Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	258×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify8.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite22.0ms

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:

21.0ms

(* 200.0 (- x y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* 200.0 (- x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

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

prune37.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 200.0 x) (* 200.0 (- y)))

rewrite11.0ms

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:

11.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (64.0ms)

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

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

40.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))

series525.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
137.0ms	(cbrt (- x y))
136.0ms	(cbrt (- x y))
134.0ms	(cbrt (- x y))

simplify161.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	261	760
1	912	723
2	4506	670
3	5001	660

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 200.0 (- (* x x) (* y y)))
3.2b	(- (* x x) (* y y))
29.5b	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

rewrite68.0ms

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:

29.0ms	(* 200.0 (- (* x x) (* y y)))
8.0ms	(- (* x x) (* y y))
28.0ms	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

series131.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* 200.0 (- (* x x) (* y y)))
35.0ms	(- (* x x) (* y y))
54.0ms	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (45.0ms)

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

prune117.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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

sample288.0ms

Algorithm

intervals

Results

111.0ms	7917×	body	80	valid
3.0ms	45×	body	1280	valid
2.0ms	27×	body	2560	valid
2.0ms	40×	body	640	valid
1.0ms	24×	body	320	valid
0.0ms	9×	body	160	valid