Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample602.0ms (38.7%)

Results

562.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (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 (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 x 3) y) y)
✓	0.2b	(.f64 (.f64 x 3) y)

series18.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
5.0ms	(.f64 (.f64 x 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 (*.f64 x 3) y) y)
4.0ms	(.f64 (.f64 x 3) y)

simplify87.0ms (5.6%)

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

prune48.0ms (3.1%)

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)
	19.8b	(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)))
	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
	0.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (cbrt.f64 (.f64 (*.f64 x 3) y))) y)
▶	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	6.8b	(.f64 (.f64 x 3) (*.f64 y y))
	19.8b	(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (*.f64 y x))) 3))

Compiler

Compiled 957 to 557 computations (41.8% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series23.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(.f64 3 (.f64 y (*.f64 y x)))
8.0ms	(.f64 y (.f64 y x))

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

simplify133.0ms (8.5%)

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

prune52.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Error

0.0b

Counts

68 → 7

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 3 y) (*.f64 y x))
	0.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (cbrt.f64 (.f64 (*.f64 x 3) y))) y)
	0.4b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (.f64 y (.f64 y x))))
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
	19.8b	(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (*.f64 y x))) 3))
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)

Compiler

Compiled 908 to 420 computations (53.7% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series11.0ms (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:

5.0ms

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

simplify100.0ms (6.4%)

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

prune35.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	31	7	38

Error

0.0b

Counts

38 → 7

Alt Table

Status	Error	Program
	6.7b	(.f64 (.f64 (*.f64 3 y) y) x)
	0.4b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (.f64 y (.f64 y x))))
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
▶	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
✓	0.2b	(.f64 (.f64 3 y) (*.f64 y x))
	19.8b	(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (*.f64 y x))) 3))
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)

Compiler

Compiled 516 to 279 computations (45.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x (*.f64 3 y)) y)
✓	0.2b	(.f64 x (.f64 3 y))

series19.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
5.0ms	(.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))

simplify89.0ms (5.7%)

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

prune44.0ms (2.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	64	7	71

Error

0.0b

Counts

71 → 7

Alt Table

Status	Error	Program
	6.7b	(.f64 (.f64 (*.f64 3 y) y) x)
	0.4b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (.f64 y (.f64 y x))))
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
✓	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
✓	0.2b	(.f64 (.f64 3 y) (*.f64 y x))
	19.8b	(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (*.f64 y x))) 3))
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)

Compiler

Compiled 847 to 483 computations (43% saved)

regimes98.0ms (6.3%)

Accuracy

Total 0.2b remaining (93.9%)

Threshold costs 0.2b (93.9%)

Counts

22 → 1

Compiler

Compiled 1346 to 932 computations (30.8% 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

end120.0ms (7.7%)

Compiler: Compiled 88 to 61 computations (30.7% saved)

Details

analyze1.0ms (0.1%)

sample602.0ms (38.7%)

simplify12.0ms (0.7%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series18.0ms (1.2%)

rewrite11.0ms (0.7%)

simplify87.0ms (5.6%)

prune48.0ms (3.1%)

localize4.0ms (0.3%)

series23.0ms (1.4%)

rewrite14.0ms (0.9%)

simplify133.0ms (8.5%)

prune52.0ms (3.3%)

localize7.0ms (0.5%)

series11.0ms (0.7%)

rewrite6.0ms (0.4%)

simplify100.0ms (6.4%)

prune35.0ms (2.2%)

localize6.0ms (0.4%)

series19.0ms (1.2%)

rewrite11.0ms (0.7%)

simplify89.0ms (5.7%)

prune44.0ms (2.8%)

regimes98.0ms (6.3%)

simplify2.0ms (0.1%)

end120.0ms (7.7%)

Profiling