Details

analyze1.1s (38.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	96.8%	3.2%	7
3.1%	93.7%	3.2%	8
4.7%	90.5%	4.8%	9
7%	88.2%	4.8%	10
8.2%	86.2%	5.6%	11
9.6%	84.9%	5.6%	12
10.2%	83.8%	6%	13
10.2%	83.8%	6%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (37.6%)

Symmetry

(sort x y)

Results

767.0ms	8256×	body	128	valid
256.0ms	534×	body	8192	exit
3.0ms	35×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.3%)

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%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

5.0ms

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

rewrite5.0ms (0.2%)

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)

simplify66.0ms (2.3%)

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

prune22.0ms (0.8%)

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
	1.2b	(.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 x (.f64 27 y))
	17.1b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
	1.1b	(.f64 (.f64 (.f64 x 27) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)
	32.5b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))

Compiler

Compiled 442 to 283 computations (36% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

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 x (*.f64 27 y))

simplify63.0ms (2.2%)

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

prune25.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	30	7	37

Error

Counts

37 → 7

Alt Table

Status	Error	Program
	1.2b	(.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 x (.f64 27 y))
	1.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 27 y)))
	17.1b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)
	32.5b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))

Compiler

Compiled 435 to 277 computations (36.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

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))

simplify64.0ms (2.3%)

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 (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	20	7	27

Error

Counts

27 → 7

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 27 y)))
	17.1b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.4b	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)
	32.5b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))

Compiler

Compiled 321 to 206 computations (35.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series34.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

24.0ms	(.f64 (sqrt.f64 27) (.f64 (sqrt.f64 27) (*.f64 y x)))
10.0ms	(.f64 (sqrt.f64 27) (.f64 y x))

rewrite15.0ms (0.5%)

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))

simplify108.0ms (3.8%)

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

prune48.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	72	6	78

Error

Counts

78 → 6

Alt Table

Status	Error	Program
	0.4b	(.f64 (sqrt.f64 27) (.f64 (*.f64 (sqrt.f64 27) y) x))
	17.1b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)
	32.5b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))

Compiler

Compiled 1055 to 782 computations (25.9% saved)

regimes90.0ms (3.2%)

Accuracy

Total 0.4b remaining (97%)

Threshold costs 0.4b (97%)

Counts

15 → 1

Compiler

Compiled 977 to 683 computations (30.1% saved)

simplify3.0ms (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

end70.0ms (2.5%)

Compiler: Compiled 81 to 59 computations (27.2% saved)

Details

analyze1.1s (38.3%)

sample1.1s (37.6%)

simplify8.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series5.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify66.0ms (2.3%)

prune22.0ms (0.8%)

localize3.0ms (0.1%)

series7.0ms (0.2%)

rewrite4.0ms (0.2%)

simplify63.0ms (2.2%)

prune25.0ms (0.9%)

localize3.0ms (0.1%)

series5.0ms (0.2%)

rewrite4.0ms (0.2%)

simplify64.0ms (2.3%)

prune16.0ms (0.6%)

localize5.0ms (0.2%)

series34.0ms (1.2%)

rewrite15.0ms (0.5%)

simplify108.0ms (3.8%)

prune48.0ms (1.7%)

regimes90.0ms (3.2%)

simplify3.0ms (0.1%)

end70.0ms (2.5%)

Profiling