Details

analyze195.0ms (6.8%)

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)

sample1.3s (43.8%)

Results

1.2s	8218×	body	128	valid
12.0ms	78×	body	128	invalid
7.0ms	6×	body	2048	valid
7.0ms	17×	body	1024	valid
7.0ms	10×	body	512	valid
1.0ms	5×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify28.0ms (1%)

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

prune3.0ms (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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite20.0ms (0.7%)

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:

12.0ms

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

simplify92.0ms (3.2%)

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

prune59.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	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))
✓	0.0b	(*.f64 500 (-.f64 x y))
	34.2b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 997 to 443 computations (55.6% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

Counts

1 → 6

Calls

1 calls:

9.0ms

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

rewrite6.0ms (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:

5.0ms

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

simplify65.0ms (2.3%)

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

prune34.0ms (1.2%)

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
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
	34.2b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
▶	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 429 to 299 computations (30.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series41.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

23.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
18.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

rewrite50.0ms (1.8%)

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:

17.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
12.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

simplify188.0ms (6.6%)

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	2666
1	279	2082
2	865	1920
3	2311	1642
4	4696	1642
5	4736	1642

prune168.0ms (5.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

165 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	34.2b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 3546 to 1973 computations (44.4% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series54.0ms (1.9%)

Counts

2 → 28

Calls

2 calls:

35.0ms	(*.f64 500 (sqrt.f64 (-.f64 x y)))
19.0ms	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-r_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
11×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64`

Counts

2 → 61

Calls

2 calls:

18.0ms	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
11.0ms	(*.f64 500 (sqrt.f64 (-.f64 x y)))

simplify167.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
351×	`times-frac_binary64`
336×	`fma-neg_binary64`
242×	`*-commutative_binary64`
222×	`cancel-sign-sub-inv_binary64`

Counts

89 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1289
1	358	1205
2	958	1201
3	2535	1199
4	4846	1199
5	4985	1199
6	4918	1199

prune75.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	91	4	95

Error

Counts

95 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	34.2b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 1823 to 737 computations (59.6% saved)

regimes175.0ms (6.1%)

Accuracy

Total 0.0b remaining (50.1%)

Threshold costs 0.0b (50.1%)

Counts

16 → 1

Compiler

Compiled 970 to 690 computations (28.9% saved)

simplify4.0ms (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

end101.0ms (3.5%)

Compiler: Compiled 56 to 40 computations (28.6% 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

analyze195.0ms (6.8%)

sample1.3s (43.8%)

simplify28.0ms (1%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series7.0ms (0.2%)

rewrite20.0ms (0.7%)

simplify92.0ms (3.2%)

prune59.0ms (2.1%)

localize8.0ms (0.3%)

series9.0ms (0.3%)

rewrite6.0ms (0.2%)

simplify65.0ms (2.3%)

prune34.0ms (1.2%)

localize10.0ms (0.3%)

series41.0ms (1.4%)

rewrite50.0ms (1.8%)

simplify188.0ms (6.6%)

prune168.0ms (5.9%)

localize10.0ms (0.4%)

series54.0ms (1.9%)

rewrite38.0ms (1.3%)

simplify167.0ms (5.8%)

prune75.0ms (2.6%)

regimes175.0ms (6.1%)

simplify4.0ms (0.1%)

end101.0ms (3.5%)

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