Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	17	9
3	19	9
4	21	9
5	22	9
done	22	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

40.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
22.0ms	(* (/ 841.0 108.0) x)

series70.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
30.0ms	(* (/ 841.0 108.0) x)

simplify3.3s

Counts

50 → 50

Iterations

Useful iterations: 3 (814.0ms)

Iter	Nodes	Cost
0	97	463
1	241	443
2	693	403
3	2086	401
done	5000	401

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
0.1b	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
0.2b	(* (* 841.0 x) 29.0)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-l` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv`

Counts

3 → 52

Calls

3 calls:

30.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
68.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
23.0ms	(* (* 841.0 x) 29.0)

series133.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
71.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
18.0ms	(* (* 841.0 x) 29.0)

simplify3.7s

Counts

61 → 61

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	105	818
1	288	791
2	1100	675
3	4664	671
done	5000	671

prune164.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

90.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
16.0ms	(* (cbrt (/ 841.0 108.0)) x)
71.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
43.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series391.0ms

Counts

4 → 10

Calls

4 calls:

152.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
90.0ms	(* (cbrt (/ 841.0 108.0)) x)
149.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify1.9s

Counts

169 → 169

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	235	2594
1	482	2445
2	1535	2013
done	5000	1855

prune509.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample527.0ms

Algorithm

intervals

Results

352.0ms	7998×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid