Details

analyze140.0ms (11.3%)

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
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)

sample808.0ms (65.2%)

Results

765.0ms	8256×	body	128	valid
14.0ms	164×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify10.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

17×	`fma-def_binary64`
16×	`*-commutative_binary64`
6×	`distribute-rgt-out_binary64`
5×	`associate-r_binary64`
5×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	20	10
2	39	10
3	54	10
4	56	10
5	56	10

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

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

simplify65.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-l_binary64`
458×	`unswap-sqr_binary64`
428×	`associate-r_binary64`
367×	`distribute-rgt-out_binary64`
352×	`distribute-lft-out_binary64`

Counts

49 → 46

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	587
1	163	545
2	546	545
3	2075	545
4	4182	545
5	5352	545

prune22.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Alt Table

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

Compiler

Compiled 733 to 292 computations (60.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`associate-*r/_binary64`
4×	`distribute-lft-in_binary64`

Counts

1 → 26

Calls

1 calls:

5.0ms

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

simplify60.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-l_binary64`
465×	`associate-r_binary64`
393×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`
371×	`associate-*l/_binary64`

Counts

50 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	658
1	164	541
2	581	541
3	2144	541
4	3808	541
5	5202	541

prune17.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	42	2	44

Error

Counts

44 → 2

Alt Table

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

Compiler

Compiled 539 to 269 computations (50.1% saved)

regimes34.0ms (2.8%)

Accuracy

Total 0.0b remaining (79.9%)

Threshold costs 0.0b (79.9%)

Counts

6 → 1

Compiler

Compiled 252 to 172 computations (31.7% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	11	13

end42.0ms (3.4%)

Compiler: Compiled 42 to 27 computations (35.7% saved)

Details

analyze140.0ms (11.3%)

sample808.0ms (65.2%)

simplify10.0ms (0.8%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

series8.0ms (0.6%)

rewrite6.0ms (0.5%)

simplify65.0ms (5.2%)

prune22.0ms (1.8%)

localize4.0ms (0.3%)

series7.0ms (0.6%)

rewrite6.0ms (0.5%)

simplify60.0ms (4.9%)

prune17.0ms (1.4%)

regimes34.0ms (2.8%)

simplify2.0ms (0.2%)

end42.0ms (3.4%)

Profiling