Details

analyze3.0ms

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%	33.4%	13
66.6%	0%	33.4%	14

sample10.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4975	9
1	4975	9

prune2.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`-un-lft-identity_binary64` `sub-neg_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4915	272
1	4915	272

prune34.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
0.0b	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
0.2b	(.f64 (.f64 x x) 3.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64` `unswap-sqr_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64`
2×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `sqr-pow_binary64` `cube-neg_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unsub-neg_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 77

Calls

3 calls:

12.0ms	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
7.0ms	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
6.0ms	(.f64 (.f64 x x) 3.0)

series22.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
13.0ms	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
4.0ms	(.f64 (.f64 x x) 3.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5154	609

prune70.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
0.2b	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
9.0ms	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

series18.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
9.0ms	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5524	490

prune47.0ms

Filtered

30 candidates to 52 candidates (-73.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0b

Counts

57 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))
0.1b	(.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (*.f64 x 2.0))))
0.2b	(.f64 x (/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (*.f64 x 2.0))))
0.3b	(/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (.f64 x 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `times-frac_binary64`
5×	`associate-*r/_binary64`
4×	`cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 89

Calls

4 calls:

5.0ms	(-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))
7.0ms	(.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (*.f64 x 2.0))))
12.0ms	(.f64 x (/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (*.f64 x 2.0))))
10.0ms	(/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (.f64 x 2.0)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))
12.0ms	(.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (*.f64 x 2.0))))
17.0ms	(.f64 x (/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (*.f64 x 2.0))))
20.0ms	(/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (.f64 x 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4967	1249
1	4967	1249

prune102.0ms

Filtered

74 candidates to 101 candidates (-36.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 0b

Counts

107 → 6

regimes34.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample287.0ms

Algorithm

intervals

Results

195.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify116.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify75.0ms

prune34.0ms

localize7.0ms

rewrite27.0ms

series22.0ms

simplify75.0ms

prune70.0ms

localize5.0ms

rewrite16.0ms

series18.0ms

simplify39.0ms

prune47.0ms

localize9.0ms

rewrite36.0ms

series56.0ms

simplify63.0ms

prune102.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample287.0ms

Profiling