Details

analyze62.0ms

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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`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` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5044	220

prune34.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x y) 1.0) (.f64 (.f64 x y) (neg.f64 y)))
0.2b	(.f64 (.f64 x y) (neg.f64 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `neg-mul-1_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (.f64 (.f64 x y) 1.0) (.f64 (.f64 x y) (neg.f64 y)))
6.0ms	(.f64 (.f64 x y) (neg.f64 y))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 (.f64 (.f64 x y) 1.0) (.f64 (.f64 x y) (neg.f64 y)))
8.0ms	(.f64 (.f64 x y) (neg.f64 y))

simplify70.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4879	343
1	4879	343

prune44.0ms

Filtered

29 candidates to 45 candidates (-55.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x y) 1.0) (neg.f64 (.f64 x (.f64 y y))))
9.8b	(.f64 x (.f64 y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64`
2×	`sum-log_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `associate-r_binary64` `neg-sub0_binary64` `unswap-sqr_binary64` `neg-log_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+.f64 (.f64 (.f64 x y) 1.0) (neg.f64 (.f64 x (.f64 y y))))
6.0ms	(.f64 x (.f64 y y))

series22.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 (.f64 (.f64 x y) 1.0) (neg.f64 (.f64 x (.f64 y y))))
7.0ms	(.f64 x (.f64 y y))

simplify51.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5237	292

prune40.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 y y) (*.f64 1.0 y))

1.0b

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

10.7b

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`*-un-lft-identity_binary64` `difference-of-squares_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
8×	`pow1_binary64` `sqr-pow_binary64`
6×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`difference-cubes_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

5.0ms

(+.f64 (*.f64 y y) (*.f64 1.0 y))

20.0ms

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

22.0ms

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

series75.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms

(+.f64 (*.f64 y y) (*.f64 1.0 y))

28.0ms

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

37.0ms

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5812	1300

prune112.0ms

Filtered

60 candidates to 92 candidates (-53.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

regimes91.0ms

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	46	11
1	46	11

end0.0ms

sample291.0ms

Algorithm

intervals

Results

170.0ms	8000×	body	80	valid
4.0ms	188×	body	80	invalid

Details

analyze62.0ms

sample12.0ms

simplify19.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series12.0ms

simplify42.0ms

prune34.0ms

localize6.0ms

rewrite15.0ms

series23.0ms

simplify70.0ms

prune44.0ms

localize7.0ms

rewrite13.0ms

series22.0ms

simplify51.0ms

prune40.0ms

localize13.0ms

rewrite49.0ms

series75.0ms

simplify51.0ms

prune112.0ms

regimes91.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample291.0ms

Profiling