Details

analyze152.0ms (3.9%)

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
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.0s (25.6%)

Results

908.0ms	8256×	body	128	valid
32.0ms	315×	body	128	invalid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Rules

877×	`div-sub_binary64`
637×	`sub-neg_binary64`
618×	`unsub-neg_binary64`
440×	`neg-sub0_binary64`
439×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	192	16
4	634	16
5	1914	16
6	3304	16
7	4241	16
8	4674	16
9	4931	16

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

5.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.8b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 50 to 38 computations (24% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
✓	5.4b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series22.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

20.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
2.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
18×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

2 → 90

Calls

2 calls:

9.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
9.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
614×	`associate-/r*_binary64`
196×	`associate-l_binary64`
194×	`associate-/l/_binary64`
174×	`associate-r_binary64`

Counts

126 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2319
1	508	2006
2	2204	1772
3	4855	1760
4	4865	1760

prune133.0ms (3.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	6	155

Error

Counts

155 → 6

Alt Table

Status	Error	Program
	0.3b	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
	5.9b	(.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
	33.9b	(/.f64 (.f64 (+.f64 1 (sqrt.f64 x)) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 3 x))) (*.f64 y 3))
	14.2b	(/.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 3 x))) (*.f64 y 3))
	5.8b	(/.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))
▶	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 3357 to 2282 computations (32% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 3 x) 3)
✓	0.0b	(/.f64 (-.f64 1 x) y)
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

series20.0ms (0.5%)

Counts

3 → 52

Calls

3 calls:

13.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
5.0ms	(/.f64 (-.f64 1 x) y)
1.0ms	(/.f64 (-.f64 3 x) 3)

rewrite60.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
70×	`times-frac_binary64`
43×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`

Counts

3 → 151

Calls

3 calls:

29.0ms	(/.f64 (-.f64 1 x) y)
15.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
4.0ms	(/.f64 (-.f64 3 x) 3)

simplify130.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-in_binary64`
490×	`times-frac_binary64`
284×	`fma-def_binary64`
153×	`associate-*r/_binary64`
150×	`associate-*l/_binary64`

Counts

203 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3302
1	602	3033
2	1953	2971
3	4746	2959
4	4996	2959
5	4946	2959

prune146.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	211	5	216

Error

Counts

216 → 5

Alt Table

Status	Error	Program
	0.3b	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
	5.9b	(.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
	0.7b	(*.f64 (/.f64 (/.f64 (-.f64 1 x) y) (sqrt.f64 3)) (/.f64 (-.f64 3 x) (sqrt.f64 3)))
▶	0.2b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3)))
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 4017 to 2900 computations (27.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 3 x) 3)
✓	0.1b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3)))
✓	0.1b	(*.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3))

series24.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3)))
7.0ms	(*.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-exp-log_binary64`
45×	`add-sqr-sqrt_binary64`
32×	`add-cbrt-cube_binary64`
31×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64`

Counts

2 → 108

Calls

2 calls:

11.0ms	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3)))
11.0ms	(*.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3))

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
453×	`associate-/l*_binary64`
291×	`fma-def_binary64`
212×	`associate-r_binary64`

Counts

156 → 185

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2750
1	536	2353
2	1786	2101
3	4988	2101

prune1.1s (27.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	238	5	243

Error

Counts

243 → 5

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
	5.9b	(.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
	0.7b	(*.f64 (/.f64 (/.f64 (-.f64 1 x) y) (sqrt.f64 3)) (/.f64 (-.f64 3 x) (sqrt.f64 3)))
✓	0.2b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3)))
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 4704 to 3581 computations (23.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
✓	0.3b	(/.f64 (*.f64 y 3) (-.f64 3 x))

series24.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
11.0ms	(/.f64 (*.f64 y 3) (-.f64 3 x))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`times-frac_binary64`
84×	`*-un-lft-identity_binary64`
84×	`add-sqr-sqrt_binary64`
33×	`difference-of-squares_binary64`
30×	`add-cube-cbrt_binary64`

Counts

2 → 134

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
5.0ms	(/.f64 (*.f64 y 3) (-.f64 3 x))

simplify126.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-def_binary64`
439×	`distribute-rgt-in_binary64`
182×	`associate-/r/_binary64`
182×	`fma-neg_binary64`
155×	`associate-/l*_binary64`

Counts

182 → 219

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	4259
1	702	3987
2	2701	3912
3	4634	3900
4	4948	3900

prune155.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	219	5	224

Error

Counts

224 → 5

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
	5.9b	(.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
	0.7b	(*.f64 (/.f64 (/.f64 (-.f64 1 x) y) (sqrt.f64 3)) (/.f64 (-.f64 3 x) (sqrt.f64 3)))
✓	0.2b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (/.f64 (-.f64 3 x) 3)))
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 4509 to 3301 computations (26.8% saved)

regimes411.0ms (10.5%)

Accuracy

Total 0.1b remaining (89.4%)

Threshold costs 0.1b (89.4%)

Counts

79 → 1

Compiler

Compiled 5909 to 4486 computations (24.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	15	16
2	20	16
3	22	16
4	23	16
5	22	16

end78.0ms (2%)

Compiler: Compiled 97 to 76 computations (21.6% saved)

Details

analyze152.0ms (3.9%)

sample1.0s (25.6%)

simplify79.0ms (2%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series22.0ms (0.6%)

rewrite24.0ms (0.6%)

simplify85.0ms (2.2%)

prune133.0ms (3.4%)

localize7.0ms (0.2%)

series20.0ms (0.5%)

rewrite60.0ms (1.5%)

simplify130.0ms (3.3%)

prune146.0ms (3.7%)

localize8.0ms (0.2%)

series24.0ms (0.6%)

rewrite30.0ms (0.8%)

simplify75.0ms (1.9%)

prune1.1s (27.5%)

localize6.0ms (0.2%)

series24.0ms (0.6%)

rewrite25.0ms (0.7%)

simplify126.0ms (3.2%)

prune155.0ms (4%)

regimes411.0ms (10.5%)

simplify3.0ms (0.1%)

end78.0ms (2%)

Profiling