Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	258×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	8	83
2	15	83
3	23	83
4	30	83
5	32	83
done	32	83

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite20.0ms

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-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

18.0ms

(* 500.0 (- x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* 500.0 (- x y))

simplify4.8s

Counts

49 → 49

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	102	14042
1	222	11885
2	432	8441
3	1183	8361
4	3821	7401
done	5008	7401

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

9.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify3.0s

Counts

20 → 20

Iterations

Useful iterations: 3 (658.0ms)

Iter	Nodes	Cost
0	34	4194
1	116	2798
2	450	2708
3	1707	2653
done	5001	2653

prune134.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

21.0ms	(* (sqrt 500.0) (- x y))
57.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (sqrt 500.0) (- x y))
124.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify5.4s

Counts

125 → 125

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	186	51374
1	531	44735
2	1206	25603
3	3270	25483
done	5014	22603

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt (sqrt 500.0)) (- x y))
0.3b	(* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y)))
0.4b	(* (sqrt 500.0) (* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y))))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

187×	`distribute-rgt-in` `distribute-lft-in`
126×	`prod-diff`
104×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
96×	`add-cube-cbrt`
24×	`associate-l` `sqrt-prod`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`sub-neg`
12×	`associate-*r/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 242

Calls

3 calls:

29.0ms	(* (sqrt (sqrt 500.0)) (- x y))
43.0ms	(* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y)))
149.0ms	(* (sqrt 500.0) (* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y))))

series358.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(* (sqrt (sqrt 500.0)) (- x y))
98.0ms	(* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y)))
139.0ms	(* (sqrt 500.0) (* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y))))

simplify3.8s

Counts

251 → 251

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	332	137575
1	1073	123629
2	2262	74521
done	5000	60961

prune499.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	12	163
2	16	163
3	17	163
done	17	163

end0.0ms

sample436.0ms

Algorithm

intervals

Results

209.0ms	8035×	body	80	valid
1.0ms	9×	body	2560	valid
1.0ms	9×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid