Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify24.0ms

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)

rewrite41.0ms

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:

23.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms	(* (/ 841.0 108.0) x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms	(* (/ 841.0 108.0) x)

simplify3.0s

Counts

50 → 50

Iterations

Useful iterations: 3 (789.0ms)

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

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite256.0ms

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:

107.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
17.0ms	(* (cbrt (/ 841.0 108.0)) x)
83.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
40.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series348.0ms

Counts

4 → 10

Calls

4 calls:

132.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
76.0ms	(* (cbrt (/ 841.0 108.0)) x)
140.0ms	(* (* (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	482	2445
2	1535	2013
done	5000	1855

prune635.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 108.0)
1.0b	(cbrt 108.0)
1.0b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 1 (* (cbrt 108.0) (cbrt 108.0))))) (cbrt (/ 841.0 (cbrt 108.0))))
1.0b	(cbrt (/ 1 (* (cbrt 108.0) (cbrt 108.0))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
25×	`associate-r`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
13×	`cbrt-div`
9×	`pow1` `add-exp-log`
6×	`pow1/3`
5×	`frac-times` `pow-prod-down` `associate-*l/` `add-cbrt-cube`
4×	`add-log-exp`
3×	`associate-*r/` `prod-exp` `cbrt-unprod`
2×	`div-inv`
1×	`associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt 108.0)
2.0ms	(cbrt 108.0)
82.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 1 (* (cbrt 108.0) (cbrt 108.0))))) (cbrt (/ 841.0 (cbrt 108.0))))
20.0ms	(cbrt (/ 1 (* (cbrt 108.0) (cbrt 108.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt 108.0)
0.0ms	(cbrt 108.0)
0.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 1 (* (cbrt 108.0) (cbrt 108.0))))) (cbrt (/ 841.0 (cbrt 108.0))))
0.0ms	(cbrt (/ 1 (* (cbrt 108.0) (cbrt 108.0))))

simplify7.0s

Counts

90 → 90

Iterations

Useful iterations: done (7.0s)

Iter	Nodes	Cost
0	146	1383
1	309	1338
2	836	1238
3	2188	1213
4	4475	1188
done	5000	1052

prune340.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* 841.0 x) 29.0)
0.6b	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

27.0ms	(* (* 841.0 x) 29.0)
67.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series89.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (* 841.0 x) 29.0)
73.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	95	622
1	255	610
2	1003	502
3	4330	500
done	5001	500

prune84.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample480.0ms

Algorithm

intervals

Results

317.0ms	8011×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid