Details

analyze96.0ms (5.9%)

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%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample730.0ms (44.8%)

Results

692.0ms	8256×	body	128	valid
12.0ms	154×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-l_binary64`
11×	`associate-r_binary64`
10×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	28	10
3	36	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

0.2b

Counts

3 → 1

Alt Table

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

series14.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

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

rewrite16.0ms (1%)

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

simplify80.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
371×	`associate-*r/_binary64`
317×	`*-commutative_binary64`
296×	`associate-*l/_binary64`
272×	`associate-/l*_binary64`

Counts

91 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	960
1	166	852
2	587	852
3	878	850
4	1232	850
5	2115	850
6	4694	850
7	4991	850

prune42.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Error

0.0b

Counts

64 → 7

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x 3) y) y)) (cbrt.f64 (.f64 (.f64 (.f64 x 3) y) y))) (cbrt.f64 (.f64 (.f64 (*.f64 x 3) y) y)))
	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	9.9b	(.f64 3 (.f64 (pow.f64 y 2) x))
▶	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
	9.8b	(.f64 (.f64 x 3) (*.f64 y y))
	25.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 3) y) y) (.f64 (.f64 (.f64 x 3) y) y)) (.f64 (.f64 (*.f64 x 3) y) y)))

Compiler

Compiled 959 to 557 computations (41.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

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

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:

7.0ms	(.f64 (.f64 3 (*.f64 y x)) y)
3.0ms	(.f64 3 (.f64 y x))

simplify78.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
339×	`associate-*r/_binary64`
335×	`*-commutative_binary64`
304×	`associate-/l*_binary64`
289×	`associate-/l/_binary64`

Counts

67 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	793
1	159	685
2	557	685
3	879	683
4	1227	683
5	2129	683
6	4743	683
7	5145	683

prune42.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	52	7	59

Error

0.0b

Counts

59 → 7

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x 3) y) y)) (cbrt.f64 (.f64 (.f64 (.f64 x 3) y) y))) (cbrt.f64 (.f64 (.f64 (*.f64 x 3) y) y)))
▶	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	9.9b	(.f64 3 (.f64 (pow.f64 y 2) x))
✓	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
	9.8b	(.f64 (.f64 x 3) (*.f64 y y))
	25.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 3) y) y) (.f64 (.f64 (.f64 x 3) y) y)) (.f64 (.f64 (*.f64 x 3) y) y)))

Compiler

Compiled 831 to 458 computations (44.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series19.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(.f64 3 (.f64 y (*.f64 y x)))
7.0ms	(.f64 y (.f64 y x))

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

simplify95.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64`
366×	`times-frac_binary64`
338×	`associate-+l+_binary64`
333×	`sqr-pow_binary64`
318×	`*-commutative_binary64`

Counts

91 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	965
1	143	848
2	504	848
3	772	846
4	1133	846
5	2151	846
6	3985	846
7	4494	846
8	4862	846

prune38.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	4	0	4
Picked	0	1	1
Done	0	2	2
Total	63	5	68

Error

Counts

68 → 5

Alt Table

Status	Error	Program
✓	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
✓	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
▶	0.2b	(.f64 (.f64 3 y) (*.f64 y x))
	10.0b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (*.f64 y y) x) (cbrt.f64 3)))
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)

Compiler

Compiled 833 to 368 computations (55.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite6.0ms (0.4%)

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:

4.0ms

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

simplify93.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

431×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`
343×	`associate-+l+_binary64`
323×	`*-commutative_binary64`
312×	`unswap-sqr_binary64`

Counts

48 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	607
1	122	517
2	473	517
3	709	517
4	1021	517
5	1822	517
6	3315	517
7	4730	517
8	4999	517
9	4890	517

prune22.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	31	5	36

Error

Counts

36 → 5

Alt Table

Status	Error	Program
✓	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
✓	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
	9.8b	(.f64 (.f64 3 (*.f64 y y)) x)
✓	0.2b	(.f64 (.f64 3 y) (*.f64 y x))
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)

Compiler

Compiled 448 to 229 computations (48.9% saved)

regimes125.0ms (7.7%)

Accuracy

Total 0.2b remaining (90.9%)

Threshold costs 0.2b (90.9%)

Counts

26 → 1

Compiler

Compiled 1779 to 1196 computations (32.8% 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

end55.0ms (3.4%)

Compiler: Compiled 63 to 42 computations (33.3% saved)

Details

analyze96.0ms (5.9%)

sample730.0ms (44.8%)

simplify11.0ms (0.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.9%)

rewrite16.0ms (1%)

simplify80.0ms (4.9%)

prune42.0ms (2.6%)

localize4.0ms (0.2%)

series14.0ms (0.9%)

rewrite12.0ms (0.7%)

simplify78.0ms (4.8%)

prune42.0ms (2.6%)

localize4.0ms (0.2%)

series19.0ms (1.2%)

rewrite10.0ms (0.6%)

simplify95.0ms (5.8%)

prune38.0ms (2.3%)

localize4.0ms (0.2%)

series12.0ms (0.7%)

rewrite6.0ms (0.4%)

simplify93.0ms (5.7%)

prune22.0ms (1.3%)

regimes125.0ms (7.7%)

simplify2.0ms (0.1%)

end55.0ms (3.4%)

Profiling