Details

sample59.0ms

Algorithm

intervals

Results

12.0ms	177×	body	80	valid
7.0ms	22×	body	1280	valid
6.0ms	134×	body	80	nan
6.0ms	27×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	12×	body	640	nan
2.0ms	7×	body	1280	nan
1.0ms	11×	body	160	valid
1.0ms	6×	body	320	nan
0.0ms	1×	body	160	nan

simplify140.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	54	12
5	62	12
6	70	12
7	85	12
8	103	12
9	116	12
done	116	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize11.0ms

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))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite242.0ms

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:

61.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms	(/ (- x y) (- 1.0 y))
72.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
47.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
45.0ms	(/ (- x y) (- 1.0 y))
68.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
130.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.1s

Counts

239 → 239

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	390	8619
1	978	7647
2	2696	5742
done	5000	4742

prune552.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
144×	`times-frac`
102×	`add-cube-cbrt`
93×	`prod-diff`
58×	`difference-of-squares`
50×	`distribute-lft-out--`
24×	`log-prod`
12×	`associate-/r/`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `div-exp`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 248

Calls

4 calls:

31.0ms	(/ (- x y) (- 1.0 y))
49.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
128.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
90.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- x y) (- 1.0 y))
237.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
195.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
72.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.4s

Counts

260 → 260

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	432	8789
1	1066	8133
2	2916	6364
done	5000	5518

prune623.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite272.0ms

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×	`sqrt-prod` `associate-/r/`
10×	`flip3--` `flip--`
8×	`pow1` `add-log-exp`
6×	`add-exp-log` `fma-neg` `log-pow` `div-inv`
4×	`expm1-log1p-u` `log-div` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 276

Calls

4 calls:

70.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
68.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
54.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
50.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
85.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
158.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
190.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.4s

Counts

288 → 288

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	323	13254
1	767	12138
2	2021	8744
done	5000	7054

prune897.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

rewrite692.0ms

Algorithm

rewrite-expression-head

Rules

272×	`add-sqr-sqrt`
263×	`*-un-lft-identity`
186×	`prod-diff`
153×	`times-frac`
137×	`add-cube-cbrt`
66×	`difference-of-squares`
63×	`distribute-lft-out--`
54×	`cbrt-div`
36×	`flip3--` `flip--`
28×	`frac-times` `log-div` `sqrt-div`
27×	`pow1`
20×	`log-pow`
16×	`sqrt-pow1`
14×	`associate-*l/`
13×	`log-prod`
12×	`associate-/r/`
9×	`pow1/3` `pow-prod-up`
8×	`associate-*r/` `add-log-exp`
7×	`sqrt-prod`
6×	`add-exp-log` `pow-plus` `fma-neg` `div-inv`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-sqr`
2×	`pow2` `sub-neg` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`
1×	`pow3`

Counts

4 → 309

Calls

4 calls:

58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
60.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
58.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
485.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
84.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
210.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
184.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

simplify1.6s

Counts

321 → 321

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	474	16190
1	961	14745
2	2228	10734
done	5000	8900

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes256.0ms

Accuracy

98.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 18.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	54
done	23	54

end0.0ms

sample2.3s

Algorithm

intervals

Results

569.0ms	3654×	body	80	nan
412.0ms	5703×	body	80	valid
288.0ms	789×	body	1280	valid
271.0ms	832×	body	640	valid
123.0ms	349×	body	1280	nan
109.0ms	377×	body	640	nan
107.0ms	436×	body	320	valid
31.0ms	219×	body	320	nan
26.0ms	240×	body	160	valid
9.0ms	97×	body	160	nan