Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	37	7
4	41	7
done	41	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x 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×	`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:

7.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify852.0ms

Counts

27 → 27

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	51	273
1	122	270
2	339	236
3	1237	236
done	5001	236

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (- (* y (* x x))))
8.6b	(* y (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `associate-r` `unsub-neg` `neg-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+ (* 1.0 x) (- (* y (* x x))))
6.0ms	(* y (* x x))

series70.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* 1.0 x) (- (* y (* x x))))
26.0ms	(* y (* x x))

simplify2.7s

Counts

40 → 40

Iterations

Useful iterations: 3 (726.0ms)

Iter	Nodes	Cost
0	65	406
1	183	377
2	680	297
3	3562	289
done	5000	289

prune72.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.8b	(* (cbrt y) (* x x))
5.8b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
7.0ms	(* (cbrt y) (* x x))
27.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x x)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
177.0ms	(cbrt y)
116.0ms	(* (cbrt y) (* x x))
49.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x x)))

simplify2.8s

Counts

85 → 85

Iterations

Useful iterations: 3 (825.0ms)

Iter	Nodes	Cost
0	83	830
1	213	800
2	752	566
3	4746	460
done	5000	460

prune157.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* x (- 1.0 (* x y))))
0.1b	(* x (- 1.0 (* x y)))
0.1b	(* x (- 1.0 (* x y)))
0.2b	(* (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
18×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1/2`
10×	`add-exp-log` `associate-r` `associate-l` `pow-prod-up` `add-cbrt-cube`
9×	`flip3--` `flip--`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `swap-sqr` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 118

Calls

4 calls:

3.0ms	(sqrt (* x (- 1.0 (* x y))))
7.0ms	(* x (- 1.0 (* x y)))
7.0ms	(* x (- 1.0 (* x y)))
21.0ms	(* (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (* x (- 1.0 (* x y))))
43.0ms	(* x (- 1.0 (* x y)))
41.0ms	(* x (- 1.0 (* x y)))
45.0ms	(* (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))))

simplify1.8s

Counts

130 → 130

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	133	1816
1	278	1415
2	815	1277
3	3249	1246
done	5000	1245

prune201.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes71.0ms

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

sample370.0ms

Algorithm

intervals

Results

202.0ms

10630×

body

valid