Details

analyze7.0ms

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
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample13.0ms

Algorithm

intervals

Results

5.0ms	232×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	320	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	404	7
1	404	7

prune6.0ms

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: 0.2b

Counts

2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 6 (*.f64 x -9))
0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+.f64 6 (*.f64 x -9))
6.0ms	(.f64 x (+.f64 6 (.f64 x -9)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 6 (*.f64 x -9))
6.0ms	(.f64 x (+.f64 6 (.f64 x -9)))

simplify63.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4883	309
1	4883	309

prune52.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
0.1b	(.f64 x (.f64 x -9))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
5.0ms	(.f64 x (.f64 x -9))

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
3.0ms	(.f64 x (.f64 x -9))

simplify32.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4932	258
1	4932	258

prune40.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	36	8	44

Merged error: 0.0b

Counts

44 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
0.2b	(.f64 (.f64 x x) -9)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
7.0ms	(.f64 (.f64 x x) -9)

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
5.0ms	(.f64 (.f64 x x) -9)

simplify62.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5877	263

prune36.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	36	8	44

Merged error: 0.0b

Counts

44 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
7.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
10.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
10.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
10.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4936	1171
1	4936	1171

prune111.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

regimes42.0ms

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	11	9
1	11	9

end0.0ms

sample328.0ms

Algorithm

intervals

Results

169.0ms	7186×	body	80	valid
35.0ms	337×	body	1280	valid
22.0ms	267×	body	640	valid
8.0ms	130×	body	320	valid
3.0ms	80×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze7.0ms

sample13.0ms

simplify23.0ms

prune6.0ms

localize4.0ms

rewrite10.0ms

series10.0ms

simplify63.0ms

prune52.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify32.0ms

prune40.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify62.0ms

prune36.0ms

localize9.0ms

rewrite26.0ms

series42.0ms

simplify40.0ms

prune111.0ms

regimes42.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample328.0ms

Profiling