Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

344×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	22	6
3	26	6
done	26	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b	(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

8.0ms

(* x (+ 1.0 (* y y)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* x (+ 1.0 (* y y)))

simplify1.5s

Counts

27 → 27

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	52	263
1	147	256
2	460	199
3	1573	199
done	5000	199

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 1 expressions with local error:

10.2b

(* (pow y 2) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(* (pow y 2) x)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (pow y 2) x)

simplify4.4s

Counts

32 → 32

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	51	241
1	104	222
2	345	189
3	1124	189
4	4098	189
done	5000	189

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (* x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

8.0ms

(* y (* x y))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* y (* x y))

simplify2.4s

Counts

23 → 23

Iterations

Useful iterations: 4 (372.0ms)

Iter	Nodes	Cost
0	36	166
1	83	163
2	248	133
3	438	133
4	686	132
5	1642	132
done	5000	132

prune40.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series733.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
179.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify3.8s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	65	554
1	119	495
2	322	423
3	1163	405
4	3785	400
done	5000	400

prune213.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
done	11	9

end0.0ms

sample344.0ms

Algorithm

intervals

Results

186.0ms

10714×

body

valid