Details

sample173.0ms

Algorithm

intervals

Results

86.0ms	1861×	body	80	nan
14.0ms	257×	body	80	valid

simplify4.4s

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	1882	16
8	2069	16
9	2072	16
done	2072	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)
0.1b	(* (- 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))

rewrite160.0ms

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:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
11.0ms	(* (- a 0.5) (log t))
108.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(+ (log (+ x y)) (log z))

series507.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- (+ (log (+ x y)) (log z)) t)
61.0ms	(* (- a 0.5) (log t))
206.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
76.0ms	(+ (log (+ x y)) (log z))

simplify671.0ms

Counts

114 → 114

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	239	1824
1	609	1724
2	2047	1617
done	5001	1609

prune395.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.2b	(+ (- (log z) t) (* (- a 0.5) (log t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
11.0ms	(* (- a 0.5) (log t))
46.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
20.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (log z) t)
63.0ms	(* (- a 0.5) (log t))
200.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
91.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify853.0ms

Counts

110 → 110

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	239	1697
1	635	1595
2	2091	1497
done	5000	1483

prune395.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

23.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series562.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
131.0ms	(cbrt (+ x y))
135.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))

simplify942.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (304.0ms)

Iter	Nodes	Cost
0	116	1266
1	248	1147
2	638	1089
3	1740	1020
done	5000	1020

prune576.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
16×	`pow1`
15×	`associate-+r+`
12×	`associate-r`
11×	`add-log-exp`
10×	`associate-l` `log-pow`
8×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
7×	`associate-+l+`
6×	`flip3--` `flip--`
5×	`sum-log` `distribute-lft-out`
4×	`frac-add`
3×	`associate-+l-` `flip3-+` `flip-+`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 131

Calls

4 calls:

134.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
13.0ms	(* (- a 0.5) (log (sqrt t)))
16.0ms	(* (- a 0.5) (log (sqrt t)))
6.0ms	(+ (log (+ x y)) (log z))

series474.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
57.0ms	(* (- a 0.5) (log (sqrt t)))
63.0ms	(* (- a 0.5) (log (sqrt t)))
82.0ms	(+ (log (+ x y)) (log z))

simplify682.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	242	2274
1	600	2135
2	2000	1961
done	5001	1961

prune498.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes601.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	19	16
done	19	16

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.6s	56945×	body	80	nan
444.0ms	8028×	body	80	valid