Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

34.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
22.0ms	(* (/ 841.0 108.0) x)

series94.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
29.0ms	(* (/ 841.0 108.0) x)

simplify703.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1056
1	246
0	97

prune215.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1 (/ 841.0 (/ 108.0 x))) (/ 4.0 29.0))
0.5b	(/ 841.0 (/ 108.0 x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
45×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `associate-*r/` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

2 → 83

Calls

2 calls:

18.0ms	(+ (* 1 (/ 841.0 (/ 108.0 x))) (/ 4.0 29.0))
14.0ms	(/ 841.0 (/ 108.0 x))

series64.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* 1 (/ 841.0 (/ 108.0 x))) (/ 4.0 29.0))
17.0ms	(/ 841.0 (/ 108.0 x))

simplify1.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2197
1	486
0	184

prune441.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1 (/ (/ 841.0 (sqrt 108.0)) (/ (sqrt 108.0) x))) (/ 4.0 29.0))
0.1b	(/ (sqrt 108.0) x)
0.4b	(/ (/ 841.0 (sqrt 108.0)) (/ (sqrt 108.0) x))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

1330×	`times-frac`
617×	`*-un-lft-identity`
616×	`add-sqr-sqrt` `add-cube-cbrt`
426×	`sqrt-prod`
48×	`div-inv`
28×	`associate-/l*`
25×	`associate-/r*`
17×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `frac-add` `associate-*r/` `associate-/r/` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

3 → 600

Calls

3 calls:

54.0ms	(+ (* 1 (/ (/ 841.0 (sqrt 108.0)) (/ (sqrt 108.0) x))) (/ 4.0 29.0))
10.0ms	(/ (sqrt 108.0) x)
48.0ms	(/ (/ 841.0 (sqrt 108.0)) (/ (sqrt 108.0) x))

series442.0ms

Counts

3 → 9

Calls

3 calls:

236.0ms	(+ (* 1 (/ (/ 841.0 (sqrt 108.0)) (/ (sqrt 108.0) x))) (/ 4.0 29.0))
76.0ms	(/ (sqrt 108.0) x)
130.0ms	(/ (/ 841.0 (sqrt 108.0)) (/ (sqrt 108.0) x))

simplify1.3s

Counts

609 → 609

Iterations

Iter	Nodes
done	5001
1	2968
0	774

prune2.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt 108.0) x)
0.1b	(/ (sqrt 108.0) x)
0.2b	(* (/ (sqrt 108.0) x) 29.0)
0.5b	(/ (+ (* (/ 841.0 (sqrt 108.0)) 29.0) (* (/ (sqrt 108.0) x) 4.0)) (* (/ (sqrt 108.0) x) 29.0))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

11.0ms	(/ (sqrt 108.0) x)
10.0ms	(/ (sqrt 108.0) x)
37.0ms	(* (/ (sqrt 108.0) x) 29.0)
50.0ms	(/ (+ (* (/ 841.0 (sqrt 108.0)) 29.0) (* (/ (sqrt 108.0) x) 4.0)) (* (/ (sqrt 108.0) x) 29.0))

series723.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (sqrt 108.0) x)
74.0ms	(/ (sqrt 108.0) x)
82.0ms	(* (/ (sqrt 108.0) x) 29.0)
493.0ms	(/ (+ (* (/ 841.0 (sqrt 108.0)) 29.0) (* (/ (sqrt 108.0) x) 4.0)) (* (/ (sqrt 108.0) x) 29.0))

simplify1.3s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
2	2152
1	416
0	161

prune615.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
2	18
1	17
0	13

end0.0ms

sample578.0ms

Algorithm

intervals

Results

403.0ms	8005×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid