Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample538.0ms (33.5%)

Symmetry

(sort x y)

Results

497.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (.f64 x 27) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 x 27) y)

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.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)

simplify79.0ms (4.9%)

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 (1.2%)

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
✓	0.4b	(.f64 (.f64 x 27) y)
▶	0.2b	(.f64 x (.f64 27 y))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (.f64 x 27) y))) (cbrt.f64 (.f64 (.f64 x 27) y)))
	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 372 to 237 computations (36.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 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-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

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

simplify67.0ms (4.2%)

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

prune26.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	29	5	34

Error

0.0b

Counts

34 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (.f64 x 27) y))) (cbrt.f64 (.f64 (.f64 x 27) y)))
	1.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 27 y)))
▶	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 393 to 247 computations (37.2% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.5%)

Counts

1 → 0

Calls

1 calls:

8.0ms

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

rewrite9.0ms (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:

7.0ms

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

simplify81.0ms (5.1%)

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

prune15.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	19	6	25

Error

0.0b

Counts

25 → 6

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
	29.9b	(cbrt.f64 (.f64 (.f64 (.f64 27 27) 27) (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 y x))))
	1.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 27 y)))
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 319 to 200 computations (37.3% saved)

localize8.0ms (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)))
✓	0.2b	(.f64 (sqrt.f64 27) (.f64 y x))

series38.0ms (2.4%)

Counts

2 → 48

Calls

2 calls:

26.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
12.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

rewrite18.0ms (1.1%)

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:

10.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
5.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

simplify130.0ms (8.1%)

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

prune68.0ms (4.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

77 → 5

Alt Table

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

Compiler

Compiled 1050 to 778 computations (25.9% saved)

regimes173.0ms (10.8%)

Accuracy

Total 0.3b remaining (96.9%)

Threshold costs 0.3b (96.9%)

Counts

20 → 1

Compiler

Compiled 1280 to 956 computations (25.3% 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

end281.0ms (17.5%)

Compiler: Compiled 76 to 58 computations (23.7% saved)

Details

analyze1.0ms (0.1%)

sample538.0ms (33.5%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite5.0ms (0.3%)

simplify79.0ms (4.9%)

prune20.0ms (1.2%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite5.0ms (0.3%)

simplify67.0ms (4.2%)

prune26.0ms (1.6%)

localize6.0ms (0.4%)

series8.0ms (0.5%)

rewrite9.0ms (0.5%)

simplify81.0ms (5.1%)

prune15.0ms (0.9%)

localize8.0ms (0.5%)

series38.0ms (2.4%)

rewrite18.0ms (1.1%)

simplify130.0ms (8.1%)

prune68.0ms (4.2%)

regimes173.0ms (10.8%)

simplify2.0ms (0.1%)

end281.0ms (17.5%)

Profiling