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

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4759	9
1	4759	9

prune11.0ms

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))

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))

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
5.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5007	382

prune55.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

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)

0.2b

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

rewrite20.0ms

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))

series20.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms

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

7.0ms

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

4.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4916	439
1	4916	439

prune51.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Merged error: 0b

Counts

67 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
8.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

series14.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
4.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

simplify58.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5377	309

prune30.0ms

Filtered

19 candidates to 39 candidates (-105.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	39	6	45

Merged error: 0b

Counts

45 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9))))

0.1b

(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9))

19.6b

(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
8×	`add-exp-log_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `flip--_binary64` `cbrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9))))

5.0ms

(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9))

3.0ms

(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9))))

6.0ms

(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9))

8.0ms

(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 9)))

simplify62.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4947	457
1	4947	457

prune52.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	54	6	60

Merged error: 0b

Counts

60 → 6

regimes34.0ms

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	55	11
1	55	11

end0.0ms

sample308.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample12.0ms

simplify114.0ms

prune11.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify34.0ms

prune55.0ms

localize7.0ms

rewrite20.0ms

series20.0ms

simplify66.0ms

prune51.0ms

localize7.0ms

rewrite13.0ms

series14.0ms

simplify58.0ms

prune30.0ms

localize7.0ms

rewrite14.0ms

series27.0ms

simplify62.0ms

prune52.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample308.0ms

Profiling