Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

468×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	46	9
5	50	9
done	50	9

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ (* x x) (* 3 (* y y)))
21.0ms	(* 3 (* y y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x x) (* 3 (* y y)))
30.0ms	(* 3 (* y y))

simplify800.0ms

Counts

36 → 36

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	57	370
1	193	348
2	1097	296
done	5000	288

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

10.0ms	(+ (* x x) (* (* 3 y) y))
21.0ms	(* (* 3 y) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* (* 3 y) y))
35.0ms	(* (* 3 y) y)

simplify949.0ms

Counts

35 → 35

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	59	365
1	189	337
2	1221	293
done	5000	283

prune75.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 y) y)
0.4b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
17.2b	(sqrt (* (* 3 y) y))
17.2b	(sqrt (* (* 3 y) y))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

22.0ms	(* (* 3 y) y)
116.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
14.0ms	(sqrt (* (* 3 y) y))
13.0ms	(sqrt (* (* 3 y) y))

series176.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* 3 y) y)
70.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
34.0ms	(sqrt (* (* 3 y) y))
46.0ms	(sqrt (* (* 3 y) y))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	81	1103
1	217	761
2	1441	648
done	5001	634

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))))
17.2b	(sqrt (* (* 3 y) y))
17.2b	(sqrt (* (* 3 y) y))
17.2b	(sqrt (* (* 3 y) y))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

174.0ms	(* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))))
24.0ms	(sqrt (* (* 3 y) y))
23.0ms	(sqrt (* (* 3 y) y))
16.0ms	(sqrt (* (* 3 y) y))

series230.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))))
61.0ms	(sqrt (* (* 3 y) y))
54.0ms	(sqrt (* (* 3 y) y))
60.0ms	(sqrt (* (* 3 y) y))

simplify883.0ms

Counts

136 → 136

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	77	1612
1	163	914
2	728	825
done	5001	810

prune230.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

732.0ms

14187×

body

valid