Details

analyze80.0ms

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
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	33	10
1	33	10

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: 5.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b	(.f64 x (+.f64 1 (.f64 y y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4917	289
1	4917	289

prune23.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 5.6b

Counts

26 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

10.9b

(*.f64 x (*.f64 y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 y y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 x (*.f64 y y))

simplify74.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5062	189

prune12.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x y) y)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 (*.f64 x y) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5058	177

prune14.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize8.0ms

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)

series347.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
85.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 y)
83.0ms	(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

prune51.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

regimes41.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms

sample319.0ms

Algorithm

intervals

Results

183.0ms	8000×	body	80	valid
4.0ms	162×	body	80	invalid

Details

analyze80.0ms

sample12.0ms

simplify13.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series44.0ms

simplify92.0ms

prune23.0ms

localize4.0ms

rewrite6.0ms

series27.0ms

simplify74.0ms

prune12.0ms

localize4.0ms

rewrite5.0ms

series29.0ms

simplify69.0ms

prune14.0ms

localize8.0ms

rewrite11.0ms

series347.0ms

simplify97.0ms

prune51.0ms

regimes41.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample319.0ms

Profiling