Details

sample207.0ms

Algorithm

intervals

Results

75.0ms	771×	body	80	nan
35.0ms	186×	body	80	valid
15.0ms	25×	body	640	valid
11.0ms	10×	body	1280	valid
9.0ms	24×	body	320	valid
3.0ms	12×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4312
5	1312
4	339
3	117
2	49
1	26
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
4.6b	(log (- 1.0 y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-r`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 109

Calls

4 calls:

24.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
23.0ms	(* (- z 1.0) (log (- 1.0 y)))
34.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
46.0ms	(* (- z 1.0) (log (- 1.0 y)))
80.0ms	(* (- x 1.0) (log y))
61.0ms	(log (- 1.0 y))

simplify1.9s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	2857
1	660
0	254

prune979.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))))
0.1b	(* (- x 1.0) (log y))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
1.2b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
42×	`add-cube-cbrt`
37×	`flip3--` `flip--`
36×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
28×	`frac-add`
18×	`frac-times` `log-prod` `associate-l`
17×	`associate-r`
16×	`associate--l+`
14×	`pow1` `associate-+r+`
13×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `swap-sqr` `div-exp`
12×	`frac-sub`
10×	`associate-*r/`
9×	`prod-exp` `cbrt-unprod`
6×	`associate-+l+` `add-log-exp`
5×	`div-inv` `unswap-sqr`
4×	`sub-neg`
3×	`associate-/r/` `associate-/l*`
2×	`pow-prod-down` `*-commutative`
1×	`pow2` `+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `pow-plus` `pow-sqr` `log-pow` `pow-prod-up` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 185

Calls

4 calls:

42.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))))
35.0ms	(* (- x 1.0) (log y))
37.0ms	(* (/ 1.0 y) (/ 1.0 y))
22.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))))
95.0ms	(* (- x 1.0) (log y))
31.0ms	(* (/ 1.0 y) (/ 1.0 y))
41.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.3s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
1	1475
0	455

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt y)) (- x 1.0))
0.1b	(* (log (sqrt y)) (- x 1.0))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
1.2b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
38×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
25×	`associate-l`
23×	`associate-r`
19×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
10×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `log-pow` `unswap-sqr`
5×	`div-inv`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
3×	`pow-prod-down` `associate-/r/` `-commutative` `associate-/l`
2×	`frac-times` `sqrt-pow1` `flip3--` `pow1/2` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 155

Calls

4 calls:

21.0ms	(* (log (sqrt y)) (- x 1.0))
33.0ms	(* (log (sqrt y)) (- x 1.0))
24.0ms	(* (/ 1.0 y) (/ 1.0 y))
11.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (log (sqrt y)) (- x 1.0))
70.0ms	(* (log (sqrt y)) (- x 1.0))
33.0ms	(* (/ 1.0 y) (/ 1.0 y))
33.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.3s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	3968
1	656
0	211

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
1.2b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r/` `associate-/l*`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series825.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt y)
277.0ms	(cbrt y)
234.0ms	(cbrt y)
36.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify883.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	941
1	237
0	93

prune522.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes719.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.7s	24059×	body	80	nan
577.0ms	5889×	body	80	valid
455.0ms	759×	body	640	valid
342.0ms	700×	body	320	valid
212.0ms	270×	body	1280	valid
71.0ms	417×	body	160	valid