Details

analyze556.0ms (25%)

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 17 to 12 computations (29.4% saved)

sample37.0ms (1.7%)

Algorithm

1×

intervals

Results

11.0ms	255×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify10.0ms (0.4%)

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

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

Compiler

Compiled 75 to 51 computations (32% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

8.0ms

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

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 d2 (+.f64 d3 37)))

simplify67.0ms (3%)

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

prune31.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

Counts

52 → 3

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	26.1b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 716 to 423 computations (40.9% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d3 5) d1)
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

series25.0ms (1.1%)

Counts

3 → 96

Calls

3 calls:

11.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
9.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
4.0ms	(*.f64 (+.f64 d3 5) d1)

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 55

Calls

3 calls:

5.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
4.0ms	(*.f64 (+.f64 d3 5) d1)
3.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

simplify95.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
695×	`fma-neg_binary64`
486×	`cancel-sign-sub-inv_binary64`
332×	`*-commutative_binary64`
298×	`associate-+l+_binary64`

Counts

151 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1635
1	348	1544
2	1326	1485
3	3601	1483
4	4941	1483
5	4843	1483

prune67.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Error

Counts

111 → 3

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	26.1b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 2002 to 1189 computations (40.6% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.8b	(fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (*.f64 d2 d2))
✓	7.8b	(.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2)))
✓	16.7b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

series107.0ms (4.8%)

Counts

3 → 96

Calls

3 calls:

66.0ms

(/.f64 (*.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (*.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

32.0ms

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

8.0ms

(fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (*.f64 d2 d2))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 63

Calls

3 calls:

7.0ms

(/.f64 (*.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (*.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

3.0ms

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

0.0ms

(fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (*.f64 d2 d2))

simplify121.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-neg_binary64`
248×	`associate-/l*_binary64`
220×	`cancel-sign-sub-inv_binary64`
202×	`times-frac_binary64`
179×	`sub-neg_binary64`

Counts

159 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	4238
1	738	3715
2	3214	3593
3	4620	3589
4	4967	3589

prune102.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	154	3	157

Error

Counts

157 → 3

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	26.1b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 4597 to 2836 computations (38.3% saved)

regimes195.0ms (8.8%)

Accuracy

Total 0.0b remaining (76%)

Threshold costs 0.0b (76%)

Counts

43 → 1

Compiler

Compiled 3121 to 2199 computations (29.5% 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

end6.0ms (0.3%)

Remove: (sort d2 d3)
Compiler: Compiled 30 to 21 computations (30% saved)

sample725.0ms (32.6%)

Algorithm

1×

intervals

Results

372.0ms	7966×	body	128	valid
31.0ms	647×	body	128	invalid
2.0ms	14×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 77 to 54 computations (29.9% saved)

Details

analyze556.0ms (25%)

sample37.0ms (1.7%)

simplify10.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite8.0ms (0.3%)

simplify67.0ms (3%)

prune31.0ms (1.4%)

localize8.0ms (0.4%)

series25.0ms (1.1%)

rewrite15.0ms (0.7%)

simplify95.0ms (4.3%)

prune67.0ms (3%)

localize11.0ms (0.5%)

series107.0ms (4.8%)

rewrite13.0ms (0.6%)

simplify121.0ms (5.5%)

prune102.0ms (4.6%)

regimes195.0ms (8.8%)

simplify2.0ms (0.1%)

end6.0ms (0.3%)

sample725.0ms (32.6%)

Profiling