Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.9s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite172.0ms

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:

15.0ms	(/ (* 2.0 t) (+ 1.0 t))
34.0ms	(/ (+ 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)))
58.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* 2.0 t) (+ 1.0 t))
113.0ms	(/ (+ 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)))))
50.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify1.2s

Counts

202 → 202

Iterations

Useful iterations: done (1.2s)

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

prune377.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `pow-unpow` `pow-pow` `sqrt-pow1`
6×	`add-exp-log`
4×	`pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`unpow-prod-up` `pow-to-exp` `sqrt-div` `associate-*l/` `pow-exp` `sqrt-pow2` `distribute-lft-out` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

9.0ms	(sqrt (* (/ t (+ 1.0 t)) 2.0))
9.0ms	(sqrt (* (/ t (+ 1.0 t)) 2.0))
15.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))
17.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))

series554.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (* (/ t (+ 1.0 t)) 2.0))
91.0ms	(sqrt (* (/ t (+ 1.0 t)) 2.0))
188.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))
183.0ms	(pow (sqrt (* (/ t (+ 1.0 t)) 2.0)) (+ 3 1))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: 3 (544.0ms)

Iter	Nodes	Cost
0	121	1324
1	327	1058
2	895	922
3	3289	862
done	5001	862

prune277.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (pow t 3))
8.8b	(- (+ (* 1.0 (pow t 2)) 0.5) (* 2.0 (pow t 3)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log` `add-log-exp`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `diff-log` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `unpow3` `pow-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

12.0ms	(* 2.0 (pow t 3))
52.0ms	(- (+ (* 1.0 (pow t 2)) 0.5) (* 2.0 (pow t 3)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* 2.0 (pow t 3))
38.0ms	(- (+ (* 1.0 (pow t 2)) 0.5) (* 2.0 (pow t 3)))

simplify2.3s

Counts

51 → 51

Iterations

Useful iterations: 3 (732.0ms)

Iter	Nodes	Cost
0	83	590
1	195	538
2	649	498
3	3733	462
done	5000	462

prune92.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 16.1b

bsearch130.0ms

Steps

Iters	Range		Point
10	-2.113572165822749e-307	6.985875828902951e-295	-3.3135281885109e-310
10	-21283307590.397102	-3.152803306627408e-07	-0.9868159492179903

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	83
1	43	53
done	43	53

end0.0ms

sample346.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid