Details

analyze195.0ms (9.7%)

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)

sample32.0ms (1.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify15.0ms (0.7%)

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

prune5.0ms (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)

localize13.0ms (0.6%)

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)))

series31.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
15.0ms	(+.f64 (.f64 x x) (.f64 x y))

rewrite22.0ms (1.1%)

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:

11.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
8.0ms	(+.f64 (.f64 x x) (.f64 x y))

simplify135.0ms (6.7%)

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 → 75

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

prune68.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

Counts

76 → 2

Alt Table

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

Compiler

Compiled 1136 to 419 computations (63.1% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series16.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

16.0ms

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

rewrite14.0ms (0.7%)

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:

11.0ms

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

simplify95.0ms (4.7%)

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

prune38.0ms (1.9%)

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 (fma.f64 x x (.f64 x y)))
✓	0.0b	(.f64 x (.f64 2 (+.f64 y x)))

Compiler

Compiled 548 to 274 computations (50% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series25.0ms (1.2%)

Counts

1 → 24

Calls

1 calls:

25.0ms

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

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

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

simplify87.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

573×	`distribute-rgt-in_binary64`
563×	`distribute-lft-in_binary64`
459×	`associate-+l+_binary64`
457×	`associate-+r+_binary64`
382×	`unswap-sqr_binary64`

Counts

46 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	625
1	88	506
2	196	506
3	634	506
4	2203	506
5	4211	506
6	5026	506

prune32.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Error

Counts

43 → 2

Alt Table

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

Compiler

Compiled 566 to 211 computations (62.7% saved)

regimes108.0ms (5.4%)

Accuracy

Total 0.0b remaining (85.1%)

Threshold costs 0.0b (85.1%)

Counts

10 → 1

Compiler

Compiled 540 to 360 computations (33.3% saved)

simplify4.0ms (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

end1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample1.1s (52.4%)

Algorithm

1×

intervals

Results

520.0ms	8000×	body	128	valid
11.0ms	142×	body	128	invalid

Compiler

Compiled 42 to 28 computations (33.3% saved)

Details

analyze195.0ms (9.7%)

sample32.0ms (1.6%)

simplify15.0ms (0.7%)

prune5.0ms (0.2%)

localize13.0ms (0.6%)

series31.0ms (1.5%)

rewrite22.0ms (1.1%)

simplify135.0ms (6.7%)

prune68.0ms (3.4%)

localize8.0ms (0.4%)

series16.0ms (0.8%)

rewrite14.0ms (0.7%)

simplify95.0ms (4.7%)

prune38.0ms (1.9%)

localize10.0ms (0.5%)

series25.0ms (1.2%)

rewrite7.0ms (0.4%)

simplify87.0ms (4.3%)

prune32.0ms (1.6%)

regimes108.0ms (5.4%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.1s (52.4%)

Profiling