Details

analyze89.0ms (5.4%)

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)

sample697.0ms (41.9%)

Results

652.0ms	8256×	body	128	valid
13.0ms	174×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% 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

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
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
✓	0.2b	(.f64 (.f64 x 3) y)

series20.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
5.0ms	(.f64 (.f64 x 3) 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 (.f64 (*.f64 x 3) y) y)
4.0ms	(.f64 (.f64 x 3) y)

simplify89.0ms (5.4%)

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

prune46.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Error

0.0b

Counts

64 → 8

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
	0.9b	(.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)
	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)
	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
▶	0.2b	(.f64 (.f64 3 (*.f64 y x)) y)
	9.5b	(.f64 (.f64 x 3) (*.f64 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)))
	0.9b	(.f64 (.f64 (.f64 (.f64 x 3) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) y)

Compiler

Compiled 987 to 573 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))

series17.0ms (1%)

Counts

2 → 24

Calls

2 calls:

12.0ms	(.f64 (.f64 3 (*.f64 y x)) y)
4.0ms	(.f64 3 (.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 (.f64 3 (*.f64 y x)) y)
3.0ms	(.f64 3 (.f64 y x))

simplify77.0ms (4.7%)

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

prune41.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	52	8	60

Error

Counts

60 → 8

Alt Table

Status	Error	Program
	0.5b	(.f64 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (.f64 y x))) y)
▶	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	19.0b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (.f64 3 (*.f64 y x)))) y)
✓	0.2b	(.f64 (.f64 3 (*.f64 y x)) y)
	0.3b	(.f64 (.f64 (*.f64 3 y) x) y)
	0.4b	(.f64 (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 y x))) 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)))
	0.9b	(.f64 (.f64 (.f64 (.f64 x 3) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) y)

Compiler

Compiled 886 to 494 computations (44.2% 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)))

series18.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(.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))

simplify84.0ms (5.1%)

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

prune53.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	61	8	69

Error

Counts

69 → 8

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 y x))) y)
	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 y (*.f64 y x))))
	19.0b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (.f64 3 (*.f64 y x)))) y)
✓	0.2b	(.f64 (.f64 3 (*.f64 y x)) y)
▶	0.3b	(.f64 (.f64 3 y) (*.f64 y x))
	9.8b	(.f64 (sqrt.f64 3) (.f64 (.f64 (.f64 y y) x) (sqrt.f64 3)))
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	0.9b	(.f64 (.f64 (.f64 (.f64 x 3) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) y)

Compiler

Compiled 958 to 452 computations (52.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(*.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))

simplify93.0ms (5.6%)

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

prune26.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	31	8	39

Error

Counts

39 → 8

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 y x))) y)
	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 y (*.f64 y x))))
	19.0b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (.f64 3 (*.f64 y x)))) y)
✓	0.2b	(.f64 (.f64 3 (*.f64 y x)) y)
✓	0.3b	(.f64 (.f64 3 y) (*.f64 y x))
	9.8b	(.f64 (sqrt.f64 3) (.f64 (.f64 (.f64 y y) x) (sqrt.f64 3)))
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	0.9b	(.f64 (.f64 (.f64 (.f64 x 3) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) y)

Compiler

Compiled 513 to 275 computations (46.4% saved)

regimes151.0ms (9.1%)

Accuracy

Total 0.2b remaining (88.9%)

Threshold costs 0.2b (88.9%)

Counts

38 → 1

Compiler

Compiled 2265 to 1586 computations (30% 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

end84.0ms (5.1%)

Compiler: Compiled 128 to 88 computations (31.3% saved)

Details

analyze89.0ms (5.4%)

sample697.0ms (41.9%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series20.0ms (1.2%)

rewrite10.0ms (0.6%)

simplify89.0ms (5.4%)

prune46.0ms (2.8%)

localize4.0ms (0.2%)

series17.0ms (1%)

rewrite10.0ms (0.6%)

simplify77.0ms (4.7%)

prune41.0ms (2.5%)

localize4.0ms (0.2%)

series18.0ms (1.1%)

rewrite10.0ms (0.6%)

simplify84.0ms (5.1%)

prune53.0ms (3.2%)

localize4.0ms (0.2%)

series13.0ms (0.8%)

rewrite6.0ms (0.4%)

simplify93.0ms (5.6%)

prune26.0ms (1.6%)

regimes151.0ms (9.1%)

simplify2.0ms (0.1%)

end84.0ms (5.1%)

Profiling