Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

311×

body

valid

simplify46.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

rewrite13.0ms

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:

6.0ms	(* x (- y 1.0))
6.0ms	(- (* x (- y 1.0)) (* y 0.5))

series60.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (- y 1.0))
29.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify71.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2660	196
3	5003	196

prune77.0ms

Filtered

48 candidates to 29 candidates (60.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series714.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
172.0ms	(cbrt x)
172.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify85.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune202.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (1 fresh and 2 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)))
3.1b	(* x (- (pow y 3) (pow 1.0 3)))
14.3b	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

rewrite68.0ms

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:

20.0ms	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
9.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
17.0ms	(* x (- (pow y 3) (pow 1.0 3)))
19.0ms	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
24.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
79.0ms	(* x (- (pow y 3) (pow 1.0 3)))
150.0ms	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (64.0ms)

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

prune295.0ms

Filtered

108 candidates to 72 candidates (66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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	13	5
1	13	5

end0.0ms

sample369.0ms

Algorithm

intervals

Results

225.0ms	9152×	body	80	valid
0.0ms	1×	body	1280	valid