Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

10.0ms	(+ (* x (* x x)) (* x x))
6.0ms	(* x (* x x))

series94.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x (* x x)) (* x x))
31.0ms	(* x (* x x))

simplify92.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	158	147
1	646	107
2	2546	106
3	5002	102

prune43.0ms

Filtered

43 candidates to 25 candidates (58.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Merged error: 0.0b

Counts

45 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 1) (* x x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-l*`
3×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

8.0ms

(* (+ x 1) (* x x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (+ x 1) (* x x))

simplify80.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	130	113
1	567	94
2	2874	93
3	5002	93

prune26.0ms

Filtered

25 candidates to 14 candidates (56.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 3) (* x x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`cube-mult`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `distribute-lft1-in` `flip3-+` `unpow3` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+ (pow x 3) (* x x))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(+ (pow x 3) (* x x))

simplify67.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	93	78
1	430	67
2	1740	66
3	5001	66

prune22.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	17	4	21

Merged error: 0b

Counts

21 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) x)
0.0b	(* x (+ (* x x) x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-out` `distribute-lft1-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* x x) x)
7.0ms	(* x (+ (* x x) x))

series97.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) x)
59.0ms	(* x (+ (* x x) x))

simplify117.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	147	175
1	799	152
2	3842	148
3	5001	147

prune42.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Merged error: 0b

Counts

47 → 4

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample351.0ms

Algorithm

intervals

Results

148.0ms	8000×	body	80	valid
104.0ms	8000×	pre	80	true