Details

analyze71.0ms

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%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms	253×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	5
1	41	5

prune9.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_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-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

simplify50.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4880	159
1	4880	159

prune28.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 30))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 30))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 30))

simplify57.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4969	108
1	4969	108

prune15.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 d2 30))
4.0ms	(sqrt.f64 (+.f64 d2 30))
13.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
6.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4996	931
1	4996	931

prune82.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample400.0ms

Algorithm

intervals

Results

247.0ms	7853×	body	80	valid
8.0ms	60×	body	1280	valid
8.0ms	54×	body	640	valid
3.0ms	89×	body	80	invalid
2.0ms	21×	body	320	valid
1.0ms	12×	body	160	valid

Details

analyze71.0ms

sample20.0ms

simplify6.0ms

prune9.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify50.0ms

prune28.0ms

localize5.0ms

rewrite5.0ms

series7.0ms

simplify57.0ms

prune15.0ms

localize6.0ms

rewrite29.0ms

series28.0ms

simplify50.0ms

prune82.0ms

regimes78.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample400.0ms

Profiling