Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

303×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`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 → 33

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
10.0ms	(* (+ x 1.0) y)

series49.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (* (+ x 1.0) y) x)
27.0ms	(* (+ x 1.0) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
3.8b	(* (- (* x x) (* 1.0 1.0)) y)
9.7b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-l` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

28.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
12.0ms	(* (- (* x x) (* 1.0 1.0)) y)
10.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series147.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
41.0ms	(* (- (* x x) (* 1.0 1.0)) y)
61.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	344	562
1	1658	502
2	5002	493

prune149.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 28

Calls

2 calls:

16.0ms	(- (+ (* 1.0 y) (* x y)) x)
3.0ms	(+ (* 1.0 y) (* x y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (+ (* 1.0 y) (* x y)) x)
36.0ms	(+ (* 1.0 y) (* x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	149	189
1	548	173
2	2172	168
3	5001	167

prune61.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 y) (* x y))
0.0b	(sqrt (+ (* 1.0 y) (* x y)))
0.0b	(sqrt (+ (* 1.0 y) (* x y)))
0.2b	(* (sqrt (+ (* 1.0 y) (* x y))) (sqrt (+ (* 1.0 y) (* x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`distribute-rgt-out` `associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

2.0ms	(+ (* 1.0 y) (* x y))
3.0ms	(sqrt (+ (* 1.0 y) (* x y)))
3.0ms	(sqrt (+ (* 1.0 y) (* x y)))
20.0ms	(* (sqrt (+ (* 1.0 y) (* x y))) (sqrt (+ (* 1.0 y) (* x y))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* 1.0 y) (* x y))
49.0ms	(sqrt (+ (* 1.0 y) (* x y)))
46.0ms	(sqrt (+ (* 1.0 y) (* x y)))
39.0ms	(* (sqrt (+ (* 1.0 y) (* x y))) (sqrt (+ (* 1.0 y) (* x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	249	773
1	1083	690
2	5002	670

prune207.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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	10	4
1	10	4

end0.0ms

sample476.0ms

Algorithm

intervals

Results

324.0ms	9123×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid