Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

306×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

9.0ms	(* (- x 1.0) z)
3.0ms	(+ (* x y) (* (- x 1.0) z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- x 1.0) z)
29.0ms	(+ (* x y) (* (- x 1.0) z))

simplify95.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
0.1b	(* (- (sqrt x) (sqrt 1.0)) z)
0.1b	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*`
10×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
8×	`sqrt-prod`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`frac-times` `flip3--` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`
2×	`associate-r/` `-commutative` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

5.0ms	(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
21.0ms	(* (- (sqrt x) (sqrt 1.0)) z)
44.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

series545.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
98.0ms	(* (- (sqrt x) (sqrt 1.0)) z)
343.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	495	767
1	2283	617
2	5001	595

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x y) 3)
1.0b	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
2.3b	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
38.8b	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `pow-exp` `sum-log` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

2.0ms	(pow (* x y) 3)
28.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
7.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
63.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series587.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (* x y) 3)
107.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
151.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
277.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify103.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	454	1634
1	2437	1489
2	5002	1484

prune273.0ms

Pruning

3 alts after pruning (0 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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample694.0ms

Algorithm

intervals

Results

479.0ms

10176×

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