Details

analyze58.0ms (3.4%)

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample731.0ms (43.4%)

Symmetry

(sort x y)

Results

689.0ms	8256×	body	128	valid
8.0ms	70×	body	128	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	16	7
3	16	7
4	16	7

prune2.0ms (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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 27) y)

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x 27) y)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x 27) y)

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-*l/_binary64`
617×	`associate-*r/_binary64`
454×	`associate-l_binary64`
380×	`*-commutative_binary64`
308×	`associate-r_binary64`

Counts

44 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	380
1	100	344
2	342	344
3	909	344
4	1091	344
5	1283	344
6	1535	344
7	4481	344
8	4855	344

prune16.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Error

0.0b

Counts

31 → 4

Alt Table

Status	Error	Program
	16.9b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(.f64 (.f64 x 27) y)
	0.5b	(.f64 x (.f64 27 y))
▶	0.3b	(.f64 27 (.f64 y x))

Compiler

Compiled 350 to 219 computations (37.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 27 (.f64 y x))

series4.0ms (0.3%)

Counts

1 → 0

Calls

1 calls:

4.0ms

(*.f64 27 (*.f64 y x))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

3.0ms

(*.f64 27 (*.f64 y x))

simplify61.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-/l*_binary64`
484×	`cube-div_binary64`
484×	`log-div_binary64`
401×	`*-commutative_binary64`
334×	`associate-l_binary64`

Counts

20 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	210
1	84	174
2	255	174
3	647	174
4	824	174
5	953	174
6	1171	174
7	1550	174
8	2413	174
9	3887	174
10	5001	174

prune11.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	19	5	24

Error

0.0b

Counts

24 → 5

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
	0.5b	(.f64 x (.f64 27 y))
	16.9b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(.f64 (.f64 x 27) y)
✓	0.3b	(.f64 27 (.f64 y x))

Compiler

Compiled 280 to 179 computations (36.1% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
✓	0.3b	(.f64 (sqrt.f64 27) (.f64 y x))

series29.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
8.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
12×	`associate-l_binary64`
9×	`cbrt-unprod_binary64`

Counts

2 → 49

Calls

2 calls:

6.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
4.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

simplify143.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

383×	`unswap-sqr_binary64`
342×	`*-commutative_binary64`
338×	`associate-+l+_binary64`
326×	`distribute-rgt-in_binary64`
291×	`sqr-pow_binary64`

Counts

97 → 71

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	975
1	163	879
2	556	879
3	859	871
4	1168	871
5	1833	871
6	4012	871
7	4659	871
8	4999	871
9	4933	871

prune46.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Status	Error	Program
	0.5b	(.f64 x (.f64 27 y))
	0.6b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 y x))))
✓	0.3b	(.f64 27 (.f64 y x))
▶	0.4b	(.f64 (.f64 (sqrt.f64 27) (*.f64 y x)) (sqrt.f64 27))

Compiler

Compiled 1077 to 801 computations (25.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (sqrt.f64 27) (*.f64 y x)) (sqrt.f64 27))
	0.3b	(.f64 (sqrt.f64 27) (.f64 y x))

series23.0ms (1.4%)

Counts

1 → 24

Calls

1 calls:

23.0ms

(*.f64 (*.f64 (sqrt.f64 27) (*.f64 y x)) (sqrt.f64 27))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
10×	`pow1_binary64`
6×	`associate-r_binary64`
6×	`cbrt-unprod_binary64`

Counts

1 → 26

Calls

1 calls:

6.0ms

(*.f64 (*.f64 (sqrt.f64 27) (*.f64 y x)) (sqrt.f64 27))

simplify65.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac_binary64`
597×	`fma-def_binary64`
342×	`unswap-sqr_binary64`
322×	`*-commutative_binary64`
233×	`sqr-pow_binary64`

Counts

50 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	609
1	147	437
2	549	437
3	883	429
4	1231	429
5	1964	429
6	3629	429
7	5183	429

prune45.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	4	73

Error

Counts

73 → 4

Alt Table

Status	Error	Program
	0.5b	(.f64 x (.f64 27 y))
	0.6b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 y x))))
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.4b	(.f64 (.f64 (sqrt.f64 27) (*.f64 y x)) (sqrt.f64 27))

Compiler

Compiled 1022 to 756 computations (26% saved)

regimes131.0ms (7.8%)

Accuracy

Total 0.3b remaining (91.6%)

Threshold costs 0.3b (91.6%)

Counts

31 → 1

Compiler

Compiled 1575 to 1243 computations (21.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7
2	11	7

end195.0ms (11.6%)

Compiler: Compiled 69 to 53 computations (23.2% saved)

Details

analyze58.0ms (3.4%)

sample731.0ms (43.4%)

simplify6.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series6.0ms (0.4%)

rewrite5.0ms (0.3%)

simplify60.0ms (3.5%)

prune16.0ms (1%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite4.0ms (0.2%)

simplify61.0ms (3.6%)

prune11.0ms (0.7%)

localize9.0ms (0.5%)

series29.0ms (1.7%)

rewrite13.0ms (0.8%)

simplify143.0ms (8.5%)

prune46.0ms (2.7%)

localize5.0ms (0.3%)

series23.0ms (1.4%)

rewrite8.0ms (0.5%)

simplify65.0ms (3.9%)

prune45.0ms (2.7%)

regimes131.0ms (7.8%)

simplify2.0ms (0.1%)

end195.0ms (11.6%)

Profiling