Details

analyze490.0ms (24.3%)

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)

sample138.0ms (6.9%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify128.0ms (6.4%)

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
▶	0.1b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
	0.6b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))

Compiler

Compiled 78 to 57 computations (26.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)

series12.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(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)

simplify41.0ms (2%)

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

prune23.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
▶	0.0b	(-.f64 (+.f64 4 (.f64 4 (/.f64 x y))) (.f64 4 (/.f64 z y)))

Compiler

Compiled 390 to 223 computations (42.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series32.0ms (1.6%)

Counts

3 → 27

Calls

3 calls:

19.0ms	(-.f64 (+.f64 4 (.f64 4 (/.f64 x y))) (.f64 4 (/.f64 z y)))
7.0ms	(*.f64 4 (/.f64 x y))
7.0ms	(*.f64 4 (/.f64 z y))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

3 → 92

Calls

3 calls:

9.0ms	(*.f64 4 (/.f64 x y))
5.0ms	(-.f64 (+.f64 4 (.f64 4 (/.f64 x y))) (.f64 4 (/.f64 z y)))
5.0ms	(*.f64 4 (/.f64 z y))

simplify81.0ms (4%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-l_binary64`
387×	`associate-*r/_binary64`
376×	`times-frac_binary64`
358×	`associate-*l/_binary64`
356×	`fma-def_binary64`

Counts

119 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1541
1	456	1467
2	1337	1423
3	4502	1423
4	5020	1423

prune85.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Error

Counts

137 → 2

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
✓	0.0b	(-.f64 (+.f64 4 (.f64 4 (/.f64 x y))) (.f64 4 (/.f64 z y)))

Compiler

Compiled 2723 to 1529 computations (43.8% saved)

regimes153.0ms (7.6%)

Accuracy

Total 0.0b remaining (56.9%)

Threshold costs 0.0b (56.9%)

Counts

20 → 1

Compiler

Compiled 1244 to 948 computations (23.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	15	11
3	17	11
4	18	11
5	18	11

end0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample787.0ms (39.1%)

Algorithm

1×

intervals

Results

397.0ms	8000×	body	128	valid
48.0ms	907×	body	128	invalid

Compiler

Compiled 58 to 44 computations (24.1% saved)

Details

analyze490.0ms (24.3%)

sample138.0ms (6.9%)

simplify128.0ms (6.4%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

series12.0ms (0.6%)

rewrite1.0ms (0%)

simplify41.0ms (2%)

prune23.0ms (1.1%)

localize8.0ms (0.4%)

series32.0ms (1.6%)

rewrite24.0ms (1.2%)

simplify81.0ms (4%)

prune85.0ms (4.2%)

regimes153.0ms (7.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample787.0ms (39.1%)

Profiling