Details

sample389.0ms

Algorithm

intervals

Results

266.0ms	1713×	body	80	nan
37.0ms	259×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

50.0ms	(- (+ (log (+ x y)) (log z)) t)
150.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
20.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series537.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- (+ (log (+ x y)) (log z)) t)
209.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
74.0ms	(* (- a 0.5) (log t))
79.0ms	(+ (log (+ x y)) (log z))

simplify978.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2000
2	2000
1	641
0	244

prune708.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* (- a 0.5) (log t)))
0.1b	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

7.0ms	(- t (* (- a 0.5) (log t)))
49.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
16.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series484.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- t (* (- a 0.5) (log t)))
285.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
68.0ms	(* (- a 0.5) (log t))
81.0ms	(+ (log (+ x y)) (log z))

simplify956.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2000
2	2000
1	619
0	239

prune693.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

24.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series915.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (log (+ x y)) (log z))
235.0ms	(cbrt t)
269.0ms	(cbrt t)
322.0ms	(cbrt t)

simplify1.2s

Counts

73 → 73

Iterations

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

prune557.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

8.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (log (+ x y)) (log z))
265.0ms	(cbrt t)
277.0ms	(cbrt t)
630.0ms	(pow t 1/3)

simplify1.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	2013
4	2013
3	1658
2	688
1	270
0	122

prune784.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample14.4s

Algorithm

intervals

Results

9.9s	56505×	body	80	nan
1.4s	8032×	body	80	valid