Details

sample457.0ms

Algorithm

intervals

Results

230.0ms	1738×	body	80	nan
79.0ms	257×	body	80	valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3797
6	1641
5	929
4	379
3	147
2	59
1	27
0	15

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

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

rewrite635.0ms

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:

120.0ms	(- (+ (log (+ x y)) (log z)) t)
429.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
47.0ms	(* (- a 0.5) (log t))
29.0ms	(+ (log (+ x y)) (log z))

series953.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(- (+ (log (+ x y)) (log z)) t)
387.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
107.0ms	(* (- a 0.5) (log t))
132.0ms	(+ (log (+ x y)) (log z))

simplify3.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5003
2	2252
1	632
0	239

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

90.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
29.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))

series1.0s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
249.0ms	(cbrt (+ x y))
237.0ms	(cbrt (+ x y))
230.0ms	(cbrt (+ x y))

simplify3.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	1734
2	681
1	276
0	116

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize190.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
5.0b	(pow (+ x y) 1/3)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
32×	`cbrt-prod`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `cbrt-div`
12×	`pow1`
9×	`swap-sqr` `distribute-lft-out`
8×	`flip3-+` `pow1/3` `flip-+`
7×	`add-exp-log` `associate-r` `associate-l`
4×	`frac-times` `unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

75.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
19.0ms	(pow (+ x y) 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
237.0ms	(cbrt (+ x y))
248.0ms	(cbrt (+ x y))
248.0ms	(pow (+ x y) 1/3)

simplify4.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5007
3	2689
2	1112
1	405
0	145

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

27.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
6.0ms	(cbrt t)

series2.9s

Counts

4 → 12

Calls

4 calls:

251.0ms	(+ (log (+ x y)) (log z))
682.0ms	(cbrt t)
791.0ms	(cbrt t)
1.2s	(cbrt t)

simplify9.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
4	4380
3	1261
2	496
1	191
0	92

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes4.3s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end7.0ms

sample32.3s

Algorithm

intervals

Results

22.2s	55171×	body	80	nan
5.6s	8031×	body	80	valid