Details

sample230.0ms

Algorithm

intervals

Results

115.0ms	889×	body	80	nan
29.0ms	294×	body	80	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3696
4	1232
3	330
2	97
1	38
0	20

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

2.5s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
724.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
29.0ms	(* (- b 0.5) (log c))
11.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

583.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
344.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
77.0ms	(* (- b 0.5) (log c))
62.0ms	(* x (log y))

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5010
2	2448
1	656
0	248

prune970.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `pow1/3`
2×	`distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `flip3-+` `count-2` `flip-+`

Counts

4 → 48

Calls

4 calls:

32.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series974.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
266.0ms	(cbrt y)
237.0ms	(cbrt y)
245.0ms	(cbrt y)

simplify3.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	3157
2	725
1	167
0	64

prune786.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (pow y 1/3)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow` `sum-log` `unpow-prod-down`
2×	`pow1/3`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

34.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (pow y 1/3)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

273.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (pow y 1/3)) x))
233.0ms	(cbrt y)
278.0ms	(cbrt y)
250.0ms	(pow y 1/3)

simplify2.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	3506
2	874
1	271
0	96

prune851.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* (log (cbrt y)) (* 3 x)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.4b	(* (log (cbrt y)) (* 3 x))
0.6b	(cbrt y)

rewrite5.7s

Algorithm

rewrite-expression-head

Rules

24×	`add-log-exp`
15×	`sum-log`
14×	`add-sqr-sqrt`
13×	`pow1`
12×	`*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
6×	`log-prod`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `log-pow`
2×	`pow1/3` `associate-l/` `-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

5.6s	(+ (+ (+ (+ (+ (* (log (cbrt y)) (* 3 x)) z) t) a) (* (- b 0.5) (log c))) (* y i))
37.0ms	(* (- b 0.5) (log c))
28.0ms	(* (log (cbrt y)) (* 3 x))
2.0ms	(cbrt y)

series1.7s

Counts

4 → 12

Calls

4 calls:

1.1s	(+ (+ (+ (+ (+ (* (log (cbrt y)) (* 3 x)) z) t) a) (* (- b 0.5) (log c))) (* y i))
104.0ms	(* (- b 0.5) (log c))
177.0ms	(* (log (cbrt y)) (* 3 x))
311.0ms	(cbrt y)

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5009
2	1548
1	487
0	206

prune649.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample8.5s

Algorithm

intervals

Results

4.8s	27281×	body	80	nan
1.3s	9209×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid