Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample7.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x 3) x)

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 3) x)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 (*.f64 x 3) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4932	168
1	4932	168

prune15.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
22.6b	(sqrt.f64 (.f64 x (.f64 x 3)))
22.6b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `pow-sqr_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

5.0ms	(.f64 x (.f64 x 3))
12.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 x (.f64 x 3))
62.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
20.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
21.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

simplify88.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5003	737

prune56.0ms

Filtered

53 candidates to 120 candidates (-126.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.4b	(*.f64 x (sqrt.f64 3))
22.6b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-l_binary64`
8×	`pow-prod-down_binary64`
6×	`sqrt-prod_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-pow1_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64`

Counts

4 → 71

Calls

4 calls:

7.0ms	(.f64 x (.f64 x 3))
7.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
5.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 x (.f64 x 3))
43.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
27.0ms	(*.f64 x (sqrt.f64 3))
22.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

simplify86.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5071	755

prune49.0ms

Filtered

49 candidates to 83 candidates (-69.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (*.f64 x (sqrt.f64 3))))
0.4b	(*.f64 x (sqrt.f64 3))
0.4b	(*.f64 x (sqrt.f64 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
14×	`pow1_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
8×	`sqrt-prod_binary64`
5×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 69

Calls

3 calls:

3.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (*.f64 x (sqrt.f64 3))))
5.0ms	(*.f64 x (sqrt.f64 3))
5.0ms	(*.f64 x (sqrt.f64 3))

series65.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (*.f64 x (sqrt.f64 3))))
23.0ms	(*.f64 x (sqrt.f64 3))
23.0ms	(*.f64 x (sqrt.f64 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5096	713

prune40.0ms

Filtered

42 candidates to 78 candidates (-85.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample207.0ms

Algorithm

intervals

Results

125.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample7.0ms

simplify12.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series20.0ms

simplify88.0ms

prune15.0ms

localize5.0ms

rewrite29.0ms

series130.0ms

simplify88.0ms

prune56.0ms

localize8.0ms

rewrite24.0ms

series110.0ms

simplify86.0ms

prune49.0ms

localize5.0ms

rewrite17.0ms

series65.0ms

simplify89.0ms

prune40.0ms

regimes27.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample207.0ms

Profiling