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

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

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))

series195.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
55.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4933	565
1	4933	565

prune39.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

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))

series238.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms

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

48.0ms

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

41.0ms

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

simplify58.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4892	644
1	4892	644

prune35.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	62	5	67

Merged error: 0b

Counts

67 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.2b

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

rewrite21.0ms

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×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `flip--_binary64`

Counts

3 → 51

Calls

3 calls:

4.0ms

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

7.0ms

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

6.0ms

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

series236.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms

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

51.0ms

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

43.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5887	644

prune34.0ms

Filtered

35 candidates to 60 candidates (-71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0b

Counts

65 → 5

localize7.0ms

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

0.1b

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

rewrite27.0ms

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)))

12.0ms

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

6.0ms

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

series232.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms

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

53.0ms

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

47.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4858	572
1	4858	572

prune28.0ms

Filtered

35 candidates to 69 candidates (-97.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes29.0ms

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

sample299.0ms

Algorithm

intervals

Results

212.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Details

analyze4.0ms

sample11.0ms

simplify130.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series195.0ms

simplify65.0ms

prune39.0ms

localize6.0ms

rewrite22.0ms

series238.0ms

simplify58.0ms

prune35.0ms

localize7.0ms

rewrite21.0ms

series236.0ms

simplify80.0ms

prune34.0ms

localize7.0ms

rewrite27.0ms

series232.0ms

simplify89.0ms

prune28.0ms

regimes29.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample299.0ms

Profiling