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	80	valid
0.0ms	1×	body	80	invalid

simplify169.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (160.0ms)

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: 0.0b

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))

rewrite12.0ms

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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
32.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4931	565
1	4931	565

prune36.0ms

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))

series111.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms

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

27.0ms

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

22.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4822	644
1	4822	644

prune36.0ms

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 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

0.1b

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

0.2b

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

7.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

8.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

44.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

61.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

simplify129.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5152	1010

prune54.0ms

Filtered

48 candidates to 80 candidates (-66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	81	4	85

Merged error: 0b

Counts

85 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (.f64 x x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) x))))
0.2b	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (.f64 x x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) x)))
0.2b	(.f64 (.f64 x x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) x))
0.3b	(*.f64 (sqrt.f64 4647935950575487/36028797018963968) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`associate-l_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
3×	`*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

5.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (.f64 x x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) x))))
12.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (.f64 x x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) x)))
8.0ms	(.f64 (.f64 x x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) x))
5.0ms	(*.f64 (sqrt.f64 4647935950575487/36028797018963968) x)

series211.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (.f64 x x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) x))))
54.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (.f64 x x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) x)))
37.0ms	(.f64 (.f64 x x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) x))
29.0ms	(*.f64 (sqrt.f64 4647935950575487/36028797018963968) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4959	1040
1	4959	1040

prune55.0ms

Filtered

53 candidates to 97 candidates (-83.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes10.0ms

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	37	13
1	37	13

end0.0ms

sample303.0ms

Algorithm

intervals

Results

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

Details

analyze4.0ms

sample11.0ms

simplify169.0ms

prune4.0ms

localize6.0ms

rewrite12.0ms

series90.0ms

simplify82.0ms

prune36.0ms

localize7.0ms

rewrite19.0ms

series111.0ms

simplify93.0ms

prune36.0ms

localize8.0ms

rewrite22.0ms

series199.0ms

simplify129.0ms

prune54.0ms

localize9.0ms

rewrite33.0ms

series211.0ms

simplify59.0ms

prune55.0ms

regimes10.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample303.0ms

Profiling