Details

analyze4.0ms

Algorithm

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
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample11.0ms

Algorithm

intervals

Results

7.0ms

256×

body

128

valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4724	13
1	4724	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 42

Calls

2 calls:

4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series186.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
59.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4933	565
1	4933	565

prune35.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

0.1b

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

0.1b

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

8.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

6.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

53.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

35.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

simplify58.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4892	644
1	4892	644

prune37.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	60	5	65

Merged error: 0b

Counts

65 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

0.1b

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

0.1b

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-up_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `unswap-sqr_binary64` `pow3_binary64` `flip--_binary64`

Counts

3 → 60

Calls

3 calls:

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

6.0ms

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

10.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

series226.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

43.0ms

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

55.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

simplify87.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4858	572
1	4858	572

prune33.0ms

Filtered

35 candidates to 69 candidates (-97.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 2150310427208497/2251799813685248 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)))

0.0b

(*.f64 x (-.f64 2150310427208497/2251799813685248 (*.f64 4647935950575487/36028797018963968 (*.f64 x x))))

0.1b

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

3 → 52

Calls

3 calls:

3.0ms

(-.f64 2150310427208497/2251799813685248 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)))

6.0ms

(*.f64 x (-.f64 2150310427208497/2251799813685248 (*.f64 4647935950575487/36028797018963968 (*.f64 x x))))

6.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

series246.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms

(-.f64 2150310427208497/2251799813685248 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)))

134.0ms

(*.f64 x (-.f64 2150310427208497/2251799813685248 (*.f64 4647935950575487/36028797018963968 (*.f64 x x))))

35.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

simplify72.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4860	753
1	4860	753

prune33.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	62	4	66

Merged error: 0b

Counts

66 → 4

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms

sample308.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Details

analyze4.0ms

sample11.0ms

simplify128.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series186.0ms

simplify64.0ms

prune35.0ms

localize6.0ms

rewrite22.0ms

series233.0ms

simplify58.0ms

prune37.0ms

localize6.0ms

rewrite24.0ms

series226.0ms

simplify87.0ms

prune33.0ms

localize5.0ms

rewrite19.0ms

series246.0ms

simplify72.0ms

prune33.0ms

regimes25.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample308.0ms

Profiling