Details

analyze79.0ms

Algorithm

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

128

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5044	25

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-r_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

4.0ms	(+.f64 (.f64 a a) (.f64 b b))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series130.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+.f64 (.f64 a a) (.f64 b b))
37.0ms	(.f64 4 (.f64 b b))
53.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify43.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5972	705

prune40.0ms

Filtered

36 candidates to 57 candidates (-58.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	1	58

Merged error: 0b

Counts

58 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
2.2b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-l_binary64` `add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 47

Calls

2 calls:

6.0ms	(.f64 4 (.f64 b b))
12.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(.f64 4 (.f64 b b))
50.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

simplify61.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5178	562

prune37.0ms

Filtered

27 candidates to 53 candidates (-96.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	1	54

Merged error: 0b

Counts

54 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms

sample490.0ms

Algorithm

intervals

Results

347.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Details

analyze79.0ms

sample17.0ms

simplify39.0ms

prune6.0ms

localize9.0ms

rewrite20.0ms

series130.0ms

simplify43.0ms

prune40.0ms

localize15.0ms

rewrite23.0ms

series87.0ms

simplify61.0ms

prune37.0ms

simplify2.0ms

end0.0ms

sample490.0ms

Profiling