Details

sample343.0ms

Algorithm

intervals

Results

167.0ms	1702×	body	80	nan
38.0ms	257×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	149	16
4	442	16
5	1543	16
done	5000	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

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

rewrite542.0ms

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:

118.0ms	(- (+ (log (+ x y)) (log z)) t)
351.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
53.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series804.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(- (+ (log (+ x y)) (log z)) t)
354.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
86.0ms	(* (- a 0.5) (log t))
129.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	239	1824
1	632	1724
2	2656	1621
done	5001	1615

prune673.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.3b	(+ (log (+ x y)) (- (log z) t))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

16.0ms	(- (log z) t)
242.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
40.0ms	(* (- a 0.5) (log t))
43.0ms	(+ (log (+ x y)) (- (log z) t))

series791.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- (log z) t)
303.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
107.0ms	(* (- a 0.5) (log t))
256.0ms	(+ (log (+ x y)) (- (log z) t))

simplify1.6s

Counts

116 → 116

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	243	1777
1	649	1673
2	2732	1576
done	5001	1567

prune657.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ x y)) (- (log z) t))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

30.0ms	(+ (log (+ x y)) (- (log z) t))
47.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.7s

Counts

4 → 12

Calls

4 calls:

268.0ms	(+ (log (+ x y)) (- (log z) t))
462.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
261.0ms	(cbrt t)
680.0ms	(cbrt t)

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	184	1258
1	528	1149
2	2120	964
done	5002	936

prune630.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ x y)) (- (log z) t))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (pow t 1/3)) (- a 0.5)))
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
10×	`pow1`
9×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+r+`
8×	`associate-+l+` `associate-*r/` `add-log-exp`
7×	`log-prod` `distribute-lft-out`
5×	`add-exp-log` `sub-neg` `log-pow`
4×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `frac-add` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `flip3-+` `associate--l+` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div`
1×	`pow-to-exp` `associate-+r-` `distribute-rgt-out` `pow-pow` `unpow1/3` `pow1/3` `diff-log` `pow-exp` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

38.0ms	(+ (log (+ x y)) (- (log z) t))
48.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (pow t 1/3)) (- a 0.5)))
2.0ms	(cbrt t)
5.0ms	(pow t 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

229.0ms	(+ (log (+ x y)) (- (log z) t))
655.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (pow t 1/3)) (- a 0.5)))
282.0ms	(cbrt t)
282.0ms	(pow t 1/3)

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	221	1370
1	640	1204
2	2432	1067
done	5001	1041

prune556.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes776.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	34
1	32	34
done	32	34

end0.0ms

sample11.7s

Algorithm

intervals

Results

6.9s	55801×	body	80	nan
829.0ms	8027×	body	80	valid