Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	46	33
3	119	33
4	313	33
5	564	33
6	766	33
7	1019	33
8	1447	33
done	5000	33

prune4.0ms

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)))

rewrite176.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 198

Calls

4 calls:

15.0ms	(/ (* 2.0 t) (+ 1.0 t))
35.0ms	(/ (+ 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)))
60.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* 2.0 t) (+ 1.0 t))
120.0ms	(/ (+ 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)))))
51.0ms	(* (/ (* 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)))

simplify1.6s

Counts

210 → 210

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	223	5239
1	630	4649
2	2388	3685
done	5000	3417

prune396.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 2.0 (+ 1.0 t)) t)
0.1b	(* (/ 2.0 (+ 1.0 t)) t)
0.6b	(pow (sqrt (* (/ 2.0 (+ 1.0 t)) t)) (+ 3 1))
0.6b	(pow (sqrt (* (/ 2.0 (+ 1.0 t)) t)) (+ 3 1))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
36×	`add-sqr-sqrt` `associate-l`
26×	`add-cube-cbrt` `times-frac`
16×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
8×	`unpow-prod-down` `pow-unpow` `pow-pow` `distribute-lft-out`
6×	`associate-r`
4×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `unpow-prod-up` `pow-to-exp` `flip3-+` `pow1/2` `div-exp` `associate-l/` `pow-exp` `sqrt-prod` `-commutative` `sqrt-pow2` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

27.0ms	(* (/ 2.0 (+ 1.0 t)) t)
30.0ms	(* (/ 2.0 (+ 1.0 t)) t)
15.0ms	(pow (sqrt (* (/ 2.0 (+ 1.0 t)) t)) (+ 3 1))
15.0ms	(pow (sqrt (* (/ 2.0 (+ 1.0 t)) t)) (+ 3 1))

series451.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ 2.0 (+ 1.0 t)) t)
40.0ms	(* (/ 2.0 (+ 1.0 t)) t)
184.0ms	(pow (sqrt (* (/ 2.0 (+ 1.0 t)) t)) (+ 3 1))
189.0ms	(pow (sqrt (* (/ 2.0 (+ 1.0 t)) t)) (+ 3 1))

simplify2.5s

Counts

142 → 142

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	162	1844
1	434	1602
2	1201	1378
3	4425	1334
done	5000	1334

prune484.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`fma-neg` `associate-l` `prod-diff` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `fma-udef`

Counts

2 → 54

Calls

2 calls:

12.0ms	(* 2.0 (pow t 3))
6.0ms	(- (fma 1.0 (* t t) 0.5) (* 2.0 (pow t 3)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* 2.0 (pow t 3))
36.0ms	(- (fma 1.0 (* t t) 0.5) (* 2.0 (pow t 3)))

simplify2.3s

Counts

60 → 60

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	95	709
1	208	655
2	648	595
3	3958	560
done	5000	558

prune111.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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	10	35
1	14	35
done	14	35

end0.0ms

sample341.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid