Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample571.0ms (25.9%)

Results

479.0ms	8093×	body	128	valid
23.0ms	61×	body	1024	valid
9.0ms	48×	body	2048	valid
4.0ms	32×	body	512	valid
2.0ms	22×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify22.0ms (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

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 200 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.2%)

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))

rewrite17.0ms (0.8%)

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:

8.0ms

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

simplify69.0ms (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 (1.6%)

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 200 (-.f64 x y))
	1.4b	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
▶	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)))

Compiler

Compiled 1017 to 455 computations (55.3% 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)))

series28.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

21.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
6.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))

rewrite31.0ms (1.4%)

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:

12.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))

simplify158.0ms (7.1%)

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

prune101.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

Counts

166 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
	1.4b	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
✓	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)))

Compiler

Compiled 3574 to 1991 computations (44.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 200) (-.f64 x y))
✓	0.4b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))

series32.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
9.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

rewrite31.0ms (1.4%)

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:

11.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
8.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

simplify100.0ms (4.5%)

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

prune119.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	1.4b	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
✓	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)))

Compiler

Compiled 4141 to 2537 computations (38.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 200 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))))
✓	0.4b	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
✓	0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
✓	0.6b	(cbrt.f64 (-.f64 x y))

series151.0ms (6.8%)

Counts

4 → 96

Calls

4 calls:

54.0ms	(.f64 200 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))))
40.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
35.0ms	(cbrt.f64 (-.f64 x y))
22.0ms	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))

rewrite58.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
40×	`flip--_binary64`
40×	`flip3--_binary64`
38×	`cbrt-prod_binary64`

Counts

4 → 158

Calls

4 calls:

15.0ms	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
9.0ms	(.f64 200 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))))
9.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
2.0ms	(cbrt.f64 (-.f64 x y))

simplify152.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

722×	`cancel-sign-sub-inv_binary64`
476×	`associate-r_binary64`
448×	`associate-l_binary64`
280×	`fma-neg_binary64`
253×	`unswap-sqr_binary64`

Counts

254 → 294

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	6459
1	984	6162
2	3289	5969
3	5566	5969

prune279.0ms (12.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	398	4	402

Error

Counts

402 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	1.4b	(.f64 (.f64 200 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
✓	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)))

Compiler

Compiled 11863 to 5212 computations (56.1% saved)

regimes162.0ms (7.3%)

Accuracy

Total 0.0b remaining (85.6%)

Threshold costs 0.0b (85.6%)

Counts

33 → 1

Compiler

Compiled 1788 to 1240 computations (30.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end60.0ms (2.7%)

Compiler: Compiled 64 to 44 computations (31.3% 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

analyze1.0ms (0.1%)

sample571.0ms (25.9%)

simplify22.0ms (1%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite17.0ms (0.8%)

simplify69.0ms (3.1%)

prune34.0ms (1.6%)

localize5.0ms (0.2%)

series28.0ms (1.3%)

rewrite31.0ms (1.4%)

simplify158.0ms (7.1%)

prune101.0ms (4.6%)

localize6.0ms (0.3%)

series32.0ms (1.4%)

rewrite31.0ms (1.4%)

simplify100.0ms (4.5%)

prune119.0ms (5.4%)

localize9.0ms (0.4%)

series151.0ms (6.8%)

rewrite58.0ms (2.6%)

simplify152.0ms (6.9%)

prune279.0ms (12.6%)

regimes162.0ms (7.3%)

simplify3.0ms (0.1%)

end60.0ms (2.7%)

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