Details

analyze98.0ms (7.1%)

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)

sample786.0ms (57.4%)

Results

743.0ms	8256×	body	128	valid
13.0ms	158×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify15.0ms (1.1%)

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

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

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(.f64 2 (.f64 x (+.f64 x y)))
5.0ms	(*.f64 x (+.f64 x y))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`

Counts

2 → 51

Calls

2 calls:

5.0ms	(.f64 2 (.f64 x (+.f64 x y)))
5.0ms	(*.f64 x (+.f64 x y))

simplify95.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-+r+_binary64`
494×	`distribute-rgt-in_binary64`
493×	`distribute-lft-in_binary64`
408×	`unswap-sqr_binary64`
247×	`fma-def_binary64`

Counts

99 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	1011
1	201	927
2	766	923
3	2315	923
4	3621	923
5	4721	923
6	4981	923
7	4952	923

prune35.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Error

Counts

86 → 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 1067 to 459 computations (57% 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 (0.5%)

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 (4.4%)

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

prune18.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
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 550 to 276 computations (49.8% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series14.0ms (1%)

Counts

2 → 48

Calls

2 calls:

9.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
5.0ms	(+.f64 (.f64 x x) (.f64 x y))

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 40

Calls

2 calls:

5.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(+.f64 (.f64 x x) (.f64 x y))

simplify76.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-l_binary64`
462×	`associate-r_binary64`
439×	`distribute-rgt-out_binary64`
406×	`distribute-lft-out_binary64`
401×	`fma-neg_binary64`

Counts

88 → 77

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	920
1	201	854
2	639	854
3	2432	854
4	4768	854
5	5023	854

prune31.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Error

Counts

79 → 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 1130 to 411 computations (63.6% saved)

regimes36.0ms (2.6%)

Accuracy

Total 0.0b remaining (81.2%)

Threshold costs 0.0b (81.2%)

Counts

8 → 1

Compiler

Compiled 320 to 216 computations (32.5% 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	7	10
1	10	10
2	10	10

end37.0ms (2.7%)

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

Details

analyze98.0ms (7.1%)

sample786.0ms (57.4%)

simplify15.0ms (1.1%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series12.0ms (0.9%)

rewrite13.0ms (0.9%)

simplify95.0ms (6.9%)

prune35.0ms (2.5%)

localize4.0ms (0.3%)

series7.0ms (0.5%)

rewrite6.0ms (0.5%)

simplify60.0ms (4.4%)

prune18.0ms (1.3%)

localize5.0ms (0.4%)

series14.0ms (1%)

rewrite9.0ms (0.7%)

simplify76.0ms (5.6%)

prune31.0ms (2.3%)

regimes36.0ms (2.6%)

simplify2.0ms (0.2%)

end37.0ms (2.7%)

Profiling