Details

analyze60.0ms (3.3%)

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)

sample691.0ms (38.3%)

Symmetry

(sort x y)

Results

654.0ms	8256×	body	128	valid
6.0ms	81×	body	128	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify66.0ms (3.6%)

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 (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(*.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)

simplify64.0ms (3.6%)

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

prune20.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Error

0.0b

Counts

31 → 7

Alt Table

Status	Error	Program
	45.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 27) (.f64 x 27)) (.f64 x 27)) (.f64 (.f64 y y) y)))
	30.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
	30.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 27) y) (.f64 (.f64 x 27) y)) (.f64 (.f64 x 27) y)))
▶	0.3b	(.f64 27 (.f64 y x))
	16.6b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
	0.5b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 450 to 291 computations (35.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 0

Calls

1 calls:

5.0ms

(*.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:

4.0ms

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

simplify59.0ms (3.3%)

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

prune16.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Error

0.0b

Counts

27 → 6

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
✓	0.3b	(.f64 27 (.f64 y x))
	30.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
	30.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 27) y) (.f64 (.f64 x 27) y)) (.f64 (.f64 x 27) y)))
	0.5b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 318 to 209 computations (34.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series32.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
10.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

rewrite15.0ms (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:

7.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
5.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

simplify104.0ms (5.8%)

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

prune49.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Error

Counts

77 → 5

Alt Table

Status	Error	Program
▶	0.6b	(.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 27) (.f64 y x))))
	30.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 27) y) (.f64 (.f64 x 27) y)) (.f64 (.f64 x 27) y)))
✓	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 1099 to 818 computations (25.6% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series58.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

36.0ms	(.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 27) (*.f64 y x)))
21.0ms	(.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 27) (.f64 y x))))

rewrite30.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64`
25×	`add-exp-log_binary64`
25×	`pow1_binary64`
18×	`sqrt-prod_binary64`
18×	`associate-l_binary64`

Counts

2 → 61

Calls

2 calls:

14.0ms	(.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 27) (.f64 y x))))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 27) (*.f64 y x)))

simplify80.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

784×	`associate-/l/_binary64`
631×	`associate-/l*_binary64`
564×	`*-commutative_binary64`
343×	`sqr-pow_binary64`
258×	`associate-r_binary64`

Counts

109 → 84

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	90	1675
1	225	1325
2	764	1265
3	1334	1219
4	1903	1213
5	2910	1183
6	5100	1183

prune83.0ms (4.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	118	5	123

Error

Counts

123 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.6b	(.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 (sqrt.f64 27)) (.f64 (sqrt.f64 27) (.f64 y x))))
	0.6b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 27)) (sqrt.f64 (sqrt.f64 27))) (.f64 (sqrt.f64 27) (.f64 y x)))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 2378 to 1912 computations (19.6% saved)

regimes125.0ms (6.9%)

Accuracy

Total 0.4b remaining (95.6%)

Threshold costs 0.4b (95.6%)

Counts

29 → 1

Compiler

Compiled 1572 to 1258 computations (20% 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

end210.0ms (11.6%)

Compiler: Compiled 85 to 67 computations (21.2% saved)

Details

analyze60.0ms (3.3%)

sample691.0ms (38.3%)

simplify66.0ms (3.6%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite5.0ms (0.3%)

simplify64.0ms (3.6%)

prune20.0ms (1.1%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite4.0ms (0.2%)

simplify59.0ms (3.3%)

prune16.0ms (0.9%)

localize5.0ms (0.3%)

series32.0ms (1.8%)

rewrite15.0ms (0.8%)

simplify104.0ms (5.8%)

prune49.0ms (2.7%)

localize9.0ms (0.5%)

series58.0ms (3.2%)

rewrite30.0ms (1.7%)

simplify80.0ms (4.5%)

prune83.0ms (4.6%)

regimes125.0ms (6.9%)

simplify2.0ms (0.1%)

end210.0ms (11.6%)

Profiling