Details

analyze53.0ms (1.9%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (38.5%)

Results

783.0ms	8250×	body	128	valid
1.0ms	1×	body	512	valid
1.0ms	3×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify265.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

1222×	`fma-neg_binary64`
983×	`fma-def_binary64`
688×	`div-sub_binary64`
423×	`sub-neg_binary64`
412×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	35	13
3	74	13
4	151	13
5	245	13
6	641	13
7	1125	13
8	2158	13
9	2729	13
10	3037	13
11	2995	13
12	3049	13
13	3063	13
14	3569	13
15	3559	13
16	3559	13
17	3559	13
18	3559	13
19	3559	13
20	3655	13
21	3703	13
22	3785	13
23	3593	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series19.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

19.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`

Counts

1 → 60

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
518×	`times-frac_binary64`
339×	`fma-neg_binary64`
291×	`distribute-rgt-in_binary64`
228×	`cancel-sign-sub-inv_binary64`

Counts

84 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2433
1	635	2369
2	2115	2256
3	4853	2256
4	5045	2256

prune78.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	2	110

Error

Counts

110 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
▶	30.7b	(-.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x))))) (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3)))

Status

Error

Program

✓

0.0b

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

▶

30.7b

(-.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x))))) (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3)))

Compiler

Compiled 2678 to 1393 computations (48% saved)

localize22.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.8b	(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3))
✓	7.1b	(fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x)))))
✓	7.4b	(/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3))
✓	8.3b	(/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))

series147.0ms (5.2%)

Counts

4 → 84

Calls

4 calls:

44.0ms	(/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3))
42.0ms	(/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))
33.0ms	(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3))
28.0ms	(fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x)))))

rewrite57.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

124×	`times-frac_binary64`
105×	`unpow-prod-down_binary64`
100×	`*-un-lft-identity_binary64`
100×	`add-sqr-sqrt_binary64`
66×	`add-cube-cbrt_binary64`

Counts

4 → 236

Calls

4 calls:

24.0ms	(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3))
7.0ms	(/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))
6.0ms	(/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3))
0.0ms	(fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x)))))

simplify183.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

601×	`times-frac_binary64`
489×	`fma-def_binary64`
447×	`associate-/l*_binary64`
309×	`associate-/r*_binary64`
141×	`fma-neg_binary64`

Counts

320 → 333

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	561	9112
1	1412	8553
2	4955	8551
3	5038	8551

prune486.0ms (17.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	333	0	333
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	333	2	335

Error

Counts

335 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
✓	30.7b	(-.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x))))) (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3)))

Status

Error

Program

✓

0.0b

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

✓

30.7b

(-.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) x (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)) x (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x))))) (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3)))

Compiler

Compiled 22915 to 15874 computations (30.7% saved)

regimes253.0ms (9%)

Accuracy

Total 0.0b remaining (14.4%)

Threshold costs 0.0b (14.4%)

Counts

65 → 1

Compiler

Compiled 6715 to 4582 computations (31.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	24	13
3	32	13
4	36	13
5	37	13
6	37	13

end58.0ms (2.1%)

Compiler: Compiled 92 to 63 computations (31.5% saved)

Details

analyze53.0ms (1.9%)

sample1.1s (38.5%)

simplify265.0ms (9.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series19.0ms (0.7%)

rewrite14.0ms (0.5%)

simplify88.0ms (3.1%)

prune78.0ms (2.8%)

localize22.0ms (0.8%)

series147.0ms (5.2%)

rewrite57.0ms (2%)

simplify183.0ms (6.5%)

prune486.0ms (17.2%)

regimes253.0ms (9%)

simplify3.0ms (0.1%)

end58.0ms (2.1%)

Profiling