Details

sample313.0ms

Algorithm

intervals

Results

163.0ms	1788×	body	80	nan
22.0ms	258×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

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))

rewrite306.0ms

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:

23.0ms	(* (- a 0.5) (log t))
263.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
18.0ms	(+ (log (+ x y)) (log z))

series514.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* (- a 0.5) (log t))
336.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
84.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	2535
1	607
0	226

prune732.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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)

rewrite47.0ms

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:

25.0ms	(+ (+ (log (+ y x)) (* 2 (log (cbrt z)))) (log (cbrt z)))
18.0ms	(+ (log (+ y x)) (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

218.0ms	(+ (+ (log (+ y x)) (* 2 (log (cbrt z)))) (log (cbrt z)))
206.0ms	(+ (log (+ y x)) (* 2 (log (cbrt z))))
252.0ms	(cbrt z)
346.0ms	(cbrt z)

simplify695.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1379
1	369
0	148

prune781.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

24.0ms	(* (log (cbrt t)) (- a 0.5))
36.0ms	(+ (log z) (- (log (+ y x)) t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (log (cbrt t)) (- a 0.5))
288.0ms	(+ (log z) (- (log (+ y x)) t))
243.0ms	(cbrt t)
321.0ms	(cbrt t)

simplify778.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	1386
1	348
0	152

prune686.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

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))

rewrite14.0ms

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:

10.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))

series1.4s

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (log (+ x y)) (log z))
434.0ms	(cbrt (log t))
437.0ms	(cbrt (log t))
396.0ms	(cbrt (log t))

simplify2.1s

Counts

72 → 72

Iterations

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

prune494.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample13.6s

Algorithm

intervals

Results

7.9s	55365×	body	80	nan
1.4s	8034×	body	80	valid