Details

sample130.0ms

Algorithm

intervals

Results

45.0ms	53×	body	1280	valid
19.0ms	37×	body	640	valid
15.0ms	161×	body	80	valid
9.0ms	26×	body	320	valid
7.0ms	104×	body	80	nan
4.0ms	19×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1961
5	488
4	149
3	52
2	24
1	15
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize18.0ms

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))))
9.2b	(log (/ x (+ x y)))

rewrite83.0ms

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×	`associate-/r` `associate-r*`
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 → 163

Calls

4 calls:

10.0ms	(/ x (+ x y))
20.0ms	(exp (* x (log (/ x (+ x y)))))
33.0ms	(* x (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ x (+ x y))
370.0ms	(exp (* x (log (/ x (+ x y)))))
125.0ms	(* x (log (/ x (+ x y))))
82.0ms	(log (/ x (+ x y)))

simplify1.7s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	2329
1	592
0	248

prune976.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp x) (log (/ x (+ x y)))) x)
0.0b	(/ x (+ x y))
0.6b	(pow (exp x) (log (/ x (+ x y))))
9.2b	(log (/ x (+ x y)))

rewrite83.0ms

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×	`pow-unpow` `pow-pow` `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 → 220

Calls

4 calls:

26.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
13.0ms	(/ x (+ x y))
15.0ms	(pow (exp x) (log (/ x (+ x y))))
14.0ms	(log (/ x (+ x y)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
53.0ms	(/ x (+ x y))
204.0ms	(pow (exp x) (log (/ x (+ x y))))
54.0ms	(log (/ x (+ x y)))

simplify2.4s

Counts

232 → 232

Iterations

Iter	Nodes
done	5000
2	3167
1	728
0	331

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(pow (exp 1) (* x (log (/ x (+ x y)))))
0.1b	(* x (log (/ x (+ x y))))
9.2b	(log (/ x (+ x y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

18.0ms	(/ x (+ x y))
35.0ms	(pow (exp 1) (* x (log (/ x (+ x y)))))
30.0ms	(* x (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ x (+ x y))
323.0ms	(pow (exp 1) (* x (log (/ x (+ x y)))))
106.0ms	(* x (log (/ x (+ x y))))
70.0ms	(log (/ x (+ x y)))

simplify2.2s

Counts

183 → 183

Iterations

Iter	Nodes
done	5002
2	2981
1	715
0	266

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))))
5.8b	(cbrt (/ x (+ x y)))
5.8b	(cbrt (/ x (+ x y)))
5.8b	(cbrt (/ x (+ x y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
46×	`*-un-lft-identity`
36×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`pow1`
9×	`pow1/3` `log-pow` `distribute-lft-out`
7×	`cbrt-div` `add-exp-log`
6×	`associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `flip-+` `div-inv`
2×	`rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `log-prod` `pow-plus` `associate-l/` `prod-exp` `associate-r/`

Counts

4 → 103

Calls

4 calls:

28.0ms	(log (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))))
9.0ms	(cbrt (/ x (+ x y)))
9.0ms	(cbrt (/ x (+ x y)))
9.0ms	(cbrt (/ x (+ x y)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(log (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))))
223.0ms	(cbrt (/ x (+ x y)))
181.0ms	(cbrt (/ x (+ x y)))
218.0ms	(cbrt (/ x (+ x y)))

simplify1.8s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
4	3932
3	872
2	316
1	170
0	104

prune768.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes143.0ms

Accuracy

89.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.5b

bsearch153.0ms

Steps

Iters	Range		Point
8	1.8707399870697887e-16	5.395425167639615e-14	5.349832006809411e-14
7	-3.1422350234624783e+87	-6.357458366051419e+85	-1.782408069109436e+86

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	1487×	body	1280	valid
1.0s	1478×	body	640	valid
525.0ms	4880×	body	80	valid
310.0ms	836×	body	320	valid
254.0ms	3085×	body	80	nan
81.0ms	459×	body	160	valid