Details

sample60.0ms

Algorithm

intervals

Results

11.0ms	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

simplify132.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize16.0ms

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))))

rewrite243.0ms

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:

52.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
27.0ms	(/ (- x y) (- 1.0 y))
66.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
75.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
45.0ms	(/ (- x y) (- 1.0 y))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
105.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.2s

Counts

239 → 239

Iterations

Useful iterations: done (2.2s)

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

prune576.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)))

rewrite258.0ms

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:

28.0ms	(/ (- x y) (- 1.0 y))
50.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
101.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
62.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- x y) (- 1.0 y))
210.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
182.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
69.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.8s

Counts

260 → 260

Iterations

Useful iterations: done (2.8s)

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

prune792.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

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)))))

rewrite238.0ms

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:

56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
60.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
48.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
48.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
70.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
186.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
148.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.3s

Counts

288 → 288

Iterations

Useful iterations: done (1.3s)

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

prune647.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))))))

rewrite540.0ms

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:

53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
67.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
36.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
357.0ms	(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)))))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
71.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
193.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
178.0ms	(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)))))))

simplify1.5s

Counts

321 → 321

Iterations

Useful iterations: done (1.5s)

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

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

98.6% (0.2b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	54
done	23	54

end0.0ms

sample2.4s

Algorithm

intervals

Results

757.0ms	5703×	body	80	valid
354.0ms	789×	body	1280	valid
251.0ms	832×	body	640	valid
169.0ms	3654×	body	80	nan
100.0ms	436×	body	320	valid
90.0ms	349×	body	1280	nan
75.0ms	377×	body	640	nan
70.0ms	219×	body	320	nan
26.0ms	240×	body	160	valid
9.0ms	97×	body	160	nan