Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	185×	body	80	valid
5.0ms	25×	body	1280	valid
3.0ms	113×	body	80	nan
3.0ms	21×	body	640	valid
2.0ms	14×	body	1280	nan
2.0ms	19×	body	320	valid
1.0ms	9×	body	640	nan
1.0ms	8×	body	320	nan
0.0ms	6×	body	160	valid
0.0ms	1×	body	160	nan

simplify120.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	59	12
5	75	12
6	83	12
7	98	12
8	128	12
9	182	12
10	225	12
done	225	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

21.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
10.0ms	(/ (- x y) (- 1.0 y))
18.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
38.0ms	(/ (- x y) (- 1.0 y))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify463.0ms

Counts

120 → 120

Iterations

Useful iterations: done (459.0ms)

Iter	Nodes	Cost
0	205	1894
1	489	1792
2	1361	1680
done	5000	1678

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
4.5b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
5.6b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 y))
22.0ms	(* (- x y) (/ 1 (- 1.0 y)))
2.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
4.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (- 1.0 y))
37.0ms	(* (- x y) (/ 1 (- 1.0 y)))
53.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
86.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify889.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	205	1754
1	485	1466
2	1841	1277
done	5000	1277

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.7b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
5.7b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`pow1` `add-exp-log`
4×	`log-div` `cbrt-div` `flip3--` `times-frac` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 74

Calls

4 calls:

18.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
19.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
114.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
116.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify692.0ms

Counts

86 → 86

Iterations

Useful iterations: 3 (185.0ms)

Iter	Nodes	Cost
0	119	1594
1	240	1544
2	521	1412
3	1787	1360
done	5000	1360

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0))))
2.0b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.0b	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
13.4b	(log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
73×	`difference-of-squares`
72×	`log-prod`
54×	`unpow-prod-down` `cube-prod`
42×	`*-un-lft-identity`
33×	`associate--l+`
30×	`sqr-pow`
24×	`times-frac`
19×	`distribute-lft-out--`
10×	`pow1`
8×	`add-cube-cbrt` `log-div`
6×	`add-exp-log` `log-pow` `add-log-exp`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`difference-cubes` `associate--r+`
2×	`associate--l-` `sub-neg` `flip3-+` `diff-log` `rem-log-exp` `flip-+` `associate--r-`

Counts

4 → 157

Calls

4 calls:

100.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0))))
69.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
69.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
27.0ms	(log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

369.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0))))
181.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
328.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
171.0ms	(log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0)))

simplify599.0ms

Counts

169 → 169

Iterations

Useful iterations: done (588.0ms)

Iter	Nodes	Cost
0	263	5772
1	607	5449
2	1779	5258
done	5001	5256

prune512.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes154.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	42
1	30	42
done	30	42

end0.0ms

sample976.0ms

Algorithm

intervals

Results

215.0ms	5677×	body	80	valid
157.0ms	833×	body	1280	valid
98.0ms	731×	body	640	valid
93.0ms	3682×	body	80	nan
58.0ms	370×	body	1280	nan
46.0ms	484×	body	320	valid
42.0ms	363×	body	640	nan
18.0ms	230×	body	320	nan
17.0ms	275×	body	160	valid
6.0ms	122×	body	160	nan