Details

sample377.0ms

Algorithm

intervals

Results

199.0ms	1788×	body	80	nan
26.0ms	258×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1502
4	434
3	150
2	59
1	27
0	15

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 3 expressions with local error:

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

rewrite259.0ms

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-+`
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 → 80

Calls

3 calls:

28.0ms	(* (- a 0.5) (log t))
208.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
17.0ms	(+ (log (+ x y)) (log z))

series437.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (- a 0.5) (log t))
265.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
112.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	2535
1	607
0	226

prune645.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (log (+ y x)) (* 2 (log (cbrt z)))) (log (cbrt z)))
0.5b	(+ (log (+ y x)) (* 2 (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`associate-+r+` `*-un-lft-identity`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-+l-`
5×	`pow1` `associate-+l+`
4×	`log-div` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
3×	`distribute-lft-out`
2×	`+-commutative` `pow1/3`
1×	`log-pow`

Counts

4 → 74

Calls

4 calls:

38.0ms	(+ (+ (log (+ y x)) (* 2 (log (cbrt z)))) (log (cbrt z)))
22.0ms	(+ (log (+ y x)) (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series874.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ (+ (log (+ y x)) (* 2 (log (cbrt z)))) (log (cbrt z)))
196.0ms	(+ (log (+ y x)) (* 2 (log (cbrt z))))
244.0ms	(cbrt z)
242.0ms	(cbrt z)

simplify594.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1379
1	369
0	148

prune887.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a 0.5) (* 2 (log (cbrt t))))
0.2b	(+ (log z) (- (log (+ y x)) t))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
31×	`log-prod`
24×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt`
14×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
6×	`associate-+r+` `add-log-exp`
5×	`associate-l` `log-pow` `distribute-lft-out--`
4×	`associate--l+`
3×	`associate-+l+` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log` `pow1/3` `associate-*l/`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-r` `*-commutative` `flip-+` `flip--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

45.0ms	(* (- a 0.5) (* 2 (log (cbrt t))))
39.0ms	(+ (log z) (- (log (+ y x)) t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series969.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (- a 0.5) (* 2 (log (cbrt t))))
241.0ms	(+ (log z) (- (log (+ y x)) t))
265.0ms	(cbrt t)
270.0ms	(cbrt t)

simplify761.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1618
1	481
0	206

prune747.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

20.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt (log t))
3.0ms	(cbrt (log t))
2.0ms	(cbrt (log t))

series1.4s

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (log (+ x y)) (log z))
440.0ms	(cbrt (log t))
437.0ms	(cbrt (log t))
406.0ms	(cbrt (log t))

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	3166
2	606
1	194
0	94

prune566.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample13.6s

Algorithm

intervals

Results

8.0s	55365×	body	80	nan
1.2s	8034×	body	80	valid