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

valid

simplify165.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4725	13
1	4725	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: 0.1b

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))

rewrite11.0ms

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)))
6.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series93.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
29.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4931	565
1	4931	565

prune43.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize7.0ms

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))

rewrite19.0ms

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))

7.0ms

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

6.0ms

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

series109.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms

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

26.0ms

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

21.0ms

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

simplify97.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4822	644
1	4822	644

prune34.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

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

rewrite16.0ms

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))

series116.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms

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

60.0ms

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

21.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4853	753
1	4853	753

prune35.0ms

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	0	1	1
Done	1	1	2
Total	62	4	66

Merged error: 0b

Counts

66 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 (.f64 x (sqrt.f64 4647935950575487/36028797018963968)) (.f64 x (sqrt.f64 4647935950575487/36028797018963968)))))
0.3b	(.f64 (.f64 x (sqrt.f64 4647935950575487/36028797018963968)) (*.f64 x (sqrt.f64 4647935950575487/36028797018963968)))
0.3b	(*.f64 x (sqrt.f64 4647935950575487/36028797018963968))
0.3b	(*.f64 x (sqrt.f64 4647935950575487/36028797018963968))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64`
17×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`associate-l_binary64`
8×	`sqrt-prod_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `pow-plus_binary64`
1×	`flip3--_binary64` `swap-sqr_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `flip--_binary64` `pow2_binary64`

Counts

4 → 101

Calls

4 calls:

6.0ms	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 (.f64 x (sqrt.f64 4647935950575487/36028797018963968)) (.f64 x (sqrt.f64 4647935950575487/36028797018963968)))))
11.0ms	(.f64 (.f64 x (sqrt.f64 4647935950575487/36028797018963968)) (*.f64 x (sqrt.f64 4647935950575487/36028797018963968)))
5.0ms	(*.f64 x (sqrt.f64 4647935950575487/36028797018963968))
5.0ms	(*.f64 x (sqrt.f64 4647935950575487/36028797018963968))

series197.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 (.f64 x (sqrt.f64 4647935950575487/36028797018963968)) (.f64 x (sqrt.f64 4647935950575487/36028797018963968)))))
41.0ms	(.f64 (.f64 x (sqrt.f64 4647935950575487/36028797018963968)) (*.f64 x (sqrt.f64 4647935950575487/36028797018963968)))
24.0ms	(*.f64 x (sqrt.f64 4647935950575487/36028797018963968))
28.0ms	(*.f64 x (sqrt.f64 4647935950575487/36028797018963968))

simplify80.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4923	1023
1	4923	1023

prune58.0ms

Filtered

59 candidates to 113 candidates (-91.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes11.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	13
1	44	13

end0.0ms

sample302.0ms

Algorithm

intervals

Results

220.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify165.0ms

prune4.0ms

localize6.0ms

rewrite11.0ms

series93.0ms

simplify80.0ms

prune43.0ms

localize7.0ms

rewrite19.0ms

series109.0ms

simplify97.0ms

prune34.0ms

localize8.0ms

rewrite16.0ms

series116.0ms

simplify96.0ms

prune35.0ms

localize7.0ms

rewrite30.0ms

series197.0ms

simplify80.0ms

prune58.0ms

regimes11.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample302.0ms

Profiling