Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	294×	body	80	valid
15.0ms	291×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	83	16
3	224	16
4	618	16
5	1600	16
6	3209	16
done	5001	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(* (- a 0.5) b)
79.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series102.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- a 0.5) b)
36.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify517.0ms

Counts

77 → 77

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	154	745
1	329	704
2	1232	632
done	5001	629

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log (sqrt t))))
0.1b	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

79.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
332.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
53.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* (log (sqrt t)) z))
116.0ms	(* (log (sqrt t)) z)
87.0ms	(* z (log (sqrt t)))

simplify620.0ms

Counts

112 → 112

Iterations

Useful iterations: done (617.0ms)

Iter	Nodes	Cost
0	182	1519
1	398	1389
2	1508	1198
done	5000	1176

prune339.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) z)
0.3b	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 63

Calls

4 calls:

7.0ms	(* (* 2 (log (cbrt t))) z)
9.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series589.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (* 2 (log (cbrt t))) z)
121.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
173.0ms	(cbrt t)
172.0ms	(cbrt t)

simplify627.0ms

Counts

75 → 75

Iterations

Useful iterations: done (625.0ms)

Iter	Nodes	Cost
0	123	811
1	296	731
2	945	543
done	5001	524

prune312.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2/3 (log t)) z)
0.3b	(+ (* (* 2/3 (log t)) z) (* z (log (cbrt t))))
0.4b	(* 2/3 (log t))
0.6b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `associate-+r+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
7×	`associate-r`
6×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

7.0ms	(* (* 2/3 (log t)) z)
8.0ms	(+ (* (* 2/3 (log t)) z) (* z (log (cbrt t))))
4.0ms	(* 2/3 (log t))
1.0ms	(cbrt t)

series587.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* 2/3 (log t)) z)
210.0ms	(+ (* (* 2/3 (log t)) z) (* z (log (cbrt t))))
136.0ms	(* 2/3 (log t))
177.0ms	(cbrt t)

simplify738.0ms

Counts

89 → 89

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	165	907
1	361	818
2	1168	628
done	5000	617

prune331.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes356.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	20	16
done	20	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

426.0ms	9149×	body	80	valid
349.0ms	8989×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid