Details

sample89.0ms

Algorithm

intervals

Results

28.0ms	43×	body	1280	valid
18.0ms	51×	body	640	valid
10.0ms	155×	body	80	valid
5.0ms	22×	body	320	valid
4.0ms	89×	body	80	nan
2.0ms	10×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2012
6	545
5	216
4	91
3	41
2	22
1	15
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(exp (* x (log (/ x (+ x y)))))
0.1b	(* x (log (/ x (+ x y))))
10.0b	(log (/ x (+ x y)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 175

Calls

4 calls:

30.0ms	(/ x (+ x y))
38.0ms	(exp (* x (log (/ x (+ x y)))))
30.0ms	(* x (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ x (+ x y))
428.0ms	(exp (* x (log (/ x (+ x y)))))
159.0ms	(* x (log (/ x (+ x y))))
94.0ms	(log (/ x (+ x y)))

simplify6.6s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
3	4619
2	1259
1	568
0	260

prune2.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp x) (log (/ x (+ x y)))) x)
0.0b	(/ x (+ x y))
0.1b	(pow (exp x) (log (/ x (+ x y))))
10.0b	(log (/ x (+ x y)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `associate-/r*` `flip3-+` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `pow-exp` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 232

Calls

4 calls:

58.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
30.0ms	(/ x (+ x y))
23.0ms	(pow (exp x) (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
66.0ms	(/ x (+ x y))
296.0ms	(pow (exp x) (log (/ x (+ x y))))
108.0ms	(log (/ x (+ x y)))

simplify4.0s

Counts

244 → 244

Iterations

Iter	Nodes
done	5002
2	2062
1	740
0	343

prune2.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
10.0b	(log (/ x (+ x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt x)
3.0ms	(cbrt x)
4.0ms	(cbrt x)
15.0ms	(log (/ x (+ x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt x)
329.0ms	(cbrt x)
350.0ms	(cbrt x)
98.0ms	(log (/ x (+ x y)))

simplify6.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5033
4	3892
3	1021
2	398
1	204
0	107

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (- y)) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

36.0ms

(/ (exp (- y)) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (exp (- y)) x)

simplify5.8s

Counts

35 → 35

Iterations

Iter	Nodes
done	5333
4	3405
3	978
2	331
1	128
0	67

prune375.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes395.0ms

Accuracy

95% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.7b

bsearch181.0ms

Steps

Iters	Range		Point
10	0.17679972651571432	2590629949647.022	11.69456786955557
8	-6.465553349696891e+100	-4.272793295315361e+97	-4.909420533601188e+97

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	1539×	body	1280	valid
747.0ms	1479×	body	640	valid
737.0ms	4811×	body	80	valid
222.0ms	819×	body	320	valid
160.0ms	2957×	body	80	nan
83.0ms	472×	body	160	valid