Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

336×

body

valid

simplify27.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* x 0.5)))

rewrite17.0ms

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:

17.0ms

(* x (- 1.0 (* x 0.5)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* x (- 1.0 (* x 0.5)))

simplify1.4s

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (pow x 2))
0.0b	(+ (* x 1.0) (- (* 0.5 (pow x 2))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

12.0ms	(* 0.5 (pow x 2))
8.0ms	(+ (* x 1.0) (- (* 0.5 (pow x 2))))

series105.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* 0.5 (pow x 2))
78.0ms	(+ (* x 1.0) (- (* 0.5 (pow x 2))))

simplify2.4s

Counts

48 → 48

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	82	476
1	206	423
2	657	370
3	2663	336
done	5000	333

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* x 0.5)))
0.0b	(sqrt (- 1.0 (* x 0.5)))
0.0b	(* x (sqrt (- 1.0 (* x 0.5))))
0.1b	(* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* x 0.5)))
5.0ms	(sqrt (- 1.0 (* x 0.5)))
18.0ms	(* x (sqrt (- 1.0 (* x 0.5))))
44.0ms	(* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (- 1.0 (* x 0.5)))
39.0ms	(sqrt (- 1.0 (* x 0.5)))
83.0ms	(* x (sqrt (- 1.0 (* x 0.5))))
72.0ms	(* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))

simplify1.8s

Counts

95 → 95

Iterations

Useful iterations: 3 (849.0ms)

Iter	Nodes	Cost
0	128	1511
1	325	1215
2	923	1091
3	3024	1079
done	5000	1079

prune165.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample308.0ms

Algorithm

intervals

Results

161.0ms

10569×

body

valid