Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	250×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	21	2
3	26	2
4	26	2

prune1.0ms

Filtered

1 candidates to 0 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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- 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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

6.0ms

(* 200.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 200.0 (- x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	460	88
2	1881	88
3	5001	88

prune34.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.5b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

7.0ms	(* (cbrt 200.0) (- x y))
11.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (cbrt 200.0) (- x y))
69.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	246	492
1	1114	356
2	5002	295

prune71.0ms

Filtered

68 candidates to 34 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 200.0) (- x y))
0.3b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

7.0ms	(* (sqrt 200.0) (- x y))
12.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (sqrt 200.0) (- x y))
92.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify110.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	193	327
1	854	268
2	4407	268
3	5001	268

prune68.0ms

Filtered

67 candidates to 35 candidates (52.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Merged error: 0b

Counts

71 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 200.0 (- (* x x) (* y y)))
3.8b	(- (* x x) (* y y))
31.2b	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

6.0ms	(* 200.0 (- (* x x) (* y y)))
3.0ms	(- (* x x) (* y y))
9.0ms	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

series172.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* 200.0 (- (* x x) (* y y)))
48.0ms	(- (* x x) (* y y))
62.0ms	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	309	483
1	1609	406
2	5001	379

prune96.0ms

Filtered

74 candidates to 47 candidates (63.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	74	4	78

Merged error: 0b

Counts

78 → 4

regimes64.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample270.0ms

Algorithm

intervals

Results

136.0ms	7906×	body	80	valid
4.0ms	61×	body	1280	valid
2.0ms	40×	body	640	valid
2.0ms	22×	body	2560	valid
1.0ms	17×	body	320	valid
0.0ms	14×	body	160	valid