Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

331×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	38	7
4	44	7
done	44	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite34.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

32.0ms

(* x (- 1.0 (* x y)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* x (- 1.0 (* x y)))

simplify2.8s

Counts

27 → 27

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	51	273
1	122	270
2	332	236
3	1181	236
done	5000	236

prune74.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite28.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

20.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt x) (cbrt x))
388.0ms	(cbrt x)
346.0ms	(cbrt x)
322.0ms	(cbrt x)

simplify5.3s

Counts

85 → 85

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune229.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
0.3b	(* (* x y) (* x y))
8.4b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`pow2` `frac-2neg` `flip3-+` `swap-sqr` `clear-num` `flip-+` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

34.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
46.0ms	(* (* x y) (* x y))
42.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
39.0ms	(* (* x y) (* x y))
140.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	131	1465
1	367	1337
2	1505	1085
done	5001	941

prune211.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 (* x y)))
0.3b	(* (* x y) (* x y))
1.0b	(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
3.6b	(* (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
55×	`add-sqr-sqrt`
45×	`pow1`
39×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
31×	`associate-r` `add-cbrt-cube`
18×	`cbrt-div` `pow-prod-down`
16×	`associate-l` `prod-exp` `cbrt-unprod`
13×	`difference-of-squares`
12×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `unswap-sqr`
5×	`frac-times`
4×	`pow-sqr` `pow-prod-up` `associate-/l*` `add-log-exp`
3×	`associate-r/` `associate-l/` `div-inv`
2×	`pow-plus` `*-commutative` `associate-/l/`
1×	`pow2` `flip3--` `frac-2neg` `pow1/3` `div-sub` `swap-sqr` `clear-num` `flip--`

Counts

4 → 173

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 (* x y)))
36.0ms	(* (* x y) (* x y))
52.0ms	(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
180.0ms	(* (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt (+ 1.0 (* x y)))
49.0ms	(* (* x y) (* x y))
359.0ms	(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
130.0ms	(* (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

simplify2.7s

Counts

185 → 185

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	301	5458
1	902	5221
2	3675	4495
done	5000	4364

prune702.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes127.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample808.0ms

Algorithm

intervals

Results

394.0ms

10642×

body

valid