Details

sample38.0ms

Algorithm

intervals

Results

7.0ms	184×	body	80	valid
5.0ms	25×	body	1280	valid
4.0ms	29×	body	640	valid
3.0ms	108×	body	80	nan
2.0ms	14×	body	1280	nan
1.0ms	11×	body	320	valid
1.0ms	5×	body	640	nan
0.0ms	7×	body	160	valid
0.0ms	4×	body	320	nan
0.0ms	5×	body	160	nan

simplify99.0ms

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: 17.6b

localize9.0ms

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))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite180.0ms

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:

42.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
27.0ms	(/ (- x y) (- 1.0 y))
48.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
48.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
38.0ms	(/ (- x y) (- 1.0 y))
58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
89.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.6s

Counts

239 → 239

Iterations

Useful iterations: done (1.6s)

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

prune460.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.8b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
4.1b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite83.0ms

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:

14.0ms	(/ 1 (- 1.0 y))
51.0ms	(* (- x y) (/ 1 (- 1.0 y)))
7.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
6.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (- 1.0 y))
39.0ms	(* (- x y) (/ 1 (- 1.0 y)))
59.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
90.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify2.4s

Counts

143 → 143

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	222	1969
1	514	1593
2	1439	1442
3	4776	1410
done	5000	1410

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite204.0ms

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:

26.0ms	(/ (- x y) (- 1.0 y))
39.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
73.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (- x y) (- 1.0 y))
162.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
132.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
61.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.9s

Counts

260 → 260

Iterations

Useful iterations: done (1.9s)

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

prune541.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

292×	`add-sqr-sqrt`
236×	`*-un-lft-identity`
203×	`times-frac`
132×	`add-cube-cbrt`
93×	`prod-diff`
90×	`log-prod`
70×	`difference-of-squares`
60×	`sqrt-prod`
50×	`distribute-lft-out--`
42×	`associate-+r+`
12×	`associate-/r/`
11×	`pow1` `log-pow`
9×	`add-exp-log` `fma-def`
7×	`flip3--` `flip--`
6×	`associate-+l+` `associate-/r` `add-cbrt-cube` `div-inv` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `distribute-lft-out`
3×	`exp-prod` `fma-neg`
2×	`log-div` `div-exp` `rem-log-exp`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `pow1/2` `diff-log` `div-sub` `clear-num` `sum-log` `flip-+` `associate--r-`

Counts

4 → 308

Calls

4 calls:

65.0ms	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
39.0ms	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
76.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series747.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
219.0ms	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
199.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.5s

Counts

320 → 320

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	504	10884
1	1192	10070
2	3128	8219
done	5002	7353

prune785.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes139.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 17.9b

bsearch5.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	47
1	26	47
done	26	47

end0.0ms

sample1.1s

Algorithm

intervals

Results

222.0ms	5748×	body	80	valid
153.0ms	807×	body	1280	valid
107.0ms	758×	body	640	valid
91.0ms	3659×	body	80	nan
53.0ms	365×	body	1280	nan
44.0ms	461×	body	320	valid
41.0ms	374×	body	640	nan
16.0ms	178×	body	320	nan
15.0ms	226×	body	160	valid
6.0ms	113×	body	160	nan