Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

257×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	21	5
4	26	5
done	26	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite37.0ms

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:

36.0ms

(* 500.0 (- x y))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* 500.0 (- x y))

simplify2.8s

Counts

29 → 29

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

16.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify3.0s

Counts

17 → 17

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	31	188
1	105	135
2	411	122
3	1584	118
done	5001	116

prune44.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)))

rewrite94.0ms

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:

40.0ms	(* (sqrt 500.0) (- x y))
52.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series202.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (sqrt 500.0) (- x y))
102.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify2.5s

Counts

67 → 67

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	86	741
1	192	536
2	720	482
3	3367	482
done	5001	480

prune113.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

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:

89.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
186.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
28.0ms	(* (sqrt (cbrt 500.0)) (- x y))
26.0ms	(* (cbrt 500.0) (cbrt 500.0))

series522.0ms

Counts

4 → 10

Calls

4 calls:

171.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
230.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
121.0ms	(* (sqrt (cbrt 500.0)) (- x y))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify1.0s

Counts

155 → 155

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	174	2468
1	391	1955
2	1424	1801
done	5001	1794

prune413.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample565.0ms

Algorithm

intervals

Results

291.0ms	8050×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	4×	body	2560	valid
1.0ms	8×	body	320	valid