Details

analyze114.0ms (4.5%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample732.0ms (28.8%)

Results

668.0ms	8256×	body	128	valid
29.0ms	368×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	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

11.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.5b	(/.f64 x (*.f64 y y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.2b	(/.f64 x (*.f64 y y))

series27.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

27.0ms

(/.f64 x (*.f64 y y))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/l*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

(/.f64 x (*.f64 y y))

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

553×	`div-sub_binary64`
385×	`associate-/l*_binary64`
361×	`associate-/l/_binary64`
320×	`*-commutative_binary64`
266×	`fma-def_binary64`

Counts

47 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	433
1	95	388
2	220	388
3	582	388
4	1890	388
5	2472	388
6	4192	388
7	5127	388

prune25.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Error

0.0b

Counts

29 → 8

Alt Table

Status	Error	Program
✓	11.5b	(/.f64 x (*.f64 y y))
	36.6b	(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
	0.9b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
	11.6b	(.f64 x (/.f64 1 (.f64 y y)))
	1.1b	(/.f64 1 (/.f64 y (/.f64 x y)))
	0.2b	(*.f64 (/.f64 1 y) (/.f64 x y))
▶	0.2b	(/.f64 (/.f64 x y) y)
	12.1b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (.f64 y y) (cbrt.f64 x)))

Compiler

Compiled 422 to 169 computations (60% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) y)

series27.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

27.0ms

(/.f64 (/.f64 x y) y)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

1 → 72

Calls

1 calls:

4.0ms

(/.f64 (/.f64 x y) y)

simplify99.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

346×	`distribute-rgt-in_binary64`
343×	`fma-neg_binary64`
329×	`associate-/l/_binary64`
297×	`distribute-lft-in_binary64`
282×	`fma-def_binary64`

Counts

96 → 112

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	140	1474
1	296	1373
2	571	1301
3	1319	1277
4	1643	1272
5	2461	1222
6	4296	1192
7	4860	1192

prune75.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	112	8	120

Error

Counts

120 → 8

Alt Table

Status	Error	Program
	11.5b	(/.f64 x (/.f64 y (/.f64 1 y)))
	1.1b	(/.f64 1 (/.f64 y (/.f64 x y)))
	1.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)))
✓	0.2b	(/.f64 (/.f64 x y) y)
	11.6b	(.f64 x (/.f64 1 (.f64 y y)))
	34.4b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y)) 1) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) y))
▶	0.8b	(/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 y (/.f64 x (cbrt.f64 y))))
	12.1b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (.f64 y y) (cbrt.f64 x)))

Compiler

Compiled 1713 to 549 computations (68% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (cbrt.f64 y))
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.5b	(cbrt.f64 y)

series428.0ms (16.8%)

Counts

4 → 60

Calls

4 calls:

280.0ms	(/.f64 x (cbrt.f64 y))
71.0ms	(/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
39.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
36.0ms	(cbrt.f64 y)

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
31×	`cbrt-prod_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`

Counts

4 → 133

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
4.0ms	(/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
3.0ms	(/.f64 x (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify109.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
547×	`unswap-sqr_binary64`
530×	`times-frac_binary64`
500×	`fma-neg_binary64`
308×	`associate-l_binary64`

Counts

193 → 186

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2082
1	254	1760
2	708	1641
3	2161	1540
4	4043	1540
5	5016	1540

prune144.0ms (5.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	222	8	230

Error

Counts

230 → 8

Alt Table

Status	Error	Program
	11.5b	(/.f64 x (/.f64 y (/.f64 1 y)))
	1.1b	(/.f64 1 (/.f64 y (/.f64 x y)))
▶	1.0b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 y (.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
✓	0.2b	(/.f64 (/.f64 x y) y)
	11.6b	(.f64 x (/.f64 1 (.f64 y y)))
	34.4b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y)) 1) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) y))
✓	0.8b	(/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 y (/.f64 x (cbrt.f64 y))))
	12.1b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (.f64 y y) (cbrt.f64 x)))

Compiler

Compiled 4297 to 1566 computations (63.6% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
	0.5b	(cbrt.f64 y)
✓	0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series64.0ms (2.5%)

Counts

2 → 24

Calls

2 calls:

36.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
29.0ms	(cbrt.f64 x)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`

Counts

2 → 55

Calls

2 calls:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

577×	`distribute-rgt-in_binary64`
561×	`log-prod_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
384×	`fma-def_binary64`

Counts

79 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	610
1	98	554
2	296	516
3	769	502
4	1799	410
5	4642	410
6	4805	410

prune132.0ms (5.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	223	8	231

Error

Counts

231 → 8

Alt Table

Status	Error	Program
	11.5b	(/.f64 x (/.f64 y (/.f64 1 y)))
	1.1b	(/.f64 1 (/.f64 y (/.f64 x y)))
✓	1.0b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 y (.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
✓	0.2b	(/.f64 (/.f64 x y) y)
	11.6b	(.f64 x (/.f64 1 (.f64 y y)))
	34.4b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y)) 1) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) y))
✓	0.8b	(/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 y (/.f64 x (cbrt.f64 y))))
	12.1b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (.f64 y y) (cbrt.f64 x)))

Compiler

Compiled 5725 to 1640 computations (71.4% saved)

regimes279.0ms (11%)

Accuracy

Total 0.1b remaining (81.7%)

Threshold costs 0.1b (81.7%)

Counts

70 → 1

Compiler

Compiled 4784 to 2729 computations (43% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end81.0ms (3.2%)

Compiler: Compiled 121 to 69 computations (43% saved)

Details

analyze114.0ms (4.5%)

sample732.0ms (28.8%)

simplify6.0ms (0.2%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series27.0ms (1.1%)

rewrite4.0ms (0.2%)

simplify61.0ms (2.4%)

prune25.0ms (1%)

localize3.0ms (0.1%)

series27.0ms (1.1%)

rewrite11.0ms (0.4%)

simplify99.0ms (3.9%)

prune75.0ms (2.9%)

localize8.0ms (0.3%)

series428.0ms (16.8%)

rewrite23.0ms (0.9%)

simplify109.0ms (4.3%)

prune144.0ms (5.7%)

localize12.0ms (0.5%)

series64.0ms (2.5%)

rewrite8.0ms (0.3%)

simplify64.0ms (2.5%)

prune132.0ms (5.2%)

regimes279.0ms (11%)

simplify2.0ms (0.1%)

end81.0ms (3.2%)

Profiling