Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

322×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (+ z x)))
0.0b	(* y (+ z x))

rewrite9.0ms

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-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series54.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (* y (+ z x)))
28.0ms	(* y (+ z x))

simplify104.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (* z y)) (* x y))
0.0b	(+ x (* z y))

rewrite8.0ms

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-+l+`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+ (+ x (* z y)) (* x y))
3.0ms	(+ x (* z y))

series51.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (+ x (* z y)) (* x y))
25.0ms	(+ x (* z y))

simplify64.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	160	150
1	619	135
2	2474	133
3	5002	133

prune53.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ z x))
0.2b	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
3.7b	(sqrt (* y (+ z x)))
3.7b	(sqrt (* y (+ z x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* y (+ z x))
12.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
4.0ms	(sqrt (* y (+ z x)))
4.0ms	(sqrt (* y (+ z x)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (+ z x))
24.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
52.0ms	(sqrt (* y (+ z x)))
49.0ms	(sqrt (* y (+ z x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	270	516
1	1261	463
2	5001	447

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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	11	4
1	11	4

end0.0ms

sample396.0ms

Algorithm

intervals

Results

188.0ms

10108×

body

valid