Details

analyze94.0ms (6.7%)

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%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample844.0ms (60%)

Results

762.0ms	8256×	body	128	valid
13.0ms	164×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify21.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
286×	`fma-neg_binary64`
71×	`associate-l_binary64`
71×	`distribute-rgt-in_binary64`
66×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	43	10
3	102	10
4	207	10
5	294	10
6	502	10
7	871	10
8	1251	10
9	1448	10
10	1498	10

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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 x -2) (-.f64 y x))
	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x -2) (-.f64 y x))

rewrite37.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
78×	`add-sqr-sqrt_binary64`
74×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2029	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

1 calls:

37.0ms

(*.f64 (*.f64 x -2) (-.f64 y x))

simplify33.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
534×	`fma-def_binary64`
450×	`distribute-rgt-neg-in_binary64`
357×	`associate-l_binary64`
254×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	276
1	31	222
2	81	222
3	206	222
4	573	222
5	1867	222
6	3838	222

Stop Event

1×	node limit

Counts

45 → 27

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))
▶	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 318 to 186 computations (41.5% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 x y))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

series23.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
5.0ms	(-.f64 (.f64 x x) (.f64 x y))

rewrite106.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
86×	`add-cbrt-cube_binary64`
85×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	183	17
2	2449	17

Stop Event

1×	node limit

Counts

2 → 74

Calls

2 calls:

104.0ms	(-.f64 (.f64 x x) (.f64 x y))
104.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

simplify45.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
394×	`associate-l_binary64`
275×	`cancel-sign-sub-inv_binary64`
245×	`fma-def_binary64`
242×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	486
1	41	378
2	100	378
3	244	378
4	654	378
5	2134	378
6	3962	378

Stop Event

1×	node limit

Counts

122 → 85

prune86.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 1243 to 505 computations (59.4% saved)

regimes42.0ms (3%)

Accuracy

Total 0.0b remaining (57.3%)

Threshold costs 0.0b (57.3%)

Counts

9 → 1

Compiler

Compiled 332 to 232 computations (30.1% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10

Stop Event

1×

saturated

end41.0ms (2.9%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Details

analyze94.0ms (6.7%)

sample844.0ms (60%)

simplify21.0ms (1.5%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series8.0ms (0.5%)

rewrite37.0ms (2.6%)

simplify33.0ms (2.3%)

prune14.0ms (1%)

localize5.0ms (0.4%)

series23.0ms (1.7%)

rewrite106.0ms (7.5%)

simplify45.0ms (3.2%)

prune86.0ms (6.1%)

regimes42.0ms (3%)

simplify3.0ms (0.2%)

end41.0ms (2.9%)

Profiling