Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	20	7
3	22	7
done	22	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b	(* x (+ 1.0 (* y y)))

rewrite27.0ms

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` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

25.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify449.0ms

Counts

25 → 25

Iterations

Useful iterations: done (448.0ms)

Iter	Nodes	Cost
0	50	247
1	161	244
2	756	208
done	5000	206

prune52.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.6b

localize6.0ms

Local error

Found 1 expressions with local error:

9.9b	(* (* y y) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

30.0ms

(* (* y y) x)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (* y y) x)

simplify635.0ms

Counts

22 → 22

Iterations

Useful iterations: done (634.0ms)

Iter	Nodes	Cost
0	37	165
1	103	160
2	711	134
done	5001	130

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (* y x))

rewrite29.0ms

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×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

28.0ms

(* y (* y x))

series29.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* y (* y x))

simplify5.2s

Counts

21 → 21

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	33	154
1	85	151
2	448	127
3	4872	121
done	5001	121

prune71.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
19.0b	(cbrt (* y (* y x)))
19.0b	(cbrt (* y (* y x)))
19.0b	(cbrt (* y (* y x)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

48.0ms	(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
28.0ms	(cbrt (* y (* y x)))
19.0ms	(cbrt (* y (* y x)))
19.0ms	(cbrt (* y (* y x)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
132.0ms	(cbrt (* y (* y x)))
112.0ms	(cbrt (* y (* y x)))
128.0ms	(cbrt (* y (* y x)))

simplify555.0ms

Counts

70 → 70

Iterations

Useful iterations: done (553.0ms)

Iter	Nodes	Cost
0	86	846
1	218	763
2	742	668
done	5000	604

prune206.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample812.0ms

Algorithm

intervals

Results

417.0ms

10672×

body

valid