Details

sample175.0ms

Algorithm

intervals

Results

89.0ms	1861×	body	80	nan
14.0ms	257×	body	80	valid

simplify4.5s

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

localize16.0ms

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))

rewrite150.0ms

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:

27.0ms	(- (+ (log (+ x y)) (log z)) t)
10.0ms	(* (- a 0.5) (log t))
102.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(+ (log (+ x y)) (log z))

series484.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- (+ (log (+ x y)) (log z)) t)
57.0ms	(* (- a 0.5) (log t))
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
71.0ms	(+ (log (+ x y)) (log z))

simplify746.0ms

Counts

114 → 114

Iterations

Useful iterations: done (743.0ms)

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

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite78.0ms

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:

5.0ms	(- (log z) t)
11.0ms	(* (- a 0.5) (log t))
40.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
19.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (log z) t)
55.0ms	(* (- a 0.5) (log t))
199.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
91.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify747.0ms

Counts

110 → 110

Iterations

Useful iterations: done (744.0ms)

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

prune388.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite29.0ms

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:

19.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series728.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
122.0ms	(cbrt (+ x y))
122.0ms	(cbrt (+ x y))
132.0ms	(cbrt (+ x y))

simplify1.0s

Counts

107 → 107

Iterations

Useful iterations: 3 (335.0ms)

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

prune480.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

103.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
13.0ms	(* (- a 0.5) (log (sqrt t)))
11.0ms	(* (log (sqrt t)) (- a 0.5))
6.0ms	(+ (log (+ x y)) (log z))

series489.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
64.0ms	(* (- a 0.5) (log (sqrt t)))
66.0ms	(* (log (sqrt t)) (- a 0.5))
75.0ms	(+ (log (+ x y)) (log z))

simplify826.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	271	2122
1	654	1988
2	2195	1843
done	5001	1843

prune472.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes583.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

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

2.7s	56945×	body	80	nan
455.0ms	8028×	body	80	valid