Details

sample11.0ms

Algorithm

intervals

Results

3.0ms	259×	body	80	valid
0.0ms	1×	body	1280	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	21	2
3	26	2
4	26	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

20.0ms

(* 500.0 (- x y))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* 500.0 (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	460	88
2	1881	88
3	5001	88

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (- y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	104	90
1	435	69
2	1927	66
3	5002	65

prune24.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 500.0 (- (* x x) (* y y)))
3.2b	(- (* x x) (* y y))
29.5b	(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

28.0ms	(* 500.0 (- (* x x) (* y y)))
11.0ms	(- (* x x) (* y y))
49.0ms	(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

series118.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 500.0 (- (* x x) (* y y)))
29.0ms	(- (* x x) (* y y))
51.0ms	(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

simplify47.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	309	483
1	1609	406
2	5001	379

prune116.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x y))
0.3b	(/ 500.0 (/ 1 (- x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 145

Calls

2 calls:

14.0ms	(/ 1 (- x y))
17.0ms	(/ 500.0 (/ 1 (- x y)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1 (- x y))
25.0ms	(/ 500.0 (/ 1 (- x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	461	1022
1	2154	896
2	5001	757

prune148.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes31.0ms

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	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample272.0ms

Algorithm

intervals

Results

108.0ms	8029×	body	80	valid
0.0ms	9×	body	1280	valid
0.0ms	10×	body	640	valid
0.0ms	12×	body	320	valid
0.0ms	6×	body	2560	valid
0.0ms	1×	body	160	valid