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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample24.0ms

Algorithm

intervals

Results

4.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

prune3.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* 500.0 (- x y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* 500.0 (- x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune38.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (neg y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* 500.0 x) (* 500.0 (neg y)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ (* 500.0 x) (* 500.0 (neg y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5170	116

prune24.0ms

Filtered

10 candidates to 16 candidates (-60.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- x y) (cbrt 500.0))
0.2b	(* (* (cbrt 500.0) (cbrt 500.0)) (* (- x y) (cbrt 500.0)))
1.0b	(* (cbrt 500.0) (cbrt 500.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`pow1`
20×	`cbrt-prod`
19×	`add-exp-log`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`associate-r`
12×	`associate-l`
11×	`pow-prod-down`
10×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
6×	`pow1/3` `swap-sqr` `unswap-sqr`
4×	`associate-*l/`
3×	`*-commutative` `add-log-exp`
2×	`flip3--` `associate-*r/` `pow-sqr` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 90

Calls

3 calls:

7.0ms	(* (- x y) (cbrt 500.0))
14.0ms	(* (* (cbrt 500.0) (cbrt 500.0)) (* (- x y) (cbrt 500.0)))
5.0ms	(* (cbrt 500.0) (cbrt 500.0))

series16.0ms

Counts

3 → 7

Calls

3 calls:

7.0ms	(* (- x y) (cbrt 500.0))
9.0ms	(* (* (cbrt 500.0) (cbrt 500.0)) (* (- x y) (cbrt 500.0)))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5061	617

prune127.0ms

Filtered

61 candidates to 97 candidates (-59.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- x y) (cbrt 500.0))
0.2b	(* (* (pow (sqrt (cbrt 500.0)) 3) (sqrt (cbrt 500.0))) (* (- x y) (cbrt 500.0)))
1.0b	(pow (sqrt (cbrt 500.0)) 3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
19×	`add-sqr-sqrt` `prod-exp`
15×	`*-un-lft-identity` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`pow1` `sqrt-prod`
10×	`cbrt-prod`
9×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
7×	`associate-r`
6×	`associate-l`
4×	`pow-pow` `pow-prod-down` `associate-*l/`
3×	`pow-to-exp` `pow-unpow` `pow-exp` `add-log-exp`
2×	`flip3--` `sqrt-pow1` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`cube-mult` `pow1/2` `pow1/3` `unpow3` `sqrt-pow2` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

3 → 91

Calls

3 calls:

9.0ms	(* (- x y) (cbrt 500.0))
14.0ms	(* (* (pow (sqrt (cbrt 500.0)) 3) (sqrt (cbrt 500.0))) (* (- x y) (cbrt 500.0)))
4.0ms	(pow (sqrt (cbrt 500.0)) 3)

series16.0ms

Counts

3 → 7

Calls

3 calls:

6.0ms	(* (- x y) (cbrt 500.0))
9.0ms	(* (* (pow (sqrt (cbrt 500.0)) 3) (sqrt (cbrt 500.0))) (* (- x y) (cbrt 500.0)))
0.0ms	(pow (sqrt (cbrt 500.0)) 3)

simplify41.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4959	753
1	4959	753

prune147.0ms

Filtered

56 candidates to 98 candidates (-75.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Merged error: 0b

Counts

102 → 4

regimes203.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms

sample851.0ms

Algorithm

intervals

Results

112.0ms	7971×	body	80	valid
1.0ms	14×	body	1280	valid
1.0ms	10×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

Details

analyze71.0ms

sample24.0ms

simplify7.0ms

prune3.0ms

localize3.0ms

rewrite7.0ms

series5.0ms

simplify59.0ms

prune38.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify51.0ms

prune24.0ms

localize7.0ms

rewrite29.0ms

series16.0ms

simplify44.0ms

prune127.0ms

localize10.0ms

rewrite30.0ms

series16.0ms

simplify41.0ms

prune147.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample851.0ms

Profiling