Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	1280	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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))

rewrite7.0ms

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:

6.0ms

(* 500.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 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

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
0.4b	(* (sqrt 500.0) (- x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

9.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
7.0ms	(* (sqrt 500.0) (- x y))

series157.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
62.0ms	(* (sqrt 500.0) (- x y))

simplify35.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	193	306
1	945	268
2	5002	265

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
0.3b	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
0.4b	(* (sqrt (cbrt 500.0)) (- x y))
1.0b	(* (cbrt 500.0) (cbrt 500.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
34×	`distribute-rgt-in` `distribute-lft-in`
27×	`pow1`
25×	`associate-l`
22×	`add-exp-log`
21×	`*-un-lft-identity`
20×	`cbrt-prod` `add-cbrt-cube`
19×	`add-cube-cbrt`
14×	`sub-neg`
13×	`associate-r`
12×	`associate-*r/` `pow-prod-down` `sqrt-prod`
11×	`prod-exp` `cbrt-unprod`
7×	`unswap-sqr`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 145

Calls

4 calls:

17.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
16.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
8.0ms	(* (sqrt (cbrt 500.0)) (- x y))
5.0ms	(* (cbrt 500.0) (cbrt 500.0))

series406.0ms

Counts

4 → 10

Calls

4 calls:

126.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
179.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
101.0ms	(* (sqrt (cbrt 500.0)) (- x y))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	398	1309
1	1783	1201
2	5001	1188

prune275.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (+ (* (sqrt (cbrt 500.0)) x) (* (sqrt (cbrt 500.0)) (- y)))))
0.4b	(* (sqrt (cbrt 500.0)) x)
0.4b	(* (sqrt (cbrt 500.0)) (- y))
1.0b	(* (cbrt 500.0) (cbrt 500.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
30×	`associate-l`
24×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
20×	`pow1` `associate-r`
19×	`sqrt-prod`
15×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`unswap-sqr`
7×	`pow-prod-down`
6×	`pow1/3` `swap-sqr` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `neg-mul-1` `flip3-+` `pow-plus` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 127

Calls

4 calls:

14.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (+ (* (sqrt (cbrt 500.0)) x) (* (sqrt (cbrt 500.0)) (- y)))))
5.0ms	(* (sqrt (cbrt 500.0)) x)
7.0ms	(* (sqrt (cbrt 500.0)) (- y))
5.0ms	(* (cbrt 500.0) (cbrt 500.0))

series420.0ms

Counts

4 → 10

Calls

4 calls:

259.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (+ (* (sqrt (cbrt 500.0)) x) (* (sqrt (cbrt 500.0)) (- y)))))
76.0ms	(* (sqrt (cbrt 500.0)) x)
84.0ms	(* (sqrt (cbrt 500.0)) (- y))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	421	943
1	2091	832
2	5001	812

prune320.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes48.0ms

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	6	2
1	6	2

end0.0ms

sample384.0ms

Algorithm

intervals

Results

257.0ms	8047×	body	80	valid
0.0ms	9×	body	640	valid
0.0ms	7×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid