Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	44	35
3	119	35
4	298	35
5	491	35
6	609	35
7	824	35
8	1167	35
9	4270	35
done	5000	35

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite89.0ms

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:

7.0ms	(/ (* 2.0 t) (+ 1.0 t))
11.0ms	(/ (+ 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)))))
33.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
30.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* 2.0 t) (+ 1.0 t))
121.0ms	(/ (+ 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)))))
48.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify1.4s

Counts

202 → 202

Iterations

Useful iterations: 2 (445.0ms)

Iter	Nodes	Cost
0	217	5087
1	640	4515
2	2510	3623
done	5001	3623

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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:

11.0ms	(/ (* 2.0 t) (+ 1.0 t))
20.0ms	(/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
34.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
29.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* 2.0 t) (+ 1.0 t))
117.0ms	(/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
50.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify1.2s

Counts

202 → 202

Iterations

Useful iterations: 2 (439.0ms)

Iter	Nodes	Cost
0	214	5087
1	631	4541
2	2455	3623
done	5000	3623

prune365.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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)))
0.0b	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
1.7b	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log` `add-cbrt-cube`
49×	`*-un-lft-identity`
40×	`times-frac`
30×	`prod-exp` `cbrt-unprod`
25×	`add-sqr-sqrt`
24×	`cbrt-undiv` `swap-sqr` `div-exp`
21×	`add-cube-cbrt`
20×	`associate-r` `associate-l`
19×	`pow1`
16×	`associate-/r/`
12×	`distribute-lft-out`
8×	`flip3-+` `flip-+` `div-inv`
7×	`add-log-exp`
3×	`log-prod` `log-pow`
2×	`pow2` `frac-times` `exp-prod` `exp-to-pow` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 158

Calls

4 calls:

30.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
30.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
2.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
88.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
53.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify1.1s

Counts

170 → 170

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	160	3648
1	461	3208
2	1842	2471
done	5000	2471

prune352.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (pow 2.0 3) (pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)) (* (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ (* 2.0 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (* (/ 2.0 (/ (+ 1.0 t) t)) 2.0))))))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
0.1b	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)
0.1b	(/ 2.0 (/ (+ 1.0 t) t))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
93×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
57×	`add-exp-log` `add-cbrt-cube`
19×	`cbrt-undiv` `div-exp`
17×	`prod-exp` `associate-/r*` `cbrt-unprod`
16×	`distribute-lft-out`
13×	`pow1` `pow-exp` `associate-/r/` `rem-cube-cbrt`
11×	`unpow-prod-down` `cube-prod`
9×	`flip3-+` `flip-+`
8×	`div-inv` `associate-/l*`
7×	`pow-pow`
6×	`pow-unpow`
5×	`frac-times`
4×	`cube-div` `add-log-exp`
3×	`associate-r/` `associate-l/`
2×	`cube-mult` `pow-to-exp` `frac-2neg` `unpow3` `clear-num` `sum-cubes` `associate-/l/` `sqr-pow`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up`

Counts

4 → 204

Calls

4 calls:

40.0ms	(/ (+ (pow 2.0 3) (pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)) (* (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ (* 2.0 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (* (/ 2.0 (/ (+ 1.0 t) t)) 2.0))))))
8.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
16.0ms	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)
12.0ms	(/ 2.0 (/ (+ 1.0 t) t))

series460.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(/ (+ (pow 2.0 3) (pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)) (* (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ (* 2.0 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (* (/ 2.0 (/ (+ 1.0 t) t)) 2.0))))))
66.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
79.0ms	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)
39.0ms	(/ 2.0 (/ (+ 1.0 t) t))

simplify1.8s

Counts

216 → 216

Iterations

Useful iterations: 2 (683.0ms)

Iter	Nodes	Cost
0	403	6000
1	1130	4815
2	4615	4084
done	5000	4084

prune741.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	20	39
done	20	39

end0.0ms

sample326.0ms

Algorithm

intervals

Results

232.0ms

8000×

body

valid