Details

sample46.0ms

Algorithm

intervals

Results

15.0ms

443×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

7.0ms	(+ (* x y) (* z t))
103.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
30.0ms	(+ (+ (* x y) (* z t)) (* a b))

series318.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x y) (* z t))
223.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
59.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (* a b) (* i c))
0.0b	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
5×	`*-un-lft-identity`
4×	`frac-add`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

8.0ms	(+ (* x y) (* z t))
8.0ms	(+ (* a b) (* i c))
41.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* x y) (* z t))
38.0ms	(+ (* a b) (* i c))
234.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	349	491
1	1641	476
2	5001	456

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a b) (* i c))
0.0b	(+ (* t z) (+ (* a b) (* i c)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+ (* a b) (* i c))
17.0ms	(+ (* t z) (+ (* a b) (* i c)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* a b) (* i c))
61.0ms	(+ (* t z) (+ (* a b) (* i c)))

simplify79.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	188
1	713	177
2	2682	177
3	5001	177

prune72.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.2b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
39.0b	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

199.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
28.0ms	(+ (+ (* x y) (* z t)) (* a b))
35.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
32.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series4.0s

Counts

4 → 12

Calls

4 calls:

224.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
61.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.7s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
64.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	351	819
1	1813	738
2	5002	732

prune208.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes330.0ms

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	22	7
1	22	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

477.0ms

13551×

body

valid