Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (- y 1.0)) (* y 0.5))
0.0b	(* x (- y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
9.0ms	(* x (- y 1.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (* x (- y 1.0)) (* y 0.5))
29.0ms	(* x (- y 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2659	196
3	5002	196

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`associate-+r+` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `sub-neg` `*-un-lft-identity` `flip3-+` `diff-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

8.0ms

(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))

simplify51.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	116	149
1	370	130
2	1792	129
3	5001	129

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
0.0b	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
4.2b	(* x (- (pow y 3) (pow 1.0 3)))
17.6b	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-r`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `sum-log` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `associate-+r+` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

77.0ms	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
7.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
49.0ms	(* x (- (pow y 3) (pow 1.0 3)))
31.0ms	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
19.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
80.0ms	(* x (- (pow y 3) (pow 1.0 3)))
142.0ms	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	530	967
1	2619	849
2	5001	842

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5))))
0.0b	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))
0.0b	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))
0.3b	(* (sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5)))) (sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `associate-+r+` `sum-log` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+r-` `sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

13.0ms	(sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5))))
7.0ms	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))
7.0ms	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))
61.0ms	(* (sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5)))) (sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5)))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5))))
26.0ms	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))
25.0ms	(+ (* y x) (- (* (- 1.0) x) (* y 0.5)))
30.0ms	(* (sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5)))) (sqrt (+ (* y x) (- (* (- 1.0) x) (* y 0.5)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	256	1223
1	937	1096
2	5001	1054

prune231.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

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	19	7
1	23	7
2	24	7
3	24	7

end0.0ms

sample570.0ms

Algorithm

intervals

Results

421.0ms	9147×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid