Details

analyze69.0ms (3.9%)

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)

sample964.0ms (53.9%)

Symmetry

(sort x y)

Results

894.0ms	8256×	body	128	valid
6.0ms	70×	body	128	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify11.0ms (0.6%)

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

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)

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

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

rewrite47.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
385×	`unpow-prod-down_binary64`
298×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 17

Calls

1 calls:

46.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1356	7
3	5047	7
0	0	0
1	0	0

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

41 → 18

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	16	168
3	16	168
4	16	168

prune12.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Error

0.0b

Counts

19 → 5

Alt Table

Status	Error	Program
	29.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	35.6b	(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
	28.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
▶	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 243 to 178 computations (26.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

4.0ms

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

rewrite39.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
387×	`unpow-prod-down_binary64`
299×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 17

Calls

1 calls:

39.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1358	7
3	5055	7
0	0	0
1	0	0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune14.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	17	5	22

Error

0.0b

Counts

22 → 5

Alt Table

Status	Error	Program
	29.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	35.6b	(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
▶	28.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 231 to 159 computations (31.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x 27) y)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
✓	7.8b	(sqrt.f64 (.f64 (.f64 x 27) y))

series59.0ms (3.3%)

Counts

2 → 0

Calls

2 calls:

36.0ms	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
22.0ms	(sqrt.f64 (.f64 (.f64 x 27) y))

rewrite48.0ms (2.7%)

Algorithm

2×	batch-egg-rewrite

Rules

656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
365×	`log-prod_binary64`
136×	`expm1-udef_binary64`
136×	`log1p-udef_binary64`

Counts

2 → 71

Calls

2 calls:

47.0ms	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
47.0ms	(sqrt.f64 (.f64 (.f64 x 27) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	168	16
2	1746	16
3	5087	16
0	0	0
1	0	0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune63.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	88	6	94

Error

0.0b

Counts

94 → 6

Alt Table

Status	Error	Program
	35.6b	(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
✓	0.3b	(.f64 27 (.f64 y x))
	16.9b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x 27)))
▶	0.5b	(.f64 x (.f64 27 y))
	28.2b	(pow.f64 (pow.f64 (pow.f64 (.f64 (.f64 x 27) y) 1/4) 2) 2)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 1138 to 845 computations (25.7% 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:

5.0ms

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

rewrite77.0ms (4.3%)

Algorithm

2×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
387×	`unpow-prod-down_binary64`
299×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 17

Calls

1 calls:

76.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1358	7
3	5055	7
0	0	0
1	0	0

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

41 → 18

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	16	168
3	16	168
4	16	168

prune11.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	18	6	24

Error

0.0b

Counts

24 → 6

Alt Table

Status	Error	Program
	35.6b	(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
✓	0.3b	(.f64 27 (.f64 y x))
	16.9b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x 27)))
✓	0.5b	(.f64 x (.f64 27 y))
	28.2b	(pow.f64 (pow.f64 (pow.f64 (.f64 (.f64 x 27) y) 1/4) 2) 2)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 217 to 155 computations (28.6% saved)

regimes62.0ms (3.5%)

Accuracy

Total 0.3b remaining (94.3%)

Threshold costs 0.3b (94.3%)

Counts

12 → 1

Compiler

Compiled 536 to 414 computations (22.8% 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

end237.0ms (13.2%)

Compiler: Compiled 83 to 61 computations (26.5% saved)

Details

analyze69.0ms (3.9%)

sample964.0ms (53.9%)

simplify11.0ms (0.6%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite47.0ms (2.6%)

simplify18.0ms (1%)

prune12.0ms (0.7%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite39.0ms (2.2%)

simplify6.0ms (0.3%)

prune14.0ms (0.8%)

localize5.0ms (0.3%)

series59.0ms (3.3%)

rewrite48.0ms (2.7%)

simplify7.0ms (0.4%)

prune63.0ms (3.5%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite77.0ms (4.3%)

simplify12.0ms (0.7%)

prune11.0ms (0.6%)

regimes62.0ms (3.5%)

simplify2.0ms (0.1%)

end237.0ms (13.2%)

Profiling