Details

analyze100.0ms (5.1%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample787.0ms (39.9%)

Results

733.0ms	8221×	body	128	valid
5.0ms	71×	body	128	invalid
3.0ms	13×	body	2048	valid
2.0ms	9×	body	1024	valid
1.0ms	6×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

prune1.0ms (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 500 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

series36.0ms (1.8%)

Counts

1 → 24

Calls

1 calls:

36.0ms

(*.f64 500 (-.f64 x y))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

6.0ms

(*.f64 500 (-.f64 x y))

simplify62.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-l_binary64`
436×	`neg-sub0_binary64`
421×	`associate-r_binary64`
419×	`neg-mul-1_binary64`
389×	`fma-neg_binary64`

Counts

74 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	757
1	184	697
2	493	589
3	2165	589
4	3889	589
5	4897	589

prune34.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
	33.5b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
	0.7b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
	33.5b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 1020 to 458 computations (55.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

series4.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

4.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

simplify53.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
509×	`fma-neg_binary64`
469×	`times-frac_binary64`
379×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

23 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	235
1	112	203
2	367	200
3	1082	200
4	2658	199
5	4158	199
6	5138	199

prune19.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Error

Counts

35 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
	33.5b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
▶	0.7b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
	33.5b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 452 to 314 computations (30.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 500) (-.f64 x y))
✓	0.4b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

series23.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
6.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

rewrite30.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
55×	`add-sqr-sqrt_binary64`
54×	`prod-diff_binary64`
51×	`*-un-lft-identity_binary64`

Counts

2 → 131

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

simplify110.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
321×	`*-commutative_binary64`
281×	`exp-prod_binary64`
273×	`distribute-rgt-in_binary64`
255×	`distribute-lft-in_binary64`

Counts

179 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2558
1	279	1974
2	865	1650
3	2311	1642
4	4696	1642
5	4736	1642

prune167.0ms (8.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Error

Counts

165 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
	33.5b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓	0.7b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
▶	33.5b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 3569 to 1988 computations (44.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 500 (-.f64 x y))
✓	0.1b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
✓	0.2b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

series60.0ms (3%)

Counts

2 → 28

Calls

2 calls:

37.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
23.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

rewrite23.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`pow1_binary64`
30×	`sqrt-pow1_binary64`
21×	`pow-prod-down_binary64`
16×	`associate-*r/_binary64`
14×	`sqrt-div_binary64`

Counts

2 → 74

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))
7.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))

simplify120.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-l_binary64`
585×	`fma-neg_binary64`
537×	`associate-r_binary64`
196×	`fma-def_binary64`
186×	`*-commutative_binary64`

Counts

102 → 102

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1468
1	299	1300
2	899	1268
3	3953	1253
4	4852	1233
5	4958	1233

prune126.0ms (6.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	250	4	254

Error

Counts

254 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
	33.5b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓	0.7b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
✓	33.5b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 5760 to 3104 computations (46.1% saved)

regimes113.0ms (5.7%)

Accuracy

Total 0.0b remaining (28.6%)

Threshold costs 0.0b (28.6%)

Counts

21 → 1

Compiler

Compiled 1179 to 875 computations (25.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end56.0ms (2.8%)

Compiler: Compiled 64 to 45 computations (29.7% saved)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Details

analyze100.0ms (5.1%)

sample787.0ms (39.9%)

simplify15.0ms (0.8%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series36.0ms (1.8%)

rewrite9.0ms (0.5%)

simplify62.0ms (3.1%)

prune34.0ms (1.7%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite3.0ms (0.2%)

simplify53.0ms (2.7%)

prune19.0ms (0.9%)

localize5.0ms (0.3%)

series23.0ms (1.2%)

rewrite30.0ms (1.5%)

simplify110.0ms (5.6%)

prune167.0ms (8.4%)

localize5.0ms (0.3%)

series60.0ms (3%)

rewrite23.0ms (1.2%)

simplify120.0ms (6.1%)

prune126.0ms (6.4%)

regimes113.0ms (5.7%)

simplify2.0ms (0.1%)

end56.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7