Details

analyze100.0ms (7.4%)

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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample712.0ms (52.4%)

Results

662.0ms	8221×	body	128	valid
8.0ms	67×	body	128	invalid
3.0ms	15×	body	1024	valid
2.0ms	7×	body	2048	valid
1.0ms	6×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify12.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	40	7
4	67	7
5	96	7
6	167	7
7	270	7
8	382	7
9	455	7
10	539	7
11	555	7

Stop Event

1×

saturated

Counts

1 → 1

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 500 (-.f64 x 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
✓	0.0b	(*.f64 500 (-.f64 x y))

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 500 (-.f64 x y))

rewrite33.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
121×	`log1p-udef_binary64`
67×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1711	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

1 calls:

33.0ms

(*.f64 500 (-.f64 x y))

simplify19.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
102×	`fma-neg_binary64`
46×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
21×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Stop Event

1×

saturated

Counts

43 → 23

prune12.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
	44.3b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (.f64 y (+.f64 x y))))
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 266 to 163 computations (38.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

series4.0ms (0.3%)

Counts

1 → 6

Calls

1 calls:

4.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

rewrite41.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
78×	`add-cbrt-cube_binary64`
77×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	165	7
2	2214	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

1 calls:

39.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	9	24

Stop Event

1×

saturated

Counts

59 → 55

prune33.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Error

0.0b

Counts

58 → 3

Alt Table

Status	Error	Program
▶	34.1b	(/.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000)) (*.f64 500 (+.f64 x y)))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 856 to 563 computations (34.2% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) 250000)
✓	0.3b	(.f64 (.f64 y y) 250000)
✓	4.5b	(-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000))
✓	31.8b	(/.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000)) (*.f64 500 (+.f64 x y)))

series27.0ms (2%)

Counts

4 → 72

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000)) (*.f64 500 (+.f64 x y)))
10.0ms	(-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000))
2.0ms	(.f64 (.f64 y y) 250000)
2.0ms	(.f64 (.f64 x x) 250000)

rewrite69.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`log1p-udef_binary64`
152×	`add-sqr-sqrt_binary64`
150×	`log1p-expm1-u_binary64`
150×	`expm1-log1p-u_binary64`
149×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	313	34
2	4727	34

Stop Event

1×	node limit

Counts

4 → 131

Calls

4 calls:

66.0ms	(.f64 (.f64 x x) 250000)
66.0ms	(.f64 (.f64 y y) 250000)
66.0ms	(-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000))
66.0ms	(/.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000)) (*.f64 500 (+.f64 x y)))

simplify44.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-l_binary64`
519×	`distribute-rgt-in_binary64`
372×	`associate-r_binary64`
307×	`fma-def_binary64`
299×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	594
1	46	594
2	98	594
3	236	594
4	740	594
5	2882	594

Stop Event

1×	node limit

Counts

203 → 143

prune63.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Error

0.0b

Counts

146 → 3

Alt Table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 y y) 250000)) (*.f64 500 (+.f64 x y)))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 3029 to 1496 computations (50.6% saved)

regimes111.0ms (8.2%)

Accuracy

Total 0.0b remaining (31.9%)

Threshold costs 0.0b (31.9%)

Counts

26 → 1

Compiler

Compiled 1592 to 1094 computations (31.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8

Stop Event

1×

saturated

end46.0ms (3.4%)

Compiler: Compiled 51 to 37 computations (27.5% saved)

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Details

analyze100.0ms (7.4%)

sample712.0ms (52.4%)

simplify12.0ms (0.9%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite33.0ms (2.4%)

simplify19.0ms (1.4%)

prune12.0ms (0.9%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite41.0ms (3%)

simplify7.0ms (0.5%)

prune33.0ms (2.5%)

localize9.0ms (0.7%)

series27.0ms (2%)

rewrite69.0ms (5.1%)

simplify44.0ms (3.2%)

prune63.0ms (4.7%)

regimes111.0ms (8.2%)

simplify2.0ms (0.1%)

end46.0ms (3.4%)

Profiling

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150