Details

analyze90.0ms (5.1%)

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
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)

sample748.0ms (42.1%)

Results

705.0ms	8256×	body	128	valid
12.0ms	101×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (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

13.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.4b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x 3) x)
✓	12.8b	(.f64 (.f64 (*.f64 x 3) x) y)

series14.0ms (0.8%)

Counts

2 → 36

Calls

2 calls:

11.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
2.0ms	(.f64 (.f64 x 3) x)

rewrite11.0ms (0.6%)

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

simplify57.0ms (3.2%)

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

prune52.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Error

0.1b

Counts

66 → 7

Alt Table

Status	Error	Program
	13.5b	(.f64 (.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (.f64 x x)))) y)
	13.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
	30.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 3) x) y) (.f64 (.f64 (.f64 x 3) x) y)) (.f64 (.f64 (*.f64 x 3) x) y)))
▶	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	29.7b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	29.6b	(.f64 (cbrt.f64 (.f64 27 (pow.f64 x 6))) y)
✓	13.4b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 971 to 564 computations (41.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))

series10.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

rewrite9.0ms (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))

simplify78.0ms (4.4%)

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

prune27.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	30	9	39

Error

0.0b

Counts

39 → 9

Alt Table

Status	Error	Program
	22.9b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
✓	13.4b	(.f64 (.f64 (*.f64 x 3) x) y)
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	29.7b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	13.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
	13.5b	(.f64 (.f64 3 (*.f64 x x)) y)
▶	0.3b	(.f64 x (.f64 3 (*.f64 x y)))
	0.9b	(.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))))
	28.9b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x y)) (.f64 (.f64 x 3) (.f64 x y))) (.f64 (.f64 x 3) (*.f64 x y))))

Compiler

Compiled 666 to 363 computations (45.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
✓	0.3b	(.f64 3 (.f64 x y))

series17.0ms (1%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 x (.f64 3 (*.f64 x y)))
7.0ms	(.f64 3 (.f64 x y))

rewrite10.0ms (0.6%)

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

simplify82.0ms (4.6%)

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

prune57.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	62	9	71

Error

0.0b

Counts

71 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
	22.9b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	29.7b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	13.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
▶	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
	13.5b	(.f64 (.f64 3 (*.f64 x x)) y)
	17.3b	(.f64 x (cbrt.f64 (.f64 (.f64 (.f64 3 3) 3) (.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 x y)))))
	28.9b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x y)) (.f64 (.f64 x 3) (.f64 x y))) (.f64 (.f64 x 3) (*.f64 x y))))

Compiler

Compiled 1030 to 565 computations (45.1% saved)

localize4.0ms (0.2%)

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 (0.8%)

Counts

2 → 48

Calls

2 calls:

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

rewrite12.0ms (0.7%)

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

simplify79.0ms (4.5%)

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

prune54.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	61	9	70

Error

0.0b

Counts

70 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
	22.9b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	29.7b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	13.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
	13.5b	(.f64 (.f64 3 (*.f64 x x)) y)
	17.3b	(.f64 x (cbrt.f64 (.f64 (.f64 (.f64 3 3) 3) (.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 x y)))))
	28.9b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x y)) (.f64 (.f64 x 3) (.f64 x y))) (.f64 (.f64 x 3) (*.f64 x y))))

Compiler

Compiled 883 to 509 computations (42.4% saved)

regimes176.0ms (9.9%)

Accuracy

Total 0.2b remaining (89.4%)

Threshold costs 0.2b (89.4%)

Counts

49 → 1

Compiler

Compiled 3258 to 2171 computations (33.4% 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

end154.0ms (8.7%)

Compiler: Compiled 156 to 101 computations (35.3% saved)

Details

analyze90.0ms (5.1%)

sample748.0ms (42.1%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.8%)

rewrite11.0ms (0.6%)

simplify57.0ms (3.2%)

prune52.0ms (2.9%)

localize4.0ms (0.2%)

series10.0ms (0.6%)

rewrite9.0ms (0.5%)

simplify78.0ms (4.4%)

prune27.0ms (1.5%)

localize4.0ms (0.2%)

series17.0ms (1%)

rewrite10.0ms (0.6%)

simplify82.0ms (4.6%)

prune57.0ms (3.2%)

localize4.0ms (0.2%)

series14.0ms (0.8%)

rewrite12.0ms (0.7%)

simplify79.0ms (4.5%)

prune54.0ms (3%)

regimes176.0ms (9.9%)

simplify2.0ms (0.1%)

end154.0ms (8.7%)

Profiling