Details

sample333.0ms

Algorithm

intervals

Results

173.0ms	1715×	body	80	nan
23.0ms	257×	body	80	valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.7b	(+ (log (+ x y)) (log z))

rewrite512.0ms

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:

63.0ms	(- (+ (log (+ x y)) (log z)) t)
357.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
48.0ms	(* (- a 0.5) (log t))
40.0ms	(+ (log (+ x y)) (log z))

series672.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(- (+ (log (+ x y)) (log z)) t)
266.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
95.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

114 → 114

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	239	1824
1	617	1724
2	2130	1617
done	5002	1584

prune676.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite314.0ms

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:

19.0ms	(- (log z) t)
78.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
26.0ms	(* (- a 0.5) (log t))
184.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series594.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (log z) t)
146.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
66.0ms	(* (- a 0.5) (log t))
287.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	239	1697
1	643	1595
2	2178	1497
done	5000	1479

prune588.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

20×	`frac-add`
19×	`log-prod`
18×	`*-un-lft-identity`
16×	`add-log-exp`
15×	`associate-+r+`
14×	`flip3--` `flip--`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `associate-*l/`
9×	`sum-log`
8×	`pow1` `associate-*r/`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `associate-+l-` `log-pow` `add-cbrt-cube`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`

Counts

4 → 86

Calls

4 calls:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
2.0ms	(cbrt t)
24.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

524.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
323.0ms	(cbrt t)
259.0ms	(cbrt t)
93.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

98 → 98

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	287	3156
1	955	2986
2	4228	2719
done	5000	2700

prune656.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.7b	(+ (log (+ x y)) (log z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
18×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (cbrt t))
3.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))
13.0ms	(+ (log (+ x y)) (log z))

series1.3s

Counts

4 → 12

Calls

4 calls:

412.0ms	(cbrt (cbrt t))
382.0ms	(cbrt (cbrt t))
340.0ms	(cbrt (cbrt t))
117.0ms	(+ (log (+ x y)) (log z))

simplify3.1s

Counts

78 → 78

Iterations

Useful iterations: 3 (252.0ms)

Iter	Nodes	Cost
0	102	600
1	202	577
2	385	536
3	832	525
4	2273	525
done	5000	525

prune656.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes601.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample13.2s

Algorithm

intervals

Results

7.6s	56347×	body	80	nan
1.4s	8033×	body	80	valid