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

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4759	9
1	4759	9

prune5.0ms

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)))
0.2b	(*.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)))
7.0ms	(*.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

prune35.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	0	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 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))

simplify59.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5377	309

prune21.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

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

rewrite17.0ms

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` `associate-r*_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms

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

6.0ms

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

6.0ms

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

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms

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

9.0ms

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

3.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4917	507
1	4917	507

prune29.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	61	4	65

Merged error: 0.0b

Counts

65 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(.f64 x (.f64 x 4623834933361588875239908999009/5070602400912917605986812821504))
0.2b	(*.f64 x 4623834933361588875239908999009/5070602400912917605986812821504)
28.5b	(/.f64 (-.f64 (.f64 x (.f64 x 4623834933361588875239908999009/5070602400912917605986812821504)) (.f64 21603308600652055932446485287169/1298074214633706907132624082305024 (pow.f64 x 6))) (+.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (*.f64 x 2150310427208497/2251799813685248)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`add-exp-log_binary64`
16×	`associate-r_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64` `times-frac_binary64`
7×	`prod-exp_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `sqr-pow_binary64` `associate-/r/_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 99

Calls

4 calls:

6.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
5.0ms	(.f64 x (.f64 x 4623834933361588875239908999009/5070602400912917605986812821504))
4.0ms	(*.f64 x 4623834933361588875239908999009/5070602400912917605986812821504)
12.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4623834933361588875239908999009/5070602400912917605986812821504)) (.f64 21603308600652055932446485287169/1298074214633706907132624082305024 (pow.f64 x 6))) (+.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (*.f64 x 2150310427208497/2251799813685248)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
3.0ms	(.f64 x (.f64 x 4623834933361588875239908999009/5070602400912917605986812821504))
2.0ms	(*.f64 x 4623834933361588875239908999009/5070602400912917605986812821504)
25.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4623834933361588875239908999009/5070602400912917605986812821504)) (.f64 21603308600652055932446485287169/1298074214633706907132624082305024 (pow.f64 x 6))) (+.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (*.f64 x 2150310427208497/2251799813685248)))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4988	1381
1	4988	1381

prune82.0ms

Filtered

72 candidates to 111 candidates (-54.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

regimes20.0ms

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

sample314.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample18.0ms

simplify120.0ms

prune5.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify34.0ms

prune35.0ms

localize6.0ms

rewrite13.0ms

series14.0ms

simplify59.0ms

prune21.0ms

localize5.0ms

rewrite17.0ms

series18.0ms

simplify68.0ms

prune29.0ms

localize14.0ms

rewrite30.0ms

series34.0ms

simplify46.0ms

prune82.0ms

regimes20.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample314.0ms

Profiling