Details

sample299.0ms

Algorithm

intervals

Results

166.0ms	846×	body	80	nan
33.0ms	195×	body	80	valid
13.0ms	18×	body	640	valid
13.0ms	23×	body	320	valid
8.0ms	5×	body	1280	valid
6.0ms	16×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.2b	(* (- x 1.0) (log y))
5.0b	(log (- 1.0 y))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
10×	`associate-+r+` `associate-*l/`
8×	`pow1`
7×	`flip3--` `add-exp-log` `flip--`
6×	`associate-+l+` `add-cbrt-cube`
5×	`associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`associate-r` `frac-add` `insert-posit16`
2×	`log-div` `sum-log` `diff-log` `log-pow`
1×	`+-commutative` `sub-neg` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

72.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
20.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
34.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series920.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
573.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
79.0ms	(* (- x 1.0) (log y))
60.0ms	(log (- 1.0 y))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	2636
1	647
0	255

prune715.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (- (log 1.0) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))) (* y 1.0)))
0.2b	(* (- x 1.0) (log y))
0.2b	(* (/ 1.0 y) (/ 1.0 y))
0.4b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite295.0ms

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/` `insert-posit16` `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 → 172

Calls

4 calls:

210.0ms	(* (- z 1.0) (- (- (log 1.0) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))) (* y 1.0)))
32.0ms	(* (- x 1.0) (log y))
31.0ms	(* (/ 1.0 y) (/ 1.0 y))
18.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (- z 1.0) (- (- (log 1.0) (/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))) (* y 1.0)))
69.0ms	(* (- x 1.0) (log y))
52.0ms	(* (/ 1.0 y) (/ 1.0 y))
45.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify995.0ms

Counts

184 → 184

Iterations

Iter	Nodes
done	5000
1	940
0	329

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt y) (cbrt y))
284.0ms	(cbrt y)
213.0ms	(cbrt y)
245.0ms	(cbrt y)

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	731
1	140
0	63

prune771.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.2b	(pow y 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `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 → 84

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series921.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt y) (cbrt y))
216.0ms	(cbrt y)
237.0ms	(cbrt y)
230.0ms	(pow y 1/3)

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2037
1	257
0	92

prune555.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

regimes470.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	35
1	35
0	28

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.4s	24709×	body	80	nan
1.4s	5926×	body	80	valid
555.0ms	774×	body	640	valid
464.0ms	412×	body	160	valid
317.0ms	267×	body	1280	valid
280.0ms	668×	body	320	valid