Details

analyze244.0ms (18%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample14.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify109.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1870×	`associate--r-_binary64`
931×	`distribute-rgt-in_binary64`
817×	`distribute-lft-in_binary64`
224×	`unsub-neg_binary64`
223×	`sub-neg_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	29	10
3	63	10
4	125	10
5	242	10
6	460	10
7	581	10
8	1263	10
9	1199	10
10	1365	10
11	1407	10
12	1445	10
13	1445	10
14	1445	10
15	1447	10
16	5554	10

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 x y))

rewrite32.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64` `associate-r_binary64`
4×	`frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip3-+_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 37

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 573 to 145 computations (74.7% saved)

series29.0ms (2.1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

26.0ms

(*.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 161 to 127 computations (21.1% saved)

simplify110.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

513×	`exp-prod_binary64`
330×	`exp-sum_binary64` `unsub-neg_binary64`
272×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
247×	`distribute-rgt-neg-out_binary64`
201×	`sqr-pow_binary64`

Counts

49 → 45

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	748
1	245	706
2	867	706
3	1332	706
4	2539	706
5	4276	706
6	4892	706
7	4953	706

prune17.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 x y))
▶	0.0b	(+.f64 (.f64 x (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 y)))

Compiler

Compiled 434 to 129 computations (70.3% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 y)))
0.0b	(*.f64 (+.f64 y x) (neg.f64 y))
0.0b	(*.f64 x (+.f64 y x))

rewrite68.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-r_binary64`
13×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64`
6×	`associate-r/_binary64` `associate-l/_binary64`

Counts

3 → 70

Calls

3 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 y)))
8.0ms	(*.f64 (+.f64 y x) (neg.f64 y))
6.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 1360 to 267 computations (80.4% saved)

series72.0ms (5.3%)

Error

Counts

3 → 36

Calls

3 calls:

25.0ms	(*.f64 (+.f64 y x) (neg.f64 y))
22.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 y)))
19.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 765 to 489 computations (36.1% saved)

simplify110.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

355×	`neg-sub0_binary64`
351×	`neg-mul-1_binary64`
279×	`sub-neg_binary64`
207×	`associate-+l+_binary64`
205×	`associate-l_binary64`

Counts

106 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1471
1	387	1282
2	1547	1232
3	3953	1232
4	4943	1232
5	4992	1232

prune34.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Error

Counts

93 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 (+.f64 x y) (-.f64 x y))
	0.0b	(+.f64 (.f64 x (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 y)))

Compiler

Compiled 1051 to 245 computations (76.7% saved)

regimes39.0ms (2.9%)

Accuracy

Total 0.0b remaining (70%)

Threshold costs 0.0b (70%)

Compiler

Compiled 249 to 144 computations (42.2% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end1.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample456.0ms (33.7%)

Algorithm

1×

intervals

Results

179.0ms	8000×	body	128	valid
3.0ms	151×	body	128	invalid

Compiler

Compiled 44 to 25 computations (43.2% saved)

Details

analyze244.0ms (18%)

sample14.0ms (1%)

simplify109.0ms (8%)

prune5.0ms (0.4%)

localize5.0ms (0.3%)

rewrite32.0ms (2.4%)

series29.0ms (2.1%)

simplify110.0ms (8.1%)

prune17.0ms (1.2%)

localize9.0ms (0.7%)

rewrite68.0ms (5%)

series72.0ms (5.3%)

simplify110.0ms (8.1%)

prune34.0ms (2.5%)

regimes39.0ms (2.9%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample456.0ms (33.7%)

Profiling