Details

analyze89.0ms (5.7%)

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%	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)

sample52.0ms (3.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify7.0ms (0.4%)

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

prune4.0ms (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

0.3b

Counts

3 → 1

Alt Table

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

series15.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

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

rewrite14.0ms (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 (.f64 x 3) y)
5.0ms	(.f64 (.f64 (*.f64 x 3) y) y)

simplify82.0ms (5.2%)

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

prune55.0ms (3.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	54	9	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	9	64

Error

0.0b

Counts

64 → 9

Alt Table

Status	Error	Program
	34.0b	(.f64 (.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
	19.8b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) y) (.f64 (.f64 x 3) y)) (.f64 (*.f64 x 3) y))) y)
	1.0b	(.f64 (.f64 (.f64 (.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	10.0b	(.f64 3 (.f64 (pow.f64 y 2) x))
	10.0b	(.f64 (.f64 x 3) (*.f64 y y))
	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
▶	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)
	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	20.6b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 y x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 y x)))))

Compiler

Compiled 998 to 579 computations (42% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series16.0ms (1%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
4.0ms	(.f64 x (.f64 3 y))

rewrite11.0ms (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 x (*.f64 3 y)) y)
4.0ms	(.f64 x (.f64 3 y))

simplify118.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-def_binary64`
412×	`*-commutative_binary64`
332×	`associate-*r/_binary64`
298×	`associate-/l*_binary64`
279×	`associate-/l/_binary64`

Counts

91 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	961
1	165	853
2	671	853
3	981	851
4	1367	851
5	2292	851
6	4887	851
7	5170	851

prune50.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	64	9	73

Error

0.0b

Counts

73 → 9

Alt Table

Status	Error	Program
	10.2b	(.f64 x (.f64 3 (*.f64 y y)))
	19.8b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) y) (.f64 (.f64 x 3) y)) (.f64 (*.f64 x 3) y))) y)
	31.3b	(.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 3 y))) y)
✓	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)
	32.3b	(.f64 (.f64 (.f64 x (.f64 3 y)) (sqrt.f64 y)) (sqrt.f64 y))
	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	1.0b	(.f64 (.f64 (.f64 (.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
	20.6b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 y x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 y x)))))

Compiler

Compiled 1006 to 577 computations (42.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series17.0ms (1%)

Counts

2 → 24

Calls

2 calls:

12.0ms	(.f64 (.f64 3 (*.f64 y x)) y)
5.0ms	(.f64 3 (.f64 y x))

rewrite11.0ms (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 (*.f64 y x)) y)
4.0ms	(.f64 3 (.f64 y x))

simplify76.0ms (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

prune75.0ms (4.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	52	9	61

Error

0.0b

Counts

61 → 9

Alt Table

Status	Error	Program
	10.2b	(.f64 x (.f64 3 (*.f64 y y)))
	19.8b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) y) (.f64 (.f64 x 3) y)) (.f64 (*.f64 x 3) y))) y)
	31.3b	(.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 3 y))) y)
✓	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)
	32.3b	(.f64 (.f64 (.f64 x (.f64 3 y)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	1.0b	(.f64 (.f64 (.f64 (.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)
	20.6b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 y x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 y x)))))

Compiler

Compiled 871 to 474 computations (45.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series23.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(.f64 y (.f64 y x))
11.0ms	(.f64 3 (.f64 y (*.f64 y x)))

rewrite12.0ms (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 y (.f64 y x))
5.0ms	(.f64 3 (.f64 y (*.f64 y x)))

simplify93.0ms (5.9%)

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 → 62

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

prune47.0ms (3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	63	8	71

Error

0.0b

Counts

71 → 8

Alt Table

Status	Error	Program
	10.2b	(.f64 x (.f64 3 (*.f64 y y)))
	19.8b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) y) (.f64 (.f64 x 3) y)) (.f64 (*.f64 x 3) y))) y)
	10.1b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (*.f64 y y) x) (cbrt.f64 3)))
✓	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)
	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 y (*.f64 y x))))
	32.3b	(.f64 (.f64 (.f64 x (.f64 3 y)) (sqrt.f64 y)) (sqrt.f64 y))
	1.0b	(.f64 (.f64 (.f64 (.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 3 (*.f64 y x)) y)

Compiler

Compiled 873 to 390 computations (55.3% saved)

regimes166.0ms (10.5%)

Accuracy

Total 0.2b remaining (88.9%)

Threshold costs 0.2b (88.9%)

Counts

38 → 1

Compiler

Compiled 2464 to 1662 computations (32.5% saved)

simplify3.0ms (0.2%)

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)

sample526.0ms (33.3%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
6.0ms	171×	body	128	invalid

Compiler

Compiled 131 to 91 computations (30.5% saved)

Details

analyze89.0ms (5.7%)

sample52.0ms (3.3%)

simplify7.0ms (0.4%)

prune4.0ms (0.2%)

localize4.0ms (0.3%)

series15.0ms (0.9%)

rewrite14.0ms (0.9%)

simplify82.0ms (5.2%)

prune55.0ms (3.5%)

localize4.0ms (0.3%)

series16.0ms (1%)

rewrite11.0ms (0.7%)

simplify118.0ms (7.4%)

prune50.0ms (3.2%)

localize4.0ms (0.3%)

series17.0ms (1%)

rewrite11.0ms (0.7%)

simplify76.0ms (4.8%)

prune75.0ms (4.8%)

localize4.0ms (0.3%)

series23.0ms (1.5%)

rewrite12.0ms (0.8%)

simplify93.0ms (5.9%)

prune47.0ms (3%)

regimes166.0ms (10.5%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample526.0ms (33.3%)

Profiling