Details

analyze100.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

prune9.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
7.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4943	371
1	4943	371

prune22.0ms

Filtered

21 candidates to 30 candidates (-42.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
0.0b	(.f64 x (+.f64 x (.f64 2 y)))

rewrite14.0ms

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` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
6.0ms	(.f64 x (+.f64 x (.f64 2 y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
6.0ms	(.f64 x (+.f64 x (.f64 2 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5246	437

prune20.0ms

Filtered

26 candidates to 41 candidates (-57.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
0.0b	(.f64 y (+.f64 (.f64 x 2) y))

rewrite13.0ms

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` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
7.0ms	(.f64 y (+.f64 (.f64 x 2) y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
6.0ms	(.f64 y (+.f64 (.f64 x 2) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4951	437
1	4951	437

prune20.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3)) (*.f64 y y))
0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.1b	(pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3)
33.8b	(cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

7.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3)) (*.f64 y y))
6.0ms	(.f64 x (+.f64 x (.f64 2 y)))
8.0ms	(pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3))

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3)) (*.f64 y y))
6.0ms	(.f64 x (+.f64 x (.f64 2 y)))
9.0ms	(pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3)
6.0ms	(cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 2 y))) 3))

simplify26.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5045	963

prune42.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 0b

Counts

91 → 3

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample455.0ms

Algorithm

intervals

Results

304.0ms	8000×	body	80	valid
8.0ms	213×	body	80	invalid

Details

analyze100.0ms

sample15.0ms

simplify5.0ms

prune9.0ms

localize7.0ms

rewrite13.0ms

series13.0ms

simplify74.0ms

prune22.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify42.0ms

prune20.0ms

localize8.0ms

rewrite13.0ms

series13.0ms

simplify43.0ms

prune20.0ms

localize10.0ms

rewrite25.0ms

series28.0ms

simplify26.0ms

prune42.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample455.0ms

Profiling