Details

analyze73.0ms

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%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	365	10
1	365	10

prune3.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

6.0ms	(*.f64 x (-.f64 x y))
8.0ms	(.f64 2 (.f64 x (-.f64 x y)))

series55.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(*.f64 x (-.f64 x y))
33.0ms	(.f64 2 (.f64 x (-.f64 x y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4897	579
1	4897	579

prune27.0ms

Filtered

31 candidates to 54 candidates (-74.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

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

series56.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(.f64 2 (.f64 x x))
36.0ms	(+.f64 (.f64 2 (.f64 x x)) (.f64 y (.f64 x -2)))

simplify87.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4968	394
1	4968	394

prune21.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (cbrt.f64 (*.f64 x (-.f64 x y))))
9.9b	(cbrt.f64 (*.f64 x (-.f64 x y)))
9.9b	(cbrt.f64 (*.f64 x (-.f64 x y)))
9.9b	(cbrt.f64 (*.f64 x (-.f64 x y)))

rewrite23.0ms

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 x y))) (cbrt.f64 (*.f64 x (-.f64 x y))))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 x y)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 x y)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 x y)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (cbrt.f64 (*.f64 x (-.f64 x y))))
193.0ms	(cbrt.f64 (*.f64 x (-.f64 x y)))
196.0ms	(cbrt.f64 (*.f64 x (-.f64 x y)))
200.0ms	(cbrt.f64 (*.f64 x (-.f64 x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5223	1206

prune59.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

87 → 3

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample380.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
5.0ms	166×	body	80	invalid

Details

analyze73.0ms

sample12.0ms

simplify29.0ms

prune3.0ms

localize8.0ms

rewrite16.0ms

series55.0ms

simplify82.0ms

prune27.0ms

localize7.0ms

rewrite14.0ms

series56.0ms

simplify87.0ms

prune21.0ms

localize9.0ms

rewrite23.0ms

series821.0ms

simplify83.0ms

prune59.0ms

regimes16.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample380.0ms

Profiling