Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

398×

body

valid

simplify275.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
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` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

6.0ms	(+ (* 3 (* z z)) (* x y))
7.0ms	(* 3 (* z z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* 3 (* z z)) (* x y))
25.0ms	(* 3 (* z z))

simplify81.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143

prune65.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ (* (* 3 z) z) (* x y))
7.0ms	(* (* 3 z) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify128.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141

prune63.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (pow z 2)) (* x y))
0.2b	(* 3 (pow z 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

3.0ms	(+ (* 3 (pow z 2)) (* x y))
6.0ms	(* 3 (pow z 2))

series62.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* 3 (pow z 2)) (* x y))
27.0ms	(* 3 (pow z 2))

simplify152.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	185	192
1	716	173
2	3524	171
3	5003	170

prune85.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 3) (sqrt (pow z 2)))
0.4b	(* (sqrt 3) (sqrt (pow z 2)))
18.0b	(sqrt (pow z 2))
18.0b	(sqrt (pow z 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

64×	`sqrt-prod`
54×	`add-sqr-sqrt`
22×	`associate-r`
20×	`unswap-sqr`
18×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
12×	`associate-l`
10×	`unpow2` `sqr-pow`
8×	`pow1` `add-exp-log` `rem-sqrt-square` `add-cbrt-cube`
6×	`pow1/2`
4×	`pow-prod-down` `add-log-exp`
2×	`sqrt-pow1` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

11.0ms	(* (sqrt 3) (sqrt (pow z 2)))
10.0ms	(* (sqrt 3) (sqrt (pow z 2)))
2.0ms	(sqrt (pow z 2))
2.0ms	(sqrt (pow z 2))

series85.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (sqrt 3) (sqrt (pow z 2)))
33.0ms	(* (sqrt 3) (sqrt (pow z 2)))
10.0ms	(sqrt (pow z 2))
8.0ms	(sqrt (pow z 2))

simplify69.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	139	628
1	472	558
2	2020	558
3	5002	556

prune320.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample895.0ms

Algorithm

intervals

Results

618.0ms

12066×

body

valid