Details

sample286.0ms

Algorithm

intervals

Results

160.0ms	919×	body	80	nan
49.0ms	302×	body	80	valid

simplify760.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
4	1232
3	330
2	97
1	38
0	20

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+` `insert-posit16`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

464.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
2.1s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
16.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

340.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
651.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
79.0ms	(* (- b 0.5) (log c))
55.0ms	(* x (log y))

simplify624.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2000
1	660
0	252

prune830.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod`
7×	`pow1`
6×	`log-prod` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-l`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

10.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series771.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (log y))
235.0ms	(cbrt c)
243.0ms	(cbrt c)
237.0ms	(cbrt c)

simplify936.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2001
4	1813
3	729
2	314
1	147
0	81

prune768.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3`
2×	`associate-+l+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 50

Calls

4 calls:

19.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series827.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
264.0ms	(cbrt y)
236.0ms	(cbrt y)
224.0ms	(cbrt y)

simplify531.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	2000
2	727
1	183
0	64

prune569.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* (log (* (cbrt -1) (cbrt (- y)))) (* x 3)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.4b	(* (log (* (cbrt -1) (cbrt (- y)))) (* x 3))
0.6b	(cbrt (- y))

rewrite6.6s

Algorithm

rewrite-expression-head

Rules

24×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`pow1` `sum-log`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`add-cbrt-cube` `associate-l` `add-exp-log`
10×	`cbrt-prod`
6×	`log-prod` `pow-prod-down`
5×	`associate-r`
4×	`prod-exp` `log-pow` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `pow1/3`
2×	`associate-l/` `-commutative`
1×	`+-commutative` `associate-+l+` `neg-mul-1` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

6.5s	(+ (+ (+ (+ (+ (* (log (* (cbrt -1) (cbrt (- y)))) (* x 3)) z) t) a) (* (- b 0.5) (log c))) (* y i))
28.0ms	(* (- b 0.5) (log c))
38.0ms	(* (log (* (cbrt -1) (cbrt (- y)))) (* x 3))
2.0ms	(cbrt (- y))

series2.2s

Counts

4 → 12

Calls

4 calls:

1.5s	(+ (+ (+ (+ (+ (* (log (* (cbrt -1) (cbrt (- y)))) (* x 3)) z) t) a) (* (- b 0.5) (log c))) (* y i))
98.0ms	(* (- b 0.5) (log c))
300.0ms	(* (log (* (cbrt -1) (cbrt (- y)))) (* x 3))
328.0ms	(cbrt (- y))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	2002
2	1719
1	515
0	229

prune865.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.8s	28066×	body	80	nan
2.2s	9246×	body	80	valid
23.0ms	2×	body	320	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid