Details

sample478.0ms

Algorithm

intervals

Results

295.0ms	1923×	body	80	nan
34.0ms	256×	body	80	valid

simplify7.5s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

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))

rewrite505.0ms

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:

110.0ms	(- (+ (log (+ x y)) (log z)) t)
332.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
43.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

256.0ms	(- (+ (log (+ x y)) (log z)) t)
589.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
85.0ms	(* (- a 0.5) (log t))
142.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

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

prune681.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)

rewrite54.0ms

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:

32.0ms	(+ (+ (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)

series1.0s

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
196.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
313.0ms	(cbrt z)
291.0ms	(cbrt z)

simplify2.8s

Counts

86 → 86

Iterations

Useful iterations: done (2.8s)

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

prune618.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite54.0ms

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:

38.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(+ (log (+ x y)) (log z))

series889.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
295.0ms	(cbrt t)
272.0ms	(cbrt t)
98.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

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

prune519.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod` `*-un-lft-identity`
39×	`unpow-prod-down`
37×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
27×	`times-frac`
17×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
11×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-l` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `associate-r` `pow-exp` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `associate-+r+` `pow-pow` `div-inv` `sqr-pow`
2×	`associate-+l-` `log-div` `flip3-+` `div-exp` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-to-exp` `rec-exp` `flip3--` `pow-flip` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

48.0ms	(* (- a 0.5) (log (pow (/ 1 t) -1/3)))
1.0ms	(cbrt t)
12.0ms	(+ (log (+ x y)) (log z))
7.0ms	(pow (/ 1 t) -1/3)

series703.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- a 0.5) (log (pow (/ 1 t) -1/3)))
217.0ms	(cbrt t)
95.0ms	(+ (log (+ x y)) (log z))
260.0ms	(pow (/ 1 t) -1/3)

simplify924.0ms

Counts

136 → 136

Iterations

Useful iterations: done (920.0ms)

Iter	Nodes	Cost
0	297	1833
1	593	1600
2	1524	1345
done	5000	1254

prune478.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes679.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	23
1	25	23
done	25	23

end0.0ms

sample11.6s

Algorithm

intervals

Results

7.2s	57140×	body	80	nan
1.3s	8030×	body	80	valid