Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify36.0ms

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

localize6.0ms

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:

28.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
34.0ms	(* (/ 841.0 108.0) x)

series86.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
26.0ms	(* (/ 841.0 108.0) x)

simplify884.0ms

Counts

50 → 50

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	97	463
1	246	443
2	1066	403
done	5001	401

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite274.0ms

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:

103.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
29.0ms	(* (cbrt (/ 841.0 108.0)) x)
84.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
50.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series319.0ms

Counts

4 → 10

Calls

4 calls:

134.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
67.0ms	(* (cbrt (/ 841.0 108.0)) x)
118.0ms	(* (* (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)))

simplify2.4s

Counts

169 → 169

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	235	2594
1	520	2445
2	2506	2017
done	5001	1857

prune456.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (/ (* (cbrt 841.0) x) (cbrt 108.0)))
0.4b	(/ (* (cbrt 841.0) x) (cbrt 108.0))
1.0b	(cbrt 108.0)
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
69×	`add-sqr-sqrt`
54×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
26×	`associate-r`
17×	`associate-l`
16×	`pow1` `swap-sqr`
15×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
12×	`cbrt-div`
10×	`unswap-sqr`
7×	`pow1/3`
6×	`cbrt-undiv` `frac-times` `div-exp` `associate-l/` `associate-/r` `div-inv`
5×	`pow-prod-down`
4×	`associate-*r/` `add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/l*`

Counts

4 → 157

Calls

4 calls:

61.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (/ (* (cbrt 841.0) x) (cbrt 108.0)))
12.0ms	(/ (* (cbrt 841.0) x) (cbrt 108.0))
1.0ms	(cbrt 108.0)
27.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series368.0ms

Counts

4 → 8

Calls

4 calls:

257.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (/ (* (cbrt 841.0) x) (cbrt 108.0)))
110.0ms	(/ (* (cbrt 841.0) x) (cbrt 108.0))
0.0ms	(cbrt 108.0)
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify5.1s

Counts

165 → 165

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	220	2366
1	517	2225
2	4323	2023
done	5001	2019

prune558.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample550.0ms

Algorithm

intervals

Results

360.0ms	8009×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid