Details

sample351.0ms

Algorithm

intervals

Results

181.0ms	1846×	body	80	nan
23.0ms	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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

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-+`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

52.0ms	(- (+ (log (+ x y)) (log z)) t)
28.0ms	(* (- a 0.5) (log t))
235.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
15.0ms	(+ (log (+ x y)) (log z))

series558.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(- (+ (log (+ x y)) (log z)) t)
63.0ms	(* (- a 0.5) (log t))
209.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
83.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2648
1	638
0	240

prune863.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

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)

rewrite53.0ms

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`
3×	`sum-log` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r+`

Counts

4 → 62

Calls

4 calls:

48.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series876.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
221.0ms	(cbrt z)
223.0ms	(cbrt z)
264.0ms	(cbrt z)

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4013
2	718
1	216
0	85

prune642.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ y x)) (- (log z) t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

21.0ms	(+ (log (+ y x)) (- (log z) t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series805.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(+ (log (+ y x)) (- (log z) t))
193.0ms	(cbrt t)
210.0ms	(cbrt t)
219.0ms	(cbrt t)

simplify2.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	4400
2	675
1	226
0	101

prune626.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ y x)) (- (log z) t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

34.0ms	(+ (log (+ y x)) (- (log z) t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series818.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (log (+ y x)) (- (log z) t))
192.0ms	(cbrt t)
237.0ms	(cbrt t)
209.0ms	(pow t 1/3)

simplify864.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	977
1	314
0	128

prune758.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

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	23
1	23
0	18

end0.0ms

sample13.9s

Algorithm

intervals

Results

8.0s	55612×	body	80	nan
1.0s	8043×	body	80	valid