Details

analyze510.0ms (22.7%)

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)

sample1.3s (56.8%)

Results

1.0s	8256×	body	128	valid
144.0ms	998×	body	128	invalid

Compiler

Compiled 50 to 38 computations (24% saved)

simplify122.0ms (5.4%)

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

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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
	1.1b	(+.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
✓	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)

series12.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(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)

simplify43.0ms (1.9%)

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

prune20.0ms (0.9%)

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
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 4)
✓	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)

Compiler

Compiled 380 to 215 computations (43.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 28

Calls

1 calls:

9.0ms

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

rewrite33.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`

Counts

1 → 40

Calls

1 calls:

31.0ms

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

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

643×	`unsub-neg_binary64`
507×	`times-frac_binary64`
442×	`fma-neg_binary64`
375×	`associate-/l*_binary64`
315×	`distribute-rgt-in_binary64`

Counts

68 → 47

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	759
1	180	727
2	391	727
3	928	727
4	3644	727
5	5109	727

prune21.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 4)
✓	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)

Compiler

Compiled 717 to 309 computations (56.9% saved)

regimes82.0ms (3.6%)

Accuracy

Total 0.0b remaining (39.6%)

Threshold costs 0.0b (39.6%)

Counts

14 → 1

Compiler

Compiled 864 to 658 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

end42.0ms (1.9%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

Details

analyze510.0ms (22.7%)

sample1.3s (56.8%)

simplify122.0ms (5.4%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

series12.0ms (0.5%)

rewrite1.0ms (0%)

simplify43.0ms (1.9%)

prune20.0ms (0.9%)

localize6.0ms (0.3%)

series9.0ms (0.4%)

rewrite33.0ms (1.5%)

simplify59.0ms (2.6%)

prune21.0ms (1%)

regimes82.0ms (3.6%)

simplify2.0ms (0.1%)

end42.0ms (1.9%)

Profiling