Details

sample321.0ms

Algorithm

intervals

Results

198.0ms	1923×	body	80	nan
23.0ms	256×	body	80	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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))

rewrite477.0ms

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:

113.0ms	(- (+ (log (+ x y)) (log z)) t)
299.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
34.0ms	(* (- a 0.5) (log t))
24.0ms	(+ (log (+ x y)) (log z))

series840.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(- (+ (log (+ x y)) (log z)) t)
362.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
73.0ms	(* (- a 0.5) (log t))
136.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

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

prune602.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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)

rewrite90.0ms

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:

55.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
29.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
217.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
290.0ms	(cbrt z)
329.0ms	(cbrt z)

simplify3.6s

Counts

86 → 86

Iterations

Useful iterations: done (3.6s)

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

prune550.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

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))

rewrite77.0ms

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:

37.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
35.0ms	(+ (log (+ x y)) (log z))

series1.0s

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
355.0ms	(cbrt t)
296.0ms	(cbrt t)
95.0ms	(+ (log (+ x y)) (log z))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

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

prune606.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

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)

rewrite85.0ms

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:

53.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
1.0ms	(cbrt t)
22.0ms	(+ (log (+ x y)) (log z))
5.0ms	(pow t 1/3)

series937.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
311.0ms	(cbrt t)
113.0ms	(+ (log (+ x y)) (log z))
239.0ms	(pow t 1/3)

simplify1.7s

Counts

91 → 91

Iterations

Useful iterations: done (1.7s)

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

prune545.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes969.0ms

Accuracy

0% (0.2b 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	19	23
1	25	23
done	25	23

end0.0ms

sample13.3s

Algorithm

intervals

Results

8.8s	57140×	body	80	nan
1.3s	8030×	body	80	valid