Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

257×

body

valid

simplify38.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)

rewrite76.0ms

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:

31.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
42.0ms	(* (/ 841.0 108.0) x)

series97.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
31.0ms	(* (/ 841.0 108.0) x)

simplify3.0s

Counts

50 → 50

Iterations

Useful iterations: 3 (694.0ms)

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

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
0.3b	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 142

Calls

3 calls:

103.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
58.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
112.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series682.0ms

Counts

3 → 9

Calls

3 calls:

283.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
156.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
242.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify2.2s

Counts

151 → 151

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	168	2216
1	471	2053
2	1822	1681
done	5000	1637

prune368.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

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)))

rewrite221.0ms

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:

67.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
18.0ms	(* (cbrt (/ 841.0 108.0)) x)
82.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
46.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series294.0ms

Counts

4 → 10

Calls

4 calls:

128.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
57.0ms	(* (cbrt (/ 841.0 108.0)) x)
109.0ms	(* (* (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

prune426.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* (* (* (cbrt (/ (sqrt 841.0) (sqrt 108.0))) (cbrt (/ 841.0 108.0))) (cbrt (/ (sqrt 841.0) (sqrt 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

0.1b

(* (cbrt (/ 841.0 108.0)) x)

0.4b

(* (* (* (cbrt (/ (sqrt 841.0) (sqrt 108.0))) (cbrt (/ 841.0 108.0))) (cbrt (/ (sqrt 841.0) (sqrt 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

rewrite619.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-div`
51×	`associate-*l/`
34×	`frac-times`
26×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
17×	`associate-l`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `frac-add`
14×	`associate-*r/` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
5×	`add-log-exp`
4×	`associate-r`
3×	`unswap-sqr`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

3 → 103

Calls

3 calls:

292.0ms

(+ (* (* (* (cbrt (/ (sqrt 841.0) (sqrt 108.0))) (cbrt (/ 841.0 108.0))) (cbrt (/ (sqrt 841.0) (sqrt 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

17.0ms

(* (cbrt (/ 841.0 108.0)) x)

300.0ms

(* (* (* (cbrt (/ (sqrt 841.0) (sqrt 108.0))) (cbrt (/ 841.0 108.0))) (cbrt (/ (sqrt 841.0) (sqrt 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

series1.9s

Counts

3 → 9

Calls

3 calls:

1.1s

(+ (* (* (* (cbrt (/ (sqrt 841.0) (sqrt 108.0))) (cbrt (/ 841.0 108.0))) (cbrt (/ (sqrt 841.0) (sqrt 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

73.0ms

(* (cbrt (/ 841.0 108.0)) x)

802.0ms

(* (* (* (cbrt (/ (sqrt 841.0) (sqrt 108.0))) (cbrt (/ 841.0 108.0))) (cbrt (/ (sqrt 841.0) (sqrt 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	230	2830
1	581	2751
2	1995	2467
done	5000	2158

prune459.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes69.0ms

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

sample463.0ms

Algorithm

intervals

Results

343.0ms	8006×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid