Details

analyze66.0ms (4.7%)

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
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample28.0ms (2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-l_binary64`
13×	`associate-r_binary64`
8×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	25	10
3	37	10
4	35	10
5	35	10

prune2.0ms (0.1%)

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

9.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	9.5b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
✓	9.1b	(.f64 (.f64 (*.f64 x 3) x) y)

series13.0ms (0.9%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
3.0ms	(.f64 (.f64 x 3) x)

rewrite17.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

11.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
4.0ms	(.f64 (.f64 x 3) x)

simplify60.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-*r/_binary64`
375×	`associate-*l/_binary64`
339×	`*-commutative_binary64`
290×	`fma-def_binary64`
282×	`associate-/l*_binary64`

Counts

79 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	876
1	161	768
2	584	759
3	876	757
4	1256	757
5	2112	757
6	4966	757

prune60.0ms (4.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Error

0.1b

Counts

66 → 7

Alt Table

Status	Error	Program
	39.9b	(.f64 (.f64 (.f64 (.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.2b	(.f64 (.f64 x 3) (*.f64 x y))
	40.9b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x 3)) (.f64 x 3)) (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y)))
	10.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x 3) x) y)) (cbrt.f64 (.f64 (.f64 (.f64 x 3) x) y))) (cbrt.f64 (.f64 (.f64 (*.f64 x 3) x) y)))
	9.5b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.3b	(.f64 3 (.f64 y (pow.f64 x 2)))
	9.6b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (.f64 x 3) x))) y)

Compiler

Compiled 1004 to 590 computations (41.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))

series10.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
13×	`pow1_binary64`
8×	`cbrt-unprod_binary64`
8×	`prod-exp_binary64`

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

simplify80.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

395×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`
340×	`associate-+l+_binary64`
315×	`*-commutative_binary64`
265×	`sqr-pow_binary64`

Counts

48 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	607
1	126	517
2	460	517
3	693	517
4	986	517
5	1692	517
6	3166	517
7	4660	517
8	4916	517

prune25.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Error

0.0b

Counts

39 → 7

Alt Table

Status	Error	Program
	39.9b	(.f64 (.f64 (.f64 (.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (cbrt.f64 (.f64 (.f64 x 3) (.f64 x y)))) (cbrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
▶	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))
	9.5b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.3b	(.f64 3 (.f64 y (pow.f64 x 2)))
	9.6b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (.f64 x 3) x))) y)

Compiler

Compiled 589 to 323 computations (45.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
✓	0.2b	(.f64 3 (.f64 x y))

series14.0ms (1%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 x (.f64 3 (*.f64 x y)))
5.0ms	(.f64 3 (.f64 x y))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

7.0ms	(.f64 x (.f64 3 (*.f64 x y)))
4.0ms	(.f64 3 (.f64 x y))

simplify73.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

344×	`*-commutative_binary64`
339×	`associate-+l+_binary64`
329×	`associate-*r/_binary64`
308×	`associate-*l/_binary64`
268×	`log-div_binary64`

Counts

91 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	956
1	150	848
2	519	848
3	801	846
4	1133	846
5	1889	846
6	4731	846
7	5047	846

prune50.0ms (3.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	61	8	69

Error

0.0b

Counts

69 → 8

Alt Table

Status	Error	Program
	9.6b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (.f64 x 3) x))) y)
	29.6b	(.f64 x (.f64 (sqrt.f64 (.f64 3 (.f64 x y))) (sqrt.f64 (.f64 3 (.f64 x y)))))
	19.9b	(.f64 x (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 x y)) (.f64 3 (.f64 x y))) (.f64 3 (*.f64 x y)))))
	39.9b	(.f64 (.f64 (.f64 (.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))
▶	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
	9.5b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.3b	(.f64 3 (.f64 y (pow.f64 x 2)))

Compiler

Compiled 964 to 527 computations (45.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
✓	0.2b	(.f64 (.f64 3 x) y)

series14.0ms (1%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 x (.f64 (*.f64 3 x) y))
4.0ms	(.f64 (.f64 3 x) y)

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

5.0ms	(.f64 x (.f64 (*.f64 3 x) y))
4.0ms	(.f64 (.f64 3 x) y)

simplify92.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
405×	`*-commutative_binary64`
349×	`associate-*r/_binary64`
310×	`associate-*l/_binary64`
266×	`associate-/l*_binary64`

Counts

91 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	961
1	164	853
2	653	853
3	963	851
4	1368	851
5	2243	851
6	4782	851
7	5063	851

prune47.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	61	8	69

Error

0.0b

Counts

69 → 8

Alt Table

Status	Error	Program
	9.6b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (.f64 x 3) x))) y)
	29.6b	(.f64 x (.f64 (sqrt.f64 (.f64 3 (.f64 x y))) (sqrt.f64 (.f64 3 (.f64 x y)))))
	19.9b	(.f64 x (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 x y)) (.f64 3 (.f64 x y))) (.f64 3 (*.f64 x y)))))
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))
	36.6b	(.f64 x (.f64 (.f64 (.f64 3 x) (sqrt.f64 y)) (sqrt.f64 y)))
✓	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
	9.5b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.3b	(.f64 3 (.f64 y (pow.f64 x 2)))

Compiler

Compiled 850 to 490 computations (42.4% saved)

regimes198.0ms (14.2%)

Accuracy

Total 0.2b remaining (87%)

Threshold costs 0.2b (87%)

Counts

55 → 1

Compiler

Compiled 3266 to 2179 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms (0%)

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

sample492.0ms (35.2%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
2.0ms	94×	body	128	invalid

Compiler

Compiled 126 to 85 computations (32.5% saved)

Details

analyze66.0ms (4.7%)

sample28.0ms (2%)

simplify6.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series13.0ms (0.9%)

rewrite17.0ms (1.3%)

simplify60.0ms (4.3%)

prune60.0ms (4.3%)

localize4.0ms (0.3%)

series10.0ms (0.7%)

rewrite7.0ms (0.5%)

simplify80.0ms (5.7%)

prune25.0ms (1.8%)

localize4.0ms (0.3%)

series14.0ms (1%)

rewrite13.0ms (0.9%)

simplify73.0ms (5.2%)

prune50.0ms (3.6%)

localize4.0ms (0.3%)

series14.0ms (1%)

rewrite11.0ms (0.8%)

simplify92.0ms (6.6%)

prune47.0ms (3.4%)

regimes198.0ms (14.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample492.0ms (35.2%)

Profiling