Details

sample408.0ms

Algorithm

intervals

Results

208.0ms	1923×	body	80	nan
50.0ms	256×	body	80	valid

simplify8.0s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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))
0.6b	(+ (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:

82.0ms	(- (+ (log (+ x y)) (log z)) t)
378.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
31.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (log (+ x y)) (log z))

series851.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(- (+ (log (+ x y)) (log z)) t)
320.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
97.0ms	(* (- a 0.5) (log t))
130.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

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

prune587.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

41.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
14.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series841.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
183.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
223.0ms	(cbrt z)
250.0ms	(cbrt z)

simplify3.3s

Counts

86 → 86

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	148	1068
1	348	943
2	916	814
3	3595	732
done	5000	719

prune583.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

39.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
19.0ms	(+ (log (+ x y)) (log z))

series826.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
258.0ms	(cbrt t)
241.0ms	(cbrt t)
81.0ms	(+ (log (+ x y)) (log z))

simplify1.5s

Counts

84 → 84

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	162	807
1	382	772
2	1187	639
done	5000	630

prune438.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) (- a 0.5))
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.0b	(pow t 1/3)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

49.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
1.0ms	(cbrt t)
13.0ms	(+ (log (+ x y)) (log z))
3.0ms	(pow t 1/3)

series670.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
201.0ms	(cbrt t)
81.0ms	(+ (log (+ x y)) (log z))
198.0ms	(pow t 1/3)

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	188	860
1	438	791
2	1333	665
done	5001	649

prune408.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes876.0ms

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	19	23
1	25	23
done	25	23

end0.0ms

sample12.1s

Algorithm

intervals

Results

6.6s	57140×	body	80	nan
1.5s	8030×	body	80	valid