Details

sample405.0ms

Algorithm

intervals

Results

199.0ms	1949×	body	80	nan
37.0ms	257×	body	80	valid

simplify7.4s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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))

rewrite446.0ms

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:

77.0ms	(- (+ (log (+ x y)) (log z)) t)
312.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
40.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series768.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(- (+ (log (+ x y)) (log z)) t)
325.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
84.0ms	(* (- a 0.5) (log t))
114.0ms	(+ (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

prune656.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))) (* (log (cbrt t)) (- a 0.5)))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

1.4s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
22.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

635.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
118.0ms	(+ (log (+ x y)) (log z))
317.0ms	(cbrt t)
271.0ms	(cbrt t)

simplify2.4s

Counts

90 → 90

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	262	2912
1	894	2682
2	4053	2500
done	5000	2469

prune755.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
5.1b	(pow (/ 1 t) -1/3)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`associate-*r/` `frac-add`
16×	`add-log-exp`
15×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`flip3--` `flip--`
13×	`unpow-prod-down`
10×	`pow1`
9×	`add-exp-log` `times-frac` `sum-log`
7×	`associate-+r+` `log-prod`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-` `pow-exp` `log-pow` `add-cbrt-cube`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `log-div` `distribute-lft-in` `diff-log` `div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

1.3s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
21.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
18.0ms	(pow (/ 1 t) -1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

913.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
118.0ms	(+ (log (+ x y)) (log z))
628.0ms	(cbrt t)
290.0ms	(pow (/ 1 t) -1/3)

simplify2.7s

Counts

111 → 111

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	345	3316
1	1077	2985
2	4526	2739
done	5000	2664

prune827.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
0.4b	(+ (log (+ x y)) (* 2 (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite92.0ms

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:

69.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
15.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

211.0ms	(+ (+ (log (+ x y)) (* 2 (log (cbrt z)))) (log (cbrt z)))
228.0ms	(+ (log (+ x y)) (* 2 (log (cbrt z))))
322.0ms	(cbrt z)
354.0ms	(cbrt z)

simplify3.4s

Counts

86 → 86

Iterations

Useful iterations: done (3.4s)

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

prune619.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes977.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	34	30
done	34	30

end0.0ms

sample13.8s

Algorithm

intervals

Results

7.5s	55816×	body	80	nan
1.6s	8030×	body	80	valid