Details

analyze60.0ms (5%)

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)

sample660.0ms (55.4%)

Results

642.0ms	8256×	body	128	valid
6.0ms	87×	body	128	invalid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess25.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`associate-l_binary64`
2×	`associate-r_binary64`
1×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	20	14
3	20	14
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	19	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(.f64 x (.f64 27 y))
▶	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 40 to 28 computations (30% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

2.0ms	(.f64 (.f64 x 27) y)	y	0
1.0ms	(.f64 (.f64 x 27) y)	y	-inf
1.0ms	(.f64 (.f64 x 27) y)	x	0
1.0ms	(.f64 (.f64 x 27) y)	x	inf
1.0ms	(.f64 (.f64 x 27) y)	x	-inf

rewrite30.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1403	7

Stop Event

1×	node limit

Counts

1 → 17

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

41 → 19

prune12.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Error

0.0b

Counts

21 → 5

Alt Table

Status	Error	Program
	0.3b	(.f64 27 (.f64 y x))
▶	0.2b	(.f64 x (.f64 27 y))
	29.7b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	1.2b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 242 to 165 computations (31.8% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(.f64 x (.f64 27 y))	x	0
1.0ms	(.f64 x (.f64 27 y))	x	inf
1.0ms	(.f64 x (.f64 27 y))	x	-inf
1.0ms	(.f64 x (.f64 27 y))	y	-inf
1.0ms	(.f64 x (.f64 27 y))	y	inf

rewrite33.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1405	7

Stop Event

1×	node limit

Counts

1 → 17

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

41 → 19

prune11.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	19	5	24

Error

0.0b

Counts

24 → 5

Alt Table

Status	Error	Program
▶	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 x (.f64 27 y))
	29.7b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	1.2b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 235 to 164 computations (30.2% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.4%)

Counts

1 → 0

Calls

6 calls:

2.0ms	(.f64 27 (.f64 y x))	y	0
1.0ms	(.f64 27 (.f64 y x))	x	-inf
1.0ms	(.f64 27 (.f64 y x))	y	inf
1.0ms	(.f64 27 (.f64 y x))	y	-inf
1.0ms	(.f64 27 (.f64 y x))	x	inf

rewrite32.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1405	7

Stop Event

1×	node limit

Counts

1 → 17

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

17 → 17

prune10.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	17	5	22

Error

0.0b

Counts

22 → 5

Alt Table

Status	Error	Program
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 x (.f64 27 y))
	29.7b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
▶	1.2b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
✓	0.2b	(.f64 (.f64 x 27) y)

Compiler

Compiled 218 to 157 computations (28% saved)

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 27 (.f64 x y))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
✓	10.3b	(cbrt.f64 (.f64 27 (.f64 x y)))

series61.0ms (5.1%)

Counts

3 → 24

Calls

18 calls:

13.0ms	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)	x	-inf
11.0ms	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)	y	-inf
7.0ms	(cbrt.f64 (.f64 27 (.f64 x y)))	x	-inf
5.0ms	(cbrt.f64 (.f64 27 (.f64 x y)))	y	-inf
4.0ms	(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)	x	0

rewrite41.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
372×	`log-prod_binary64`
133×	`expm1-udef_binary64`
133×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	179	23
2	1869	23

Stop Event

1×	node limit

Counts

3 → 87

simplify11.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

111 → 77

prune44.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	78	4	82

Error

0.0b

Counts

82 → 4

Alt Table

Status	Error	Program
✓	0.3b	(.f64 27 (.f64 y x))
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)
	13.9b	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 974 to 714 computations (26.7% saved)

regimes47.0ms (4%)

Accuracy

Total 0.3b remaining (92.5%)

Threshold costs 0.3b (92.5%)

Counts

11 → 1

Compiler

Compiled 504 to 362 computations (28.2% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7

Stop Event

1×

saturated

end49.0ms (4.1%)

Stop Event

1×

fuel

Remove

(sort x y)

Compiler

Compiled 60 to 42 computations (30% saved)

Details

analyze60.0ms (5%)

sample660.0ms (55.4%)

preprocess25.0ms (2.1%)

simplify7.0ms (0.6%)

prune3.0ms (0.2%)

localize3.0ms (0.3%)

series5.0ms (0.5%)

rewrite30.0ms (2.5%)

simplify9.0ms (0.8%)

prune12.0ms (1%)

localize3.0ms (0.3%)

series4.0ms (0.4%)

rewrite33.0ms (2.8%)

simplify9.0ms (0.8%)

prune11.0ms (0.9%)

localize3.0ms (0.3%)

series5.0ms (0.4%)

rewrite32.0ms (2.6%)

simplify6.0ms (0.5%)

prune10.0ms (0.8%)

localize5.0ms (0.5%)

series61.0ms (5.1%)

rewrite41.0ms (3.5%)

simplify11.0ms (0.9%)

prune44.0ms (3.7%)

regimes47.0ms (4%)

simplify2.0ms (0.2%)

end49.0ms (4.1%)

Profiling