Details

analyze60.0ms (4.3%)

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)

sample714.0ms (50.7%)

Symmetry

(sort x y)

Results

674.0ms	8256×	body	128	valid
4.0ms	60×	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

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

0.2b

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)

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite4.0ms (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)

simplify65.0ms (4.6%)

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

prune15.0ms (1.1%)

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
	31.6b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
▶	0.2b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)
	0.5b	(.f64 x (.f64 27 y))

Compiler

Compiled 348 to 221 computations (36.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 0

Calls

1 calls:

4.0ms

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

rewrite7.0ms (0.5%)

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:

6.0ms

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

simplify59.0ms (4.2%)

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

prune22.0ms (1.5%)

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
	0.5b	(.f64 x (.f64 27 y))
▶	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
	31.6b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
✓	0.2b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 278 to 181 computations (34.9% saved)

localize5.0ms (0.4%)

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))

series31.0ms (2.2%)

Counts

2 → 48

Calls

2 calls:

23.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
8.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

rewrite13.0ms (0.9%)

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))

simplify122.0ms (8.7%)

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

prune47.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Error

Counts

76 → 6

Alt Table

Status	Error	Program
▶	0.5b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
	31.6b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
✓	0.2b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)
	0.5b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 y x))))

Compiler

Compiled 1093 to 813 computations (25.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 x (.f64 27 y))

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite4.0ms (0.3%)

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:

4.0ms

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

simplify63.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-/r/_binary64`
451×	`associate-l_binary64`
384×	`associate-/l*_binary64`
372×	`*-commutative_binary64`
301×	`associate-r_binary64`

Counts

44 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	378
1	90	342
2	302	342
3	821	342
4	1011	342
5	1137	342
6	2002	342
7	4806	342
8	4922	342

prune20.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	30	6	36

Error

Counts

36 → 6

Alt Table

Status	Error	Program
✓	0.5b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
	31.6b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
✓	0.2b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)
	0.5b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 y x))))

Compiler

Compiled 351 to 225 computations (35.9% saved)

regimes52.0ms (3.7%)

Accuracy

Total 0.3b remaining (96.2%)

Threshold costs 0.3b (96.2%)

Counts

8 → 1

Compiler

Compiled 516 to 388 computations (24.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end73.0ms (5.1%)

Remove: (sort x y)
Compiler: Compiled 86 to 66 computations (23.3% saved)

Details

analyze60.0ms (4.3%)

sample714.0ms (50.7%)

simplify6.0ms (0.4%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite4.0ms (0.3%)

simplify65.0ms (4.6%)

prune15.0ms (1.1%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite7.0ms (0.5%)

simplify59.0ms (4.2%)

prune22.0ms (1.5%)

localize5.0ms (0.4%)

series31.0ms (2.2%)

rewrite13.0ms (0.9%)

simplify122.0ms (8.7%)

prune47.0ms (3.3%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite4.0ms (0.3%)

simplify63.0ms (4.5%)

prune20.0ms (1.4%)

regimes52.0ms (3.7%)

simplify2.0ms (0.1%)

end73.0ms (5.1%)

Profiling