Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

315×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x y) (* (- x 1.0) z))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (* x y) (* (- x 1.0) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	113	100
1	391	88
2	1701	88
3	5002	88

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- x 1.0) z) (* (- x 1.0) z))
0.3b	(* (* x y) (* x y))
4.4b	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
30.5b	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

26.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
10.0ms	(* (* x y) (* x y))
13.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
31.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
32.0ms	(* (* x y) (* x y))
84.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
112.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	559	1312
1	2885	1112
2	5001	1090

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* x (+ z y))
5.0ms	(- (* x (+ z y)) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* x (+ z y))
30.0ms	(- (* x (+ z y)) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	170	165
1	690	153
2	3359	151
3	5001	151

prune75.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (sqrt x) (* (sqrt x) (+ z y))) z)
0.1b	(* (sqrt x) (+ z y))
0.2b	(* (sqrt x) (* (sqrt x) (+ z y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-*r/`
5×	`associate-r` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

3 → 70

Calls

3 calls:

16.0ms	(- (* (sqrt x) (* (sqrt x) (+ z y))) z)
11.0ms	(* (sqrt x) (+ z y))
17.0ms	(* (sqrt x) (* (sqrt x) (+ z y)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* (sqrt x) (* (sqrt x) (+ z y))) z)
70.0ms	(* (sqrt x) (+ z y))
45.0ms	(* (sqrt x) (* (sqrt x) (+ z y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	323	438
1	1427	361
2	5001	351

prune149.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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

sample436.0ms

Algorithm

intervals

Results

234.0ms

10117×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4