Details

sample148.0ms

Algorithm

intervals

Results

73.0ms	1620×	body	80	nan
14.0ms	256×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	58	16
3	122	16
4	297	16
5	661	16
6	1150	16
7	1881	16
8	2064	16
9	2067	16
done	2067	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite157.0ms

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×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
107.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series486.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(- (+ (log (+ x y)) (log z)) t)
193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify610.0ms

Counts

114 → 114

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	239	1824
1	609	1724
2	2048	1617
done	5000	1609

prune380.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite667.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

610.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
33.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
8.0ms	(+ (log (+ x y)) (log (sqrt z)))

series671.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
61.0ms	(* (- a 0.5) (log t))
172.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
148.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify734.0ms

Counts

127 → 127

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	280	2418
1	751	2160
2	2535	1959
done	5000	1957

prune467.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
16×	`associate-+r+` `log-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `sum-log`
7×	`associate-+l+`
6×	`cbrt-prod` `sqrt-prod`
4×	`pow1` `add-exp-log` `flip3--` `associate-*r/` `frac-add` `add-cbrt-cube` `flip--`
3×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`
2×	`+-commutative` `log-div` `pow1/3`
1×	`associate--l+` `distribute-lft-out`

Counts

4 → 77

Calls

4 calls:

362.0ms	(+ (- (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (+ (log (+ x y)) (* 2 (log (sqrt z))))) t) (* (log (cbrt t)) (- a 0.5)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))

series727.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(+ (- (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (+ (log (+ x y)) (* 2 (log (sqrt z))))) t) (* (log (cbrt t)) (- a 0.5)))
179.0ms	(cbrt t)
188.0ms	(cbrt t)
167.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))

simplify643.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	245	2148
1	669	2065
2	2355	1885
done	5001	1885

prune448.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.6b	(+ (log (+ x y)) (* 2 (log (sqrt z))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (cbrt t))
1.0ms	(cbrt (cbrt t))
1.0ms	(cbrt (cbrt t))
7.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))

series914.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (cbrt t))
245.0ms	(cbrt (cbrt t))
247.0ms	(cbrt (cbrt t))
173.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: 3 (286.0ms)

Iter	Nodes	Cost
0	142	803
1	297	756
2	684	688
3	2052	672
done	5000	672

prune446.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes475.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	22	21
done	22	21

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	54937×	body	80	nan
440.0ms	8032×	body	80	valid