Details

sample163.0ms

Algorithm

intervals

Results

63.0ms	729×	body	80	nan
17.0ms	188×	body	80	valid
14.0ms	27×	body	640	valid
8.0ms	26×	body	320	valid
5.0ms	5×	body	1280	valid
2.0ms	12×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize24.0ms

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))
7.2b	(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:

21.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
35.0ms	(* (- z 1.0) (log (- 1.0 y)))
26.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series363.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
66.0ms	(* (- z 1.0) (log (- 1.0 y)))
84.0ms	(* (- x 1.0) (log y))
52.0ms	(log (- 1.0 y))

simplify1.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	2036
1	660
0	254

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (- (log 1.0) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))) (* 1.0 y)))
0.1b	(* (- x 1.0) (log y))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
1.1b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

233.0ms	(* (- z 1.0) (- (- (log 1.0) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))) (* 1.0 y)))
26.0ms	(* (- x 1.0) (log y))
21.0ms	(* (/ 1.0 y) (/ 1.0 y))
22.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (- z 1.0) (- (- (log 1.0) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))) (* 1.0 y)))
92.0ms	(* (- x 1.0) (log y))
40.0ms	(* (/ 1.0 y) (/ 1.0 y))
39.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.3s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	3408
1	922
0	324

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize80.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
1.1b	(/ 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)
17.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series751.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt y)
260.0ms	(cbrt y)
195.0ms	(cbrt y)
27.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5074
3	4206
2	804
1	230
0	93

prune644.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
1.1b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))
4.9b	(pow y 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
22×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
6×	`cbrt-prod`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `times-frac` `associate-/r/` `associate-/l*`
2×	`pow1/3`
1×	`frac-times` `pow-to-exp` `clear-num` `associate-/r` `pow-pow` `frac-2neg` `unpow1/3` `associate-l/` `pow-exp` `associate-*r/` `div-inv` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))
3.0ms	(pow y 1/3)

series767.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
250.0ms	(cbrt y)
29.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))
229.0ms	(pow y 1/3)

simplify3.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4826
2	1035
1	297
0	120

prune779.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes925.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	41
1	41
0	32

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.7s	24237×	body	80	nan
973.0ms	5824×	body	80	valid
914.0ms	769×	body	640	valid
248.0ms	265×	body	1280	valid
222.0ms	714×	body	320	valid
117.0ms	458×	body	160	valid