Details

analyze91.0ms (5.5%)

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)

sample720.0ms (43.7%)

Results

676.0ms	8256×	body	128	valid
15.0ms	198×	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 (0.2%)

Local error

Found 2 expressions with local error:

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

series17.0ms (1%)

Counts

2 → 48

Calls

2 calls:

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

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

simplify78.0ms (4.8%)

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

prune47.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	7	64

Error

0.0b

Counts

64 → 7

Alt Table

Status	Error	Program
	37.3b	(.f64 (.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
	35.7b	(.f64 (.f64 (.f64 (.f64 x 3) y) (sqrt.f64 y)) (sqrt.f64 y))
	8.8b	(.f64 (.f64 x 3) (*.f64 y y))
	23.9b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x 3) y) y)) (sqrt.f64 (.f64 (.f64 (*.f64 x 3) y) y)))
	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
▶	0.2b	(.f64 (.f64 3 (*.f64 y x)) y)

Compiler

Compiled 930 to 537 computations (42.3% saved)

localize7.0ms (0.4%)

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:

6.0ms	(.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

prune33.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	52	7	59

Error

0.0b

Counts

59 → 7

Alt Table

Status	Error	Program
	37.3b	(.f64 (.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
	35.7b	(.f64 (.f64 (.f64 (.f64 x 3) y) (sqrt.f64 y)) (sqrt.f64 y))
	8.8b	(.f64 (.f64 x 3) (*.f64 y y))
	23.9b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x 3) y) y)) (sqrt.f64 (.f64 (.f64 (*.f64 x 3) y) y)))
▶	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
✓	0.2b	(.f64 (.f64 3 (*.f64 y x)) y)

Compiler

Compiled 802 to 438 computations (45.4% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
4.0ms	(.f64 x (.f64 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 x (*.f64 3 y)) y)
3.0ms	(.f64 x (.f64 3 y))

simplify85.0ms (5.2%)

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

prune42.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	64	7	71

Error

0.0b

Counts

71 → 7

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
	8.8b	(.f64 x (.f64 (*.f64 3 y) y))
	37.3b	(.f64 (.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
	8.8b	(.f64 (.f64 x 3) (*.f64 y y))
	23.9b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x 3) y) y)) (sqrt.f64 (.f64 (.f64 (*.f64 x 3) y) y)))
▶	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	1.0b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (*.f64 3 y))) y)

Compiler

Compiled 934 to 538 computations (42.4% 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)))

series23.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(.f64 3 (.f64 y (*.f64 y x)))
8.0ms	(.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))

simplify92.0ms (5.6%)

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

prune40.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Error

0.0b

Counts

68 → 6

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 y (*.f64 y x))))
	8.8b	(.f64 (.f64 x 3) (*.f64 y y))
	23.9b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x 3) y) y)) (sqrt.f64 (.f64 (.f64 (*.f64 x 3) y) y)))
✓	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
✓	0.3b	(.f64 3 (.f64 y (*.f64 y x)))
	1.0b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (*.f64 3 y))) y)

Compiler

Compiled 834 to 365 computations (56.2% saved)

regimes125.0ms (7.6%)

Accuracy

Total 0.2b remaining (90.7%)

Threshold costs 0.2b (90.7%)

Counts

30 → 1

Compiler

Compiled 1742 to 1154 computations (33.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	14	10

end74.0ms (4.5%)

Compiler: Compiled 96 to 65 computations (32.3% saved)

Details

analyze91.0ms (5.5%)

sample720.0ms (43.7%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series17.0ms (1%)

rewrite11.0ms (0.6%)

simplify78.0ms (4.8%)

prune47.0ms (2.8%)

localize7.0ms (0.4%)

series14.0ms (0.9%)

rewrite12.0ms (0.7%)

simplify77.0ms (4.7%)

prune33.0ms (2%)

localize7.0ms (0.4%)

series14.0ms (0.9%)

rewrite10.0ms (0.6%)

simplify85.0ms (5.2%)

prune42.0ms (2.6%)

localize4.0ms (0.2%)

series23.0ms (1.4%)

rewrite10.0ms (0.6%)

simplify92.0ms (5.6%)

prune40.0ms (2.4%)

regimes125.0ms (7.6%)

simplify2.0ms (0.1%)

end74.0ms (4.5%)

Profiling