Details

sample41.0ms

Algorithm

intervals

Results

7.0ms	168×	body	80	valid
6.0ms	31×	body	1280	valid
4.0ms	122×	body	80	nan
3.0ms	23×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	12×	body	1280	nan
2.0ms	14×	body	640	nan
1.0ms	9×	body	320	nan
1.0ms	10×	body	160	valid
0.0ms	5×	body	160	nan

simplify109.0ms

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	58	12
5	63	12
6	71	12
7	86	12
8	114	12
9	127	12
10	129	12
done	129	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
3.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

175×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
102×	`times-frac`
93×	`prod-diff`
81×	`add-cube-cbrt`
46×	`difference-of-squares`
44×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`log-div` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `associate--r-`

Counts

3 → 187

Calls

3 calls:

13.0ms	(/ (- x y) (- 1.0 y))
29.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series225.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- 1.0 y))
64.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
110.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.4s

Counts

196 → 196

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	334	7257
1	848	6666
2	2374	5106
done	5000	5091

prune478.0ms

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)))
5.5b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
5.9b	(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))
26.0ms	(* (- x y) (/ 1 (- 1.0 y)))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
3.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1 (- 1.0 y))
51.0ms	(* (- x y) (/ 1 (- 1.0 y)))
69.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
109.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify3.8s

Counts

143 → 143

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	222	1969
1	520	1637
2	1542	1442
3	4965	1410
done	5000	1410

prune373.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite127.0ms

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:

29.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
22.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
23.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
67.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
139.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
148.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.2s

Counts

286 → 286

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	328	13246
1	789	12150
2	2128	8936
done	5001	8906

prune813.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

3.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0b	(log (cbrt (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))))
7.1b	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

173×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
109×	`times-frac`
93×	`prod-diff`
91×	`add-cube-cbrt`
43×	`difference-of-squares`
34×	`log-prod`
32×	`distribute-lft-out--`
28×	`cbrt-prod`
10×	`associate-/r/`
9×	`distribute-lft-out`
8×	`add-exp-log`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-/r` `log-pow` `log1p-expm1-u` `associate-/l`
3×	`log-div` `cbrt-div` `fma-neg`
2×	`flip3-+` `pow1/3` `div-sub` `rem-log-exp` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `associate--r-`

Counts

4 → 218

Calls

4 calls:

28.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
22.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
29.0ms	(log (cbrt (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))))
50.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
137.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
308.0ms	(log (cbrt (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))))
182.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify1.5s

Counts

230 → 230

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	471	10530
1	1061	9819
2	3007	7980
done	5000	7965

prune837.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes172.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	40
1	27	40
done	27	40

end0.0ms

sample1.1s

Algorithm

intervals

Results

231.0ms	5698×	body	80	valid
165.0ms	795×	body	1280	valid
114.0ms	3765×	body	80	nan
107.0ms	756×	body	640	valid
59.0ms	376×	body	1280	nan
52.0ms	484×	body	320	valid
50.0ms	410×	body	640	nan
18.0ms	267×	body	160	valid
17.0ms	201×	body	320	nan
7.0ms	125×	body	160	nan