Details

analyze105.0ms (5.7%)

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
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)

sample710.0ms (38.3%)

Results

638.0ms	8099×	body	128	valid
11.0ms	42×	body	2048	valid
10.0ms	51×	body	1024	valid
7.0ms	43×	body	512	valid
4.0ms	61×	body	128	invalid
2.0ms	21×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify16.0ms (0.9%)

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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 200 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(*.f64 200 (-.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:

5.0ms

(*.f64 200 (-.f64 x y))

simplify68.0ms (3.7%)

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

prune45.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Error

Counts

59 → 3

Alt Table

Status	Error	Program
	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
▶	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 992 to 448 computations (54.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

series5.0ms (0.3%)

Counts

1 → 6

Calls

1 calls:

5.0ms

(-.f64 (*.f64 200 x) (*.f64 200 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 200 x) (*.f64 200 y))

simplify56.0ms (3%)

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

prune18.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Alt Table

Status	Error	Program
	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
▶	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 424 to 304 computations (28.3% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 200) (-.f64 x y))
✓	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))

series29.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
9.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

rewrite30.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 132

Calls

2 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
6.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

simplify100.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-rgt-neg-out_binary64`
432×	`*-commutative_binary64`
405×	`distribute-rgt-in_binary64`
379×	`distribute-lft-in_binary64`
350×	`fma-def_binary64`

Counts

180 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2183
1	339	1958
2	1053	1634
3	3195	1634
4	5261	1634

prune103.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status	Error	Program
▶	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
✓	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 4118 to 2532 computations (38.5% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 200) (-.f64 x y))
✓	0.3b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))

series20.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
6.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))

rewrite28.0ms (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:

11.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))

simplify111.0ms (6%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-neg-out_binary64`
380×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`
345×	`*-commutative_binary64`
282×	`fma-neg_binary64`

Counts

179 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2151
1	288	1974
2	946	1650
3	2819	1642
4	4861	1642
5	4737	1642

prune79.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	162	3	165

Error

Counts

165 → 3

Alt Table

Status	Error	Program
✓	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
✓	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 3526 to 1965 computations (44.3% saved)

regimes192.0ms (10.3%)

Accuracy

Total 0.0b remaining (78.9%)

Threshold costs 0.0b (78.9%)

Counts

42 → 1

Compiler

Compiled 2457 to 1697 computations (30.9% 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

end96.0ms (5.2%)

Compiler: Compiled 50 to 40 computations (20% 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

analyze105.0ms (5.7%)

sample710.0ms (38.3%)

simplify16.0ms (0.9%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite9.0ms (0.5%)

simplify68.0ms (3.7%)

prune45.0ms (2.4%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify56.0ms (3%)

prune18.0ms (0.9%)

localize9.0ms (0.5%)

series29.0ms (1.6%)

rewrite30.0ms (1.6%)

simplify100.0ms (5.4%)

prune103.0ms (5.6%)

localize7.0ms (0.4%)

series20.0ms (1.1%)

rewrite28.0ms (1.5%)

simplify111.0ms (6%)

prune79.0ms (4.2%)

regimes192.0ms (10.3%)

simplify2.0ms (0.1%)

end96.0ms (5.2%)

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