Details

sample95.0ms

Algorithm

intervals

Results

16.0ms	176×	body	80	valid
16.0ms	35×	body	1280	valid
9.0ms	25×	body	640	valid
8.0ms	124×	body	80	nan
5.0ms	18×	body	640	nan
4.0ms	16×	body	320	valid
3.0ms	7×	body	1280	nan
1.0ms	6×	body	320	nan
1.0ms	5×	body	160	nan
1.0ms	4×	body	160	valid

simplify2.3s

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	75	12
5	124	12
6	208	12
7	320	12
8	772	12
9	3045	12
done	5001	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize28.0ms

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))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite356.0ms

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:

79.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
54.0ms	(/ (- x y) (- 1.0 y))
95.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
97.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
70.0ms	(/ (- x y) (- 1.0 y))
96.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
163.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify3.5s

Counts

239 → 239

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	390	8619
1	1029	7668
2	4232	5877
done	5000	5876

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.9b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.8b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite147.0ms

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:

24.0ms	(/ 1 (- 1.0 y))
94.0ms	(* (- x y) (/ 1 (- 1.0 y)))
9.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
12.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (- 1.0 y))
84.0ms	(* (- x y) (/ 1 (- 1.0 y)))
179.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
141.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify7.0s

Counts

143 → 143

Iterations

Useful iterations: done (7.0s)

Iter	Nodes	Cost
0	222	1969
1	553	1748
2	3729	1447
done	5000	1443

prune942.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

152×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
93×	`prod-diff`
79×	`times-frac`
72×	`add-cube-cbrt`
38×	`difference-of-squares`
34×	`distribute-lft-out--`
18×	`log-prod`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `rem-log-exp` `log-pow` `div-inv`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 171

Calls

4 calls:

96.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
109.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
106.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
111.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series723.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
202.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
201.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
204.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify3.5s

Counts

183 → 183

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	300	7295
1	761	6729
2	2646	5114
done	5001	4096

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

152×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
93×	`prod-diff`
79×	`times-frac`
72×	`add-cube-cbrt`
38×	`difference-of-squares`
34×	`distribute-lft-out--`
18×	`log-prod`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `rem-log-exp` `log-pow` `div-inv`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 171

Calls

4 calls:

86.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
89.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
97.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
97.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series625.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
173.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
174.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
162.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify3.7s

Counts

183 → 183

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	300	7295
1	761	6729
2	2646	5114
done	5001	4096

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes521.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.4b

bsearch281.0ms

Steps

Iters	Range		Point
10	0.013914501587729765	3.228446721930518e+16	106063957.48696265
8	-1.1067698676223754e+18	-1112375351328255.6	-1123308855491800.2

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	26	56
1	32	40
done	32	40

end0.0ms

sample3.0s

Algorithm

intervals

Results

758.0ms	5750×	body	80	valid
513.0ms	817×	body	1280	valid
254.0ms	3790×	body	80	nan
250.0ms	372×	body	1280	nan
248.0ms	769×	body	640	valid
156.0ms	376×	body	640	nan
97.0ms	426×	body	320	valid
44.0ms	219×	body	320	nan
36.0ms	238×	body	160	valid
16.0ms	127×	body	160	nan