Details

analyze500.0ms (23.2%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample129.0ms (6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify114.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

724×	`div-sub_binary64`
708×	`fma-neg_binary64`
609×	`sub-neg_binary64`
598×	`times-frac_binary64`
477×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	125	15
4	274	15
5	564	11
6	1031	11
7	1668	11
8	2410	11
9	3506	11
10	4269	11
11	4538	11
12	4833	11
13	4950	11
14	4672	11

prune4.0ms (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
▶	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
	0.3b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))

Compiler

Compiled 78 to 57 computations (26.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)

series13.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(fma.f64 (/.f64 4 y) (-.f64 x z) 4)

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 (/.f64 4 y) (-.f64 x z) 4)

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

867×	`associate-*l/_binary64`
335×	`distribute-lft-in_binary64`
335×	`distribute-rgt-in_binary64`
242×	`associate-/l*_binary64`
196×	`distribute-lft-neg-out_binary64`

Counts

46 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	575
1	61	498
2	126	496
3	370	496
4	1797	496
5	5240	496

prune22.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
▶	0.3b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))

Compiler

Compiled 390 to 223 computations (42.8% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
✓	0.0b	(+.f64 x (*.f64 y 3/4))
✓	0.3b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)

series24.0ms (1.1%)

Counts

3 → 96

Calls

3 calls:

15.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)
5.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
3.0ms	(+.f64 x (*.f64 y 3/4))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
9×	`prod-diff_binary64`

Counts

3 → 73

Calls

3 calls:

9.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)
4.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
2.0ms	(+.f64 x (*.f64 y 3/4))

simplify94.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

576×	`distribute-rgt-in_binary64`
560×	`distribute-lft-in_binary64`
512×	`fma-def_binary64`
268×	`times-frac_binary64`
158×	`fma-neg_binary64`

Counts

169 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1894
1	380	1660
2	1320	1564
3	4782	1564
4	4999	1564
5	4911	1564

prune89.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Error

0.0b

Counts

136 → 2

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
✓	0.3b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))

Compiler

Compiled 2616 to 1703 computations (34.9% saved)

regimes171.0ms (7.9%)

Accuracy

Total -0.0b remaining (-0.6%)

Threshold costs -0.0b (-0.6%)

Counts

34 → 1

Compiler

Compiled 2126 to 1645 computations (22.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	18	13
3	20	13
4	21	13
5	21	13

end0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

sample921.0ms (42.7%)

Algorithm

1×

intervals

Results

559.0ms	8000×	body	128	valid
42.0ms	882×	body	128	invalid

Compiler

Compiled 59 to 45 computations (23.7% saved)

Details

analyze500.0ms (23.2%)

sample129.0ms (6%)

simplify114.0ms (5.3%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

series13.0ms (0.6%)

rewrite1.0ms (0%)

simplify40.0ms (1.8%)

prune22.0ms (1%)

localize10.0ms (0.5%)

series24.0ms (1.1%)

rewrite19.0ms (0.9%)

simplify94.0ms (4.4%)

prune89.0ms (4.1%)

regimes171.0ms (7.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample921.0ms (42.7%)

Profiling