Details

analyze278.0ms (5.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
74.9%	25%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
74.9%	25%	0.2%	11
87.3%	12.5%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (25.5%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify179.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1536×	`fma-neg_binary64`
909×	`div-sub_binary64`
615×	`times-frac_binary64`
547×	`fma-def_binary64`
362×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	29	13
3	67	13
4	136	13
5	250	13
6	551	13
7	1395	13
8	2791	13
9	2886	13
10	3210	13
11	3295	13
12	3304	13
13	3354	13
14	4929	13

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

2.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
✓	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series90.0ms (1.7%)

Counts

2 → 84

Calls

2 calls:

57.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
32.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`

Counts

2 → 106

Calls

2 calls:

19.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
12.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify197.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
905×	`times-frac_binary64`
465×	`fma-neg_binary64`
154×	`associate-/l*_binary64`
144×	`+-commutative_binary64`

Counts

190 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4749
1	800	4617
2	2672	4102
3	4971	4102
4	5241	4102

prune191.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	189	4	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	5	194

Error

0.0b

Counts

194 → 5

Alt Table

Status	Error	Program
	35.9b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 z y))) (.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y))) t))
✓	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
▶	6.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
	9.7b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
	23.6b	(.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) t))

Compiler

Compiled 4534 to 1277 computations (71.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (-.f64 z y))
✓	6.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

series96.0ms (1.8%)

Counts

2 → 72

Calls

2 calls:

62.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
34.0ms	(/.f64 t (-.f64 z y))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`

Counts

2 → 87

Calls

2 calls:

20.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
5.0ms	(/.f64 t (-.f64 z y))

simplify205.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
695×	`fma-def_binary64`
344×	`fma-neg_binary64`
282×	`cancel-sign-sub-inv_binary64`
204×	`sub-neg_binary64`

Counts

159 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	3780
1	617	3669
2	2394	3214
3	4765	3214
4	4978	3214

prune101.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	35.9b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 z y))) (.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z y))) t))
✓	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
✓	6.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
▶	9.7b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
	29.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 t (-.f64 z y))) (+.f64 x y))
	23.6b	(.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) t))

Compiler

Compiled 3485 to 986 computations (71.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 x y))
✓	9.7b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))

series70.0ms (1.3%)

Counts

2 → 72

Calls

2 calls:

57.0ms	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
12.0ms	(*.f64 t (-.f64 x y))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 81

Calls

2 calls:

15.0ms	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
11.0ms	(*.f64 t (-.f64 x y))

simplify221.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
436×	`fma-neg_binary64`
321×	`distribute-rgt-in_binary64`
237×	`associate-/l*_binary64`
206×	`sub-neg_binary64`

Counts

153 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	2879
1	591	2732
2	2652	2354
3	4606	2351
4	4987	2351
5	4926	2351

prune137.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	136	6	142

Error

Counts

142 → 6

Alt Table

Status	Error	Program
	36.9b	(/.f64 (/.f64 (*.f64 t (-.f64 x y)) (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
✓	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
✓	6.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
✓	9.7b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
▶	2.3b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
	29.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 t (-.f64 z y))) (+.f64 x y))

Compiler

Compiled 3040 to 904 computations (70.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
✓	2.2b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

series111.0ms (2.1%)

Counts

2 → 84

Calls

2 calls:

72.0ms	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
39.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

rewrite81.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64`
194×	`add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`distribute-lft-out--_binary64`

Counts

2 → 198

Calls

2 calls:

18.0ms	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
12.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify272.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

467×	`cancel-sign-sub-inv_binary64`
393×	`sub-neg_binary64`
267×	`associate-/r/_binary64`
208×	`associate-/l/_binary64`
173×	`associate-*l/_binary64`

Counts

282 → 301

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	7635
1	1075	7431
2	4076	7365
3	5222	7365

prune279.0ms (5.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	302	5	307

Error

Counts

307 → 5

Alt Table

Status	Error	Program
✓	6.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
✓	9.7b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
✓	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
	6.7b	(/.f64 (/.f64 t (-.f64 z y)) (/.f64 1 (-.f64 x y)))
	29.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 t (-.f64 z y))) (+.f64 x y))

Compiler

Compiled 7134 to 1639 computations (77% saved)

regimes1.1s (20.6%)

Accuracy

Total 0.9b remaining (97.4%)

Threshold costs 0.9b (97.4%)

Counts

101 → 1

Compiler

Compiled 11924 to 6744 computations (43.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	20	49
2	26	49
3	28	49
4	29	49
5	29	49

end127.0ms (2.4%)

Compiler: Compiled 145 to 74 computations (49% saved)

Details

analyze278.0ms (5.3%)

sample1.3s (25.5%)

simplify179.0ms (3.4%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

series90.0ms (1.7%)

rewrite49.0ms (0.9%)

simplify197.0ms (3.8%)

prune191.0ms (3.7%)

localize12.0ms (0.2%)

series96.0ms (1.8%)

rewrite34.0ms (0.7%)

simplify205.0ms (3.9%)

prune101.0ms (1.9%)

localize13.0ms (0.2%)

series70.0ms (1.3%)

rewrite34.0ms (0.7%)

simplify221.0ms (4.2%)

prune137.0ms (2.6%)

localize6.0ms (0.1%)

series111.0ms (2.1%)

rewrite81.0ms (1.6%)

simplify272.0ms (5.2%)

prune279.0ms (5.4%)

regimes1.1s (20.6%)

simplify7.0ms (0.1%)

end127.0ms (2.4%)

Profiling