Details

sample35.0ms

Algorithm

intervals

Results

7.0ms	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

simplify125.0ms

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

localize12.0ms

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))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
184×	`*-un-lft-identity`
105×	`prod-diff`
103×	`times-frac`
91×	`add-cube-cbrt`
49×	`difference-of-squares`
47×	`distribute-lft-out--`
12×	`log-prod`
9×	`pow1` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-exp-log` `add-log-exp`
6×	`fma-neg` `add-cbrt-cube` `associate--r+`
5×	`associate-/r` `log-pow` `associate-/l`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `div-inv`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num`

Counts

4 → 227

Calls

4 calls:

23.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms	(/ (- x y) (- 1.0 y))
27.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
28.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
38.0ms	(/ (- x y) (- 1.0 y))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
87.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.2s

Counts

239 → 239

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	390	8619
1	1002	7647
2	3229	5746
done	5001	5731

prune488.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac`
27×	`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×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`log-prod` `fma-neg` `prod-diff` `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 → 131

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 y))
27.0ms	(* (- x y) (/ 1 (- 1.0 y)))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series204.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- 1.0 y))
41.0ms	(* (- x y) (/ 1 (- 1.0 y)))
52.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
88.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify819.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	222	1969
1	535	1637
2	1894	1442
done	5001	1442

prune302.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

278×	`add-sqr-sqrt`
266×	`*-un-lft-identity`
186×	`prod-diff`
154×	`times-frac`
138×	`add-cube-cbrt`
68×	`difference-of-squares`
64×	`distribute-lft-out--`
18×	`log-prod`
12×	`cbrt-prod` `associate-/r/`
10×	`flip3--` `flip--`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `fma-neg` `div-inv`
4×	`expm1-log1p-u` `log-div` `cbrt-div` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 274

Calls

4 calls:

26.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
27.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
23.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
21.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
116.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
118.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify906.0ms

Counts

286 → 286

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	328	13246
1	797	12150
2	2440	8632
done	5000	8602

prune702.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))))))
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 (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y))))))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

1120×	`add-sqr-sqrt`
1014×	`*-un-lft-identity`
832×	`prod-diff`
633×	`unpow-prod-down` `cube-prod`
624×	`times-frac`
500×	`add-cube-cbrt`
313×	`difference-of-squares`
259×	`distribute-lft-out--`
111×	`sqr-pow`
81×	`cube-mult` `unpow3`
72×	`log-prod`
48×	`associate-/r/`
33×	`associate--l+`
28×	`flip3--` `flip--`
24×	`div-inv`
19×	`pow1`
16×	`fma-neg`
15×	`log-pow`
6×	`add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`difference-cubes` `associate--r+`
2×	`associate--l-` `sub-neg` `diff-log` `rem-log-exp`

Counts

4 → 1009

Calls

4 calls:

78.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))))))
106.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
120.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
1.0ms	(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

364.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))))))
187.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
338.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
162.0ms	(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y))))))

simplify901.0ms

Counts

1021 → 1021

Iterations

Useful iterations: done (833.0ms)

Iter	Nodes	Cost
0	731	71293
1	1724	58515
done	5001	49049

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes149.0ms

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	24	41
1	27	41
done	27	41

end0.0ms

sample1.0s

Algorithm

intervals

Results

222.0ms	5677×	body	80	valid
163.0ms	833×	body	1280	valid
102.0ms	731×	body	640	valid
95.0ms	3682×	body	80	nan
58.0ms	370×	body	1280	nan
48.0ms	484×	body	320	valid
47.0ms	363×	body	640	nan
19.0ms	230×	body	320	nan
18.0ms	275×	body	160	valid
7.0ms	122×	body	160	nan