Details

sample10.0ms

Algorithm

intervals

Results

3.0ms	256×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

12.0ms

(* 500.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 500.0 (- x y))

simplify96.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166

prune52.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

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)))

simplify69.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	112	99
1	475	79
2	2202	76
3	5002	75

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 500.0 x (* 500.0 (- y)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma 500.0 x (* 500.0 (- y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	55
1	75	46
2	314	46
3	1570	46
4	5003	46

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 500.0 (- x y))
0.1b	(sqrt (* 500.0 (- x y)))
0.1b	(sqrt (* 500.0 (- x y)))
0.2b	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`add-cube-cbrt`
20×	`associate-*r/`
18×	`prod-diff`
16×	`sqrt-div`
12×	`pow1/2`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

12.0ms	(* 500.0 (- x y))
13.0ms	(sqrt (* 500.0 (- x y)))
11.0ms	(sqrt (* 500.0 (- x y)))
28.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 500.0 (- x y))
138.0ms	(sqrt (* 500.0 (- x y)))
157.0ms	(sqrt (* 500.0 (- x y)))
94.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	380	847
1	1824	662
2	5001	640

prune210.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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	9	3
1	13	3
2	14	3
3	14	3

end0.0ms

sample234.0ms

Algorithm

intervals

Results

113.0ms	8049×	body	80	valid
1.0ms	14×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	6×	body	320	valid
0.0ms	6×	body	160	valid