Details

analyze108.0ms

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
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample27.0ms

Algorithm

intervals

Results

12.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	565	13
1	565	13

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 26

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 y 1))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(*.f64 x (-.f64 y 1))

simplify84.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5167	258

prune19.0ms

Filtered

18 candidates to 29 candidates (-61.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (+.f64 x -1/2))
0.0b	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 y (+.f64 x -1/2))
7.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

series39.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(*.f64 y (+.f64 x -1/2))
16.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

simplify103.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4853	464
1	4853	464

prune27.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series396.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
85.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 y)
132.0ms	(cbrt.f64 y)

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune77.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	16
1	59	16

end0.0ms

sample361.0ms

Algorithm

intervals

Results

228.0ms	7996×	body	80	valid
2.0ms	89×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze108.0ms

sample27.0ms

simplify62.0ms

prune3.0ms

localize7.0ms

rewrite8.0ms

series23.0ms

simplify84.0ms

prune19.0ms

localize6.0ms

rewrite14.0ms

series39.0ms

simplify103.0ms

prune27.0ms

localize10.0ms

rewrite11.0ms

series396.0ms

simplify97.0ms

prune77.0ms

regimes34.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample361.0ms

Profiling