune13.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Error

0.0b

Counts

78 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	28.8b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
▶	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 379 to 199 computations (47.5% saved)

localize8.0ms (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))

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:

2.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
0.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

series65.0ms (2.6%)

Counts

2 → 60

Calls

2 calls:

42.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
23.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

simplify79.0ms (3.2%)

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 → 143

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

prune30.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	143	3	146

Error

0.0b

Counts

146 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
▶	28.8b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 924 to 427 computations (53.8% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
✓	0.0b	(*.f64 d1 (-.f64 3 d2))
✓	9.8b	(.f64 (.f64 d1 d1) (-.f64 9 (*.f64 d2 d2)))
✓	23.4b	(/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2)))

rewrite44.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64`
32×	`add-exp-log_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
24×	`prod-diff_binary64`

Counts

4 → 135

Calls

4 calls:

14.0ms	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
10.0ms	(/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2)))
6.0ms	(.f64 (.f64 d1 d1) (-.f64 9 (*.f64 d2 d2)))
6.0ms	(*.f64 d1 (-.f64 3 d2))

series202.0ms (8.2%)

Counts

4 → 108

Calls

4 calls:

115.0ms	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
44.0ms	(/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2)))
29.0ms	(.f64 (.f64 d1 d1) (-.f64 9 (*.f64 d2 d2)))
14.0ms	(*.f64 d1 (-.f64 3 d2))

simplify178.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

957×	`fma-def_binary64`
324×	`associate-l_binary64`
288×	`times-frac_binary64`
278×	`associate-r_binary64`
169×	`fma-neg_binary64`

Counts

243 → 448

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3961
1	623	3378
2	2850	3284
3	4703	3284
4	4978	3284
5	4875	3284

prune121.0ms (4.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	446	2	448
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	447	4	451

Error

Counts

451 → 4

Alt Table

Status	Error	Program
	14.2b	(+.f64 (/.f64 1 (/.f64 (-.f64 3 d2) (.f64 (-.f64 9 (.f64 d2 d2)) d1))) (*.f64 d1 d3))
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	14.2b	(+.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 d2 2)) d1) (-.f64 3 d2)) (.f64 d1 d3))
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 5744 to 2664 computations (53.6% saved)

regimes113.0ms (4.6%)

Accuracy

Total 0.0b remaining (72.5%)

Threshold costs 0.0b (72.5%)

Compiler

Compiled 1500 to 1012 computations (32.5% 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

end6.0ms (0.2%)

Remove: (sort d2 d3)
Compiler: Compiled 33 to 21 computations (36.4% saved)

sample725.0ms (29.3%)

Algorithm

1×

intervals

Results

300.0ms	7497×	body	128	valid
28.0ms	166×	body	1024	valid
27.0ms	704×	body	128	invalid
22.0ms	206×	body	512	valid
9.0ms	131×	body	256	valid

Compiler

Compiled 91 to 62 computations (31.9% saved)

Details

analyze492.0ms (19.9%)

sample31.0ms (1.3%)

simplify10.0ms (0.4%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

rewrite9.0ms (0.4%)

series55.0ms (2.2%)

simplify88.0ms (3.6%)

prune45.0ms (1.8%)

localize5.0ms (0.2%)

rewrite1.0ms (0%)

series34.0ms (1.4%)

simplify82.0ms (3.3%)

prune13.0ms (0.5%)

localize8.0ms (0.3%)

rewrite4.0ms (0.2%)

series65.0ms (2.6%)

simplify79.0ms (3.2%)

prune30.0ms (1.2%)

localize15.0ms (0.6%)

rewrite44.0ms (1.8%)

series202.0ms (8.2%)

simplify178.0ms (7.2%)

prune121.0ms (4.9%)

regimes113.0ms (4.6%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample725.0ms (29.3%)

Profiling