Details

analyze7.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.4s (70.6%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 84 to 55 computations (34.5% saved)

simplify59.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-/r*_binary64`
510×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
463×	`fma-neg_binary64`
415×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	185	17
3	915	13
4	2340	13
5	4455	13
6	4958	13
7	5077	13

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
	47.3b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Compiler

Compiled 107 to 73 computations (31.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	0.6b	(/.f64 1 (*.f64 i i))

series41.0ms (2%)

Counts

2 → 24

Calls

2 calls:

38.0ms	(/.f64 1 (*.f64 i i))
3.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
35×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`

Counts

2 → 85

Calls

2 calls:

7.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
3.0ms	(/.f64 1 (*.f64 i i))

simplify130.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

484×	`cancel-sign-sub-inv_binary64`
484×	`fma-neg_binary64`
262×	`associate-/l/_binary64`
260×	`unsub-neg_binary64`
197×	`neg-mul-1_binary64`

Counts

109 → 114

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	157	1670
1	304	1577
2	701	1474
3	1855	1474
4	4205	1414
5	4887	1414
6	4999	1414
7	4867	1414

prune129.0ms (6.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Error

Counts

116 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
▶	31.6b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
	32.3b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 1829 to 1372 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
✓	0.5b	(/.f64 1/64 (*.f64 i i))

series6.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(/.f64 1/64 (*.f64 i i))
2.0ms	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`

Counts

2 → 40

Calls

2 calls:

4.0ms	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
3.0ms	(/.f64 1/64 (*.f64 i i))

simplify75.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
577×	`associate-/l*_binary64`
483×	`associate-/l/_binary64`
405×	`associate-/r*_binary64`
196×	`distribute-rgt-in_binary64`

Counts

64 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	625
1	163	599
2	407	580
3	1408	580
4	4489	580
5	4707	580
6	4960	580

prune27.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

61 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	31.6b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
▶	32.3b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 739 to 505 computations (31.7% saved)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	31.6b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
✓	32.3b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes27.0ms (1.3%)

Accuracy

Total 0.3b remaining (97.7%)

Threshold costs 0.3b (97.7%)

Counts

8 → 1

Compiler

Compiled 294 to 213 computations (27.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	19	13
3	21	13
4	22	13
5	20	13

end48.0ms (2.4%)

Compiler: Compiled 44 to 35 computations (20.5% saved)

Details

analyze7.0ms (0.3%)

sample1.4s (70.6%)

simplify59.0ms (2.9%)

prune5.0ms (0.2%)

localize5.0ms (0.3%)

series41.0ms (2%)

rewrite16.0ms (0.8%)

simplify130.0ms (6.4%)

prune129.0ms (6.4%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite8.0ms (0.4%)

simplify75.0ms (3.7%)

prune27.0ms (1.3%)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

regimes27.0ms (1.3%)

simplify2.0ms (0.1%)

end48.0ms (2.4%)

Profiling