Details

analyze1.2s (40.6%)

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
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample793.0ms (27.7%)

Results

683.0ms	8124×	body	128	valid
13.0ms	27×	body	8192	exit
11.0ms	46×	body	1024	valid
11.0ms	37×	body	2048	valid
10.0ms	20×	body	256	valid
5.0ms	29×	body	512	valid
2.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify16.0ms (0.6%)

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

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 200 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize25.0ms (0.9%)

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))

rewrite10.0ms (0.3%)

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 200 (-.f64 x y))

simplify69.0ms (2.4%)

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

prune53.0ms (1.9%)

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
	34.8b	(.f64 (.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))) (*.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))))
▶	0.0b	(*.f64 (-.f64 x y) 200)
	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 1012 to 456 computations (54.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64`
3×	`associate-r_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 24

Calls

1 calls:

5.0ms

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

697×	`unsub-neg_binary64`
688×	`distribute-rgt-neg-out_binary64`
649×	`distribute-rgt-in_binary64`
641×	`distribute-lft-in_binary64`
396×	`fma-def_binary64`

Counts

48 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	411
1	116	387
2	338	387
3	995	387
4	3023	387
5	5135	387

prune29.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

Counts

43 → 4

Alt Table

Status	Error	Program
	34.8b	(.f64 (.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))) (*.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))))
✓	0.0b	(*.f64 (-.f64 x y) 200)
	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
▶	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 499 to 267 computations (46.5% 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))

series4.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

4.0ms

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

rewrite5.0ms (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:

4.0ms

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

simplify55.0ms (1.9%)

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 (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Error

Counts

35 → 4

Alt Table

Status	Error	Program
	34.8b	(.f64 (.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))) (*.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))))
✓	0.0b	(*.f64 (-.f64 x y) 200)
▶	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 437 to 307 computations (29.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 200) (-.f64 x y))
✓	0.3b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))

series23.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))

rewrite31.0ms (1.1%)

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))

simplify175.0ms (6.1%)

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

prune133.0ms (4.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	162	4	166

Error

Counts

166 → 4

Alt Table

Status	Error	Program
	34.8b	(.f64 (.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))) (*.f64 (sqrt.f64 200) (sqrt.f64 (-.f64 x y))))
✓	0.0b	(*.f64 (-.f64 x y) 200)
✓	0.5b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 3536 to 1969 computations (44.3% saved)

regimes124.0ms (4.3%)

Accuracy

Total 0.0b remaining (33.5%)

Threshold costs 0.0b (33.5%)

Counts

27 → 1

Compiler

Compiled 1427 to 1083 computations (24.1% 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

end57.0ms (2%)

Compiler: Compiled 60 to 44 computations (26.7% 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

analyze1.2s (40.6%)

sample793.0ms (27.7%)

simplify16.0ms (0.6%)

prune2.0ms (0.1%)

localize25.0ms (0.9%)

series4.0ms (0.2%)

rewrite10.0ms (0.3%)

simplify69.0ms (2.4%)

prune53.0ms (1.9%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite6.0ms (0.2%)

simplify48.0ms (1.7%)

prune29.0ms (1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify55.0ms (1.9%)

prune19.0ms (0.7%)

localize5.0ms (0.2%)

series23.0ms (0.8%)

rewrite31.0ms (1.1%)

simplify175.0ms (6.1%)

prune133.0ms (4.7%)

regimes124.0ms (4.3%)

simplify2.0ms (0.1%)

end57.0ms (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