Details

sample25.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

76.0ms

(* a (+ (+ b c) d))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* a (+ (+ b c) d))

simplify100.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	114
1	738	100
2	4526	100
3	5001	100

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.0b	(+ (* a (+ b c)) (* a d))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

19.0ms	(* a (+ b c))
13.0ms	(+ (* a (+ b c)) (* a d))

series53.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* a (+ b c))
30.0ms	(+ (* a (+ b c)) (* a d))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5002	156

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a b) (* a c))
0.0b	(+ (+ (* a b) (* a c)) (* a d))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

10.0ms	(+ (* a b) (* a c))
29.0ms	(+ (+ (* a b) (* a c)) (* a d))

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* a b) (* a c))
31.0ms	(+ (+ (* a b) (* a c)) (* a d))

simplify107.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	184	187
1	772	160
2	3494	148
3	5003	148

prune69.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* a b) (* a c)) (* a d))
0.1b	(sqrt (+ (+ (* a b) (* a c)) (* a d)))
0.1b	(sqrt (+ (+ (* a b) (* a c)) (* a d)))
0.5b	(* (sqrt (+ (+ (* a b) (* a c)) (* a d))) (sqrt (+ (+ (* a b) (* a c)) (* a d))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity` `distribute-lft-out`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `swap-sqr` `flip-+` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

27.0ms	(+ (+ (* a b) (* a c)) (* a d))
29.0ms	(sqrt (+ (+ (* a b) (* a c)) (* a d)))
28.0ms	(sqrt (+ (+ (* a b) (* a c)) (* a d)))
135.0ms	(* (sqrt (+ (+ (* a b) (* a c)) (* a d))) (sqrt (+ (+ (* a b) (* a c)) (* a d))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (* a b) (* a c)) (* a d))
172.0ms	(sqrt (+ (+ (* a b) (* a c)) (* a d)))
171.0ms	(sqrt (+ (+ (* a b) (* a c)) (* a d)))
33.0ms	(* (sqrt (+ (+ (* a b) (* a c)) (* a d))) (sqrt (+ (+ (* a b) (* a c)) (* a d))))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	304	1154
1	1437	1023
2	5001	969

prune242.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes165.0ms

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	14	5
1	14	5

end0.0ms

sample609.0ms

Algorithm

intervals

Results

178.0ms	8000×	pre	80	true
141.0ms	8000×	body	80	valid