Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify157.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	107
7	107
6	101
5	92
4	76
3	53
2	25
1	11
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

74.0ms

(* (+ a b) (+ a b))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (+ a b) (+ a b))

simplify5.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	3909
2	781
1	224
0	62

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.3b	(* a (* a a))
0.4b	(/ (* (+ (* a (* a a)) (* (* b b) b)) (+ (* a (* a a)) (* (* b b) b))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
0.4b	(* (+ (* a (* a a)) (* (* b b) b)) (+ (* a (* a a)) (* (* b b) b)))
0.5b	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

rewrite967.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
25×	`add-exp-log` `add-cbrt-cube`
24×	`flip3-+` `flip-+`
18×	`add-sqr-sqrt`
16×	`frac-times`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-r/` `associate-r` `associate-l/` `associate-/r/` `associate-/l/`
7×	`swap-sqr` `pow-prod-up`
5×	`cube-unmult` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `pow3` `sum-cubes` `add-log-exp`
3×	`pow2` `pow-plus` `pow-sqr` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 134

Calls

4 calls:

39.0ms	(* a (* a a))
235.0ms	(/ (* (+ (* a (* a a)) (* (* b b) b)) (+ (* a (* a a)) (* (* b b) b))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
413.0ms	(* (+ (* a (* a a)) (* (* b b) b)) (+ (* a (* a a)) (* (* b b) b)))
268.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* a (* a a))
111.0ms	(/ (* (+ (* a (* a a)) (* (* b b) b)) (+ (* a (* a a)) (* (* b b) b))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
117.0ms	(* (+ (* a (* a a)) (* (* b b) b)) (+ (* a (* a a)) (* (* b b) b)))
122.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

simplify5.4s

Counts

146 → 146

Iterations

Iter	Nodes
done	5024
2	4072
1	810
0	205

prune946.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ a b))
0.0b	(sqrt (+ a b))
0.3b	(* (sqrt (+ a b)) (+ a b))
0.3b	(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`pow1`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`sqrt-prod`
16×	`associate-*r/`
15×	`pow-prod-up`
14×	`associate-l`
12×	`sqrt-pow1` `pow1/2`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

16.0ms	(sqrt (+ a b))
16.0ms	(sqrt (+ a b))
85.0ms	(* (sqrt (+ a b)) (+ a b))
167.0ms	(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ a b))
59.0ms	(sqrt (+ a b))
95.0ms	(* (sqrt (+ a b)) (+ a b))
67.0ms	(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

simplify2.5s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	1828
1	580
0	180

prune973.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes285.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample834.0ms

Algorithm

intervals

Results

285.0ms	8000×	body	80	valid
218.0ms	8000×	pre	80	true