Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample729.0ms (48.2%)

Infinites

20.5% of outputs are infinite.

Symmetry

(sort d2 d3)

Results

662.0ms	8224×	body	128	valid
2.0ms	13×	body	512	valid
2.0ms	10×	body	1024	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify13.0ms (0.8%)

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 (0.2%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	2.6b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite10.0ms (0.7%)

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:

9.0ms

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

simplify66.0ms (4.4%)

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

prune87.0ms (5.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

52 → 2

Alt Table

Status	Error	Program
▶	17.4b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 684 to 401 computations (41.4% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.3b	(fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (*.f64 d2 d2))
✓	5.7b	(.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2)))
✓	10.8b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))

series136.0ms (9%)

Counts

3 → 96

Calls

3 calls:

70.0ms

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

58.0ms

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

8.0ms

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

rewrite15.0ms (1%)

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:

8.0ms

(/.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))

simplify125.0ms (8.3%)

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

prune130.0ms (8.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	154	2	156

Error

Counts

156 → 2

Alt Table

Status	Error	Program
✓	17.4b	(/.f64 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2))) (-.f64 d2 (+.f64 d3 37)))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 4581 to 2825 computations (38.3% saved)

regimes122.0ms (8.1%)

Accuracy

Total 0.0b remaining (31.7%)

Threshold costs 0.0b (31.7%)

Counts

24 → 1

Compiler

Compiled 1938 to 1372 computations (29.2% 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

end50.0ms (3.3%)

Remove: (sort d2 d3)
Compiler: Compiled 71 to 49 computations (31% saved)

Details

analyze2.0ms (0.1%)

sample729.0ms (48.2%)

simplify13.0ms (0.8%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series7.0ms (0.5%)

rewrite10.0ms (0.7%)

simplify66.0ms (4.4%)

prune87.0ms (5.8%)

localize10.0ms (0.7%)

series136.0ms (9%)

rewrite15.0ms (1%)

simplify125.0ms (8.3%)

prune130.0ms (8.6%)

regimes122.0ms (8.1%)

simplify2.0ms (0.1%)

end50.0ms (3.3%)

Profiling