Details

sample383.0ms

Algorithm

intervals

Results

216.0ms	1931×	body	80	nan
58.0ms	257×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2012
7	2012
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `log-pow` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`flip3-+` `associate-+l-` `flip-+` `insert-posit16`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

158.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series422.0ms

Counts

3 → 9

Calls

3 calls:

256.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
61.0ms	(* (- a 0.5) (log t))
105.0ms	(+ (log (+ x y)) (log z))

simplify909.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2001
2	2001
1	609
0	229

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`distribute-lft-out`
17×	`pow1`
13×	`log-pow`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-+l+` `log-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sum-log` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r+`

Counts

4 → 66

Calls

4 calls:

29.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series928.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
229.0ms	(cbrt z)
283.0ms	(cbrt z)
249.0ms	(cbrt z)

simplify876.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
3	2000
2	602
1	218
0	87

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 61

Calls

4 calls:

14.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series790.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (log (+ x y)) (log z))
224.0ms	(cbrt t)
252.0ms	(cbrt t)
231.0ms	(cbrt t)

simplify1.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	2000
4	2000
3	1283
2	498
1	192
0	94

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- a 0.5))
0.4b	(* (cbrt (- a 0.5)) (log t))
0.5b	(+ (log (+ x y)) (log z))
0.8b	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`cbrt-prod`
20×	`add-cube-cbrt`
18×	`pow1`
16×	`cbrt-div` `associate-l`
13×	`log-prod`
12×	`associate-r`
10×	`swap-sqr`
8×	`flip3--` `add-exp-log` `flip--` `distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
5×	`add-cbrt-cube` `log-pow` `distribute-lft-out`
4×	`frac-times` `associate-+l+` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`
2×	`log-div` `flip3-+` `prod-exp` `associate-r/` `pow-sqr` `-commutative` `pow-prod-up` `associate-+l-` `cbrt-unprod` `flip-+`
1×	`pow2` `+-commutative` `sum-log` `pow-plus`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (- a 0.5))
15.0ms	(* (cbrt (- a 0.5)) (log t))
8.0ms	(+ (log (+ x y)) (log z))
23.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (- a 0.5))
243.0ms	(* (cbrt (- a 0.5)) (log t))
117.0ms	(+ (log (+ x y)) (log z))
201.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

simplify1.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	2000
2	2000
1	751
0	326

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample14.2s

Algorithm

intervals

Results

9.5s	56487×	body	80	nan
1.2s	8032×	body	80	valid