Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify8.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	44	35
3	117	35
4	299	35
5	498	35
6	654	35
7	864	35
8	1159	35
9	4727	35
done	5001	35

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log` `add-cbrt-cube`
62×	`*-un-lft-identity`
53×	`times-frac`
34×	`add-sqr-sqrt`
31×	`prod-exp` `cbrt-unprod`
30×	`add-cube-cbrt`
27×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
18×	`pow1`
14×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`div-inv`
7×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

32.0ms	(/ (* 2.0 t) (+ 1.0 t))
51.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
75.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
104.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (* 2.0 t) (+ 1.0 t))
223.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
56.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
63.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify2.0s

Counts

202 → 202

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	217	5087
1	611	4515
2	2280	3625
done	5000	3300

prune607.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 2.0 (pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))) (sqrt (+ 1.0 (pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1)))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.6b	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))
0.6b	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
48×	`times-frac`
44×	`add-exp-log`
42×	`add-cbrt-cube`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
22×	`sqrt-prod`
21×	`distribute-lft-out`
19×	`pow1`
15×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
12×	`swap-sqr`
10×	`associate-r` `associate-l` `associate-/r/`
8×	`unpow-prod-down` `pow-unpow` `pow-pow`
7×	`associate-/r*`
6×	`flip3-+` `flip-+`
5×	`div-inv`
4×	`sqrt-pow1` `associate-/l*` `add-log-exp`
3×	`pow-prod-down`
2×	`unpow-prod-up` `pow-to-exp` `pow1/2` `sqrt-div` `pow-exp` `sqrt-pow2` `associate-/l/` `sqr-pow`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 170

Calls

4 calls:

84.0ms	(/ (+ 2.0 (pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))) (sqrt (+ 1.0 (pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1)))))
97.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
22.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))
16.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.4s	(/ (+ 2.0 (pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))) (sqrt (+ 1.0 (pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1)))))
90.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
313.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))
278.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))

simplify2.7s

Counts

182 → 182

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	393	5772
1	1105	4702
2	3987	4066
done	5000	4021

prune962.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes82.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	35
1	14	35
done	14	35

end0.0ms

sample807.0ms

Algorithm

intervals

Results

606.0ms

8000×

body

valid