Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	1×	body	1280	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

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))

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 (5.0ms)

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

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

4.0ms

(+ (* 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 (61.0ms)

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

prune32.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 500.0 x) (* 500.0 (- y)))) (cbrt (+ (* 500.0 x) (* 500.0 (- y)))))
0.6b	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))
0.6b	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))
0.6b	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
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 → 93

Calls

4 calls:

11.0ms	(* (cbrt (+ (* 500.0 x) (* 500.0 (- y)))) (cbrt (+ (* 500.0 x) (* 500.0 (- y)))))
4.0ms	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))
3.0ms	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))
3.0ms	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

404.0ms	(* (cbrt (+ (* 500.0 x) (* 500.0 (- y)))) (cbrt (+ (* 500.0 x) (* 500.0 (- y)))))
432.0ms	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))
422.0ms	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))
426.0ms	(cbrt (+ (* 500.0 x) (* 500.0 (- y))))

simplify90.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	284	1272
1	935	1185
2	3577	1109
3	5001	1092

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 500.0 (+ x y))
0.3b	(* (* 500.0 500.0) (- (* x x) (* y y)))
3.2b	(- (* x x) (* y y))
30.8b	(/ (* (* 500.0 500.0) (- (* x x) (* y y))) (* 500.0 (+ x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

9.0ms	(* 500.0 (+ x y))
8.0ms	(* (* 500.0 500.0) (- (* x x) (* y y)))
3.0ms	(- (* x x) (* y y))
12.0ms	(/ (* (* 500.0 500.0) (- (* x x) (* y y))) (* 500.0 (+ x y)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 500.0 (+ x y))
45.0ms	(* (* 500.0 500.0) (- (* x x) (* y y)))
38.0ms	(- (* x x) (* y y))
61.0ms	(/ (* (* 500.0 500.0) (- (* x x) (* y y))) (* 500.0 (+ x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	476	759
1	3015	565
2	5002	542

prune158.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes86.0ms

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

sample308.0ms

Algorithm

intervals

Results

152.0ms	8046×	body	80	valid
0.0ms	7×	body	640	valid
0.0ms	6×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	160	valid
0.0ms	2×	body	320	valid