Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

257×

body

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

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite11.0ms

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:

10.0ms

(* 500.0 (- x y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 500.0 (- x y))

simplify47.0ms

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

prune41.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:

3.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ (* 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

prune31.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 500.0 (sqrt (- x y)))
0.2b	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
15×	`add-sqr-sqrt`
14×	`sqrt-div`
11×	`*-un-lft-identity` `sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

11.0ms	(* 500.0 (sqrt (- x y)))
25.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* 500.0 (sqrt (- x y)))
33.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	277	404
1	1142	343
2	5002	331

prune105.0ms

Filtered

63 candidates to 38 candidates (60.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (- x y)) (fabs (cbrt (- x y))))
0.2b	(* (* 500.0 (* (sqrt (- x y)) (fabs (cbrt (- x y))))) (sqrt (cbrt (- x y))))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
15×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
14×	`sqrt-div` `associate-r` `sqrt-prod`
12×	`add-cube-cbrt`
10×	`cbrt-div` `associate-*l/`
9×	`flip3--` `associate-l` `flip--`
8×	`associate-*r/`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

13.0ms	(* (sqrt (- x y)) (fabs (cbrt (- x y))))
61.0ms	(* (* 500.0 (* (sqrt (- x y)) (fabs (cbrt (- x y))))) (sqrt (cbrt (- x y))))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))

series538.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sqrt (- x y)) (fabs (cbrt (- x y))))
163.0ms	(* (* 500.0 (* (sqrt (- x y)) (fabs (cbrt (- x y))))) (sqrt (cbrt (- x y))))
154.0ms	(cbrt (- x y))
148.0ms	(cbrt (- x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	542	1087
1	2169	991
2	5002	981

prune322.0ms

Filtered

105 candidates to 78 candidates (74.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

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

sample244.0ms

Algorithm

intervals

Results

120.0ms	8044×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	10×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid