Details

analyze498.0ms (21.1%)

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
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (47.8%)

Results

924.0ms	8256×	body	128	valid
100.0ms	987×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify107.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
880×	`div-sub_binary64`
795×	`fma-def_binary64`
774×	`times-frac_binary64`
463×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	57	14
3	172	14
4	408	14
5	1241	11
6	2694	11
7	4033	11
8	4216	11
9	4586	11
10	4475	11
11	4492	11
12	4700	11

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 28

Calls

1 calls:

9.0ms

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

rewrite9.0ms (0.4%)

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:

7.0ms

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

simplify62.0ms (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

prune22.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	1	48

Error

Counts

48 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)

Compiler

Compiled 721 to 311 computations (56.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.5%)

Counts

1 → 18

Calls

1 calls:

11.0ms

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

rewrite46.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

262×	`times-frac_binary64`
211×	`add-sqr-sqrt_binary64`
207×	`*-un-lft-identity_binary64`
199×	`add-cube-cbrt_binary64`
169×	`prod-diff_binary64`

Counts

1 → 219

Calls

1 calls:

16.0ms

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

simplify193.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
492×	`associate-*l/_binary64`
371×	`associate-/l*_binary64`
341×	`fma-neg_binary64`
227×	`unsub-neg_binary64`

Counts

237 → 240

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	4725
1	687	3862
2	1353	2380
3	3980	2379
4	4209	2379
5	4898	2379
6	4705	2379

prune143.0ms (6.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	1	241

Error

Counts

241 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)

Compiler

Compiled 9425 to 2451 computations (74% saved)

regimes78.0ms (3.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

7 → 1

Compiler

Compiled 501 to 372 computations (25.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
2	19	14
3	23	14
4	26	14
5	27	14
6	27	14

end39.0ms (1.7%)

Compiler: Compiled 39 to 27 computations (30.8% saved)

Details

analyze498.0ms (21.1%)

sample1.1s (47.8%)

simplify107.0ms (4.5%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite9.0ms (0.4%)

simplify62.0ms (2.6%)

prune22.0ms (0.9%)

localize6.0ms (0.3%)

series12.0ms (0.5%)

rewrite46.0ms (1.9%)

simplify193.0ms (8.2%)

prune143.0ms (6.1%)

regimes78.0ms (3.3%)

simplify2.0ms (0.1%)

end39.0ms (1.7%)

Profiling