Details

analyze20.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample10.0ms (0.9%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify13.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-l_binary64`
1×	`associate-r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	10	7
3	10	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

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

Compiler

Compiled 171 to 109 computations (36.3% saved)

series6.0ms (0.5%)

Error

0.1b

Counts

1 → 3

Calls

1 calls:

5.0ms

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify72.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

445×	`times-frac_binary64`
424×	`distribute-rgt-in_binary64`
368×	`distribute-lft-in_binary64`
318×	`associate-l_binary64`
266×	`log-prod_binary64`

Counts

21 → 17

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	215
1	87	179
2	278	170
3	549	168
4	757	168
5	1277	168
6	2441	168
7	4756	168
8	4972	168

prune11.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	6	18

Error

0.0b

Counts

18 → 6

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (.f64 3 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x))))
	28.8b	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
▶	0.2b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 219 to 136 computations (37.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 3 (.f64 x x))

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 19

Calls

1 calls:

4.0ms

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

Compiler

Compiled 173 to 101 computations (41.6% saved)

series11.0ms (0.9%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

10.0ms

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify68.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l/_binary64`
568×	`associate-/r/_binary64`
384×	`distribute-rgt-in_binary64`
347×	`distribute-lft-in_binary64`
212×	`*-commutative_binary64`

Counts

22 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	225
1	74	189
2	172	180
3	415	180
4	626	180
5	1024	180
6	1995	180
7	4967	180
8	4889	180

prune25.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	10	7	17

Error

0.0b

Counts

17 → 7

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
	0.9b	(.f64 (.f64 (.f64 3 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x))))
	28.8b	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓	0.2b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 197 to 136 computations (31% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
0.3b	(.f64 (.f64 x x) (cbrt.f64 3))

rewrite66.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-exp-log_binary64`
28×	`pow1_binary64`
18×	`cbrt-unprod_binary64`
18×	`prod-exp_binary64`
18×	`pow-prod-down_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
5.0ms	(.f64 (.f64 x x) (cbrt.f64 3))

Compiler

Compiled 829 to 612 computations (26.2% saved)

series21.0ms (1.9%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
9.0ms	(.f64 (.f64 x x) (cbrt.f64 3))

Compiler

Compiled 153 to 139 computations (9.2% saved)

simplify94.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

352×	`unswap-sqr_binary64`
345×	`associate-*r/_binary64`
334×	`associate-/l*_binary64`
325×	`log-div_binary64`
324×	`associate-/l/_binary64`

Counts

57 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	720
1	161	552
2	531	522
3	865	522
4	1286	522
5	2324	522
6	4664	522
7	5069	522

prune20.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	47	7	54

Error

0.0b

Counts

54 → 7

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
	0.9b	(.f64 (.f64 (.f64 3 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
▶	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 x (.f64 (cbrt.f64 3) x)))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x))))
	28.8b	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓	0.2b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 385 to 278 computations (27.8% saved)

localize9.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 x (.f64 (cbrt.f64 3) x)))
0.2b	(.f64 x (.f64 (cbrt.f64 3) x))
0.4b	(*.f64 (cbrt.f64 3) x)

rewrite71.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-exp-log_binary64`
31×	`pow1_binary64`
21×	`add-cbrt-cube_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`

Counts

3 → 68

Calls

3 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 x (.f64 (cbrt.f64 3) x)))
4.0ms	(.f64 x (.f64 (cbrt.f64 3) x))
4.0ms	(*.f64 (cbrt.f64 3) x)

Compiler

Compiled 1094 to 873 computations (20.2% saved)

series31.0ms (2.7%)

Error

0.0b

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 (cbrt.f64 3) x)
10.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 x (.f64 (cbrt.f64 3) x)))
7.0ms	(.f64 x (.f64 (cbrt.f64 3) x))

Compiler

Compiled 243 to 215 computations (11.5% saved)

simplify76.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-*l/_binary64`
473×	`associate-/l*_binary64`
455×	`associate-/l/_binary64`
418×	`associate-/r/_binary64`
290×	`sqr-pow_binary64`

Counts

77 → 52

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1401
1	179	705
2	510	690
3	853	667
4	1279	662
5	2299	662
6	5125	662

prune22.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	52	7	59

Error

Counts

59 → 7

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
	0.9b	(.f64 (.f64 (.f64 3 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x))))
	28.8b	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓	0.2b	(.f64 3 (.f64 x x))
	0.7b	(.f64 (.f64 (cbrt.f64 3) (.f64 (cbrt.f64 3) x)) (.f64 (cbrt.f64 3) x))
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 388 to 302 computations (22.2% saved)

regimes81.0ms (7%)

Accuracy

Total 0.2b remaining (88.8%)

Threshold costs 0.2b (88.8%)

Compiler

Compiled 1134 to 884 computations (22% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample379.0ms (32.9%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 93 to 66 computations (29% saved)

Details

analyze20.0ms (1.8%)

sample10.0ms (0.9%)

simplify13.0ms (1.1%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite15.0ms (1.3%)

series6.0ms (0.5%)

simplify72.0ms (6.2%)

prune11.0ms (1%)

localize3.0ms (0.2%)

rewrite15.0ms (1.3%)

series11.0ms (0.9%)

simplify68.0ms (5.9%)

prune25.0ms (2.2%)

localize6.0ms (0.6%)

rewrite66.0ms (5.7%)

series21.0ms (1.9%)

simplify94.0ms (8.1%)

prune20.0ms (1.7%)

localize9.0ms (0.8%)

rewrite71.0ms (6.1%)

series31.0ms (2.7%)

simplify76.0ms (6.6%)

prune22.0ms (1.9%)

regimes81.0ms (7%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample379.0ms (32.9%)

Profiling