Details

sample71.0ms

Algorithm

intervals

Results

37.0ms	75×	body	1280	valid
11.0ms	47×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	86×	body	80	valid
1.0ms	13×	body	160	valid
1.0ms	47×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize8.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

12.0ms

(log (+ 1.0 x))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(log (+ 1.0 x))

simplify3.8s

Counts

19 → 19

Iterations

Iter	Nodes
done	5003
4	2336
3	723
2	285
1	124
0	59

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (/ (/ 1/2 (/ 1.0 x)) (/ 1.0 x)))
0.1b	(/ (/ 1/2 (/ 1.0 x)) (/ 1.0 x))
0.2b	(/ 1/2 (/ 1.0 x))

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

1991×	`times-frac`
879×	`add-sqr-sqrt`
852×	`*-un-lft-identity`
850×	`add-cube-cbrt`
107×	`div-inv`
47×	`associate-/l*`
29×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r*`
18×	`cbrt-undiv` `div-exp`
16×	`associate-/r/`
7×	`add-log-exp` `difference-of-squares`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `diff-log` `frac-sub`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `associate--l+` `flip-+` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

3 → 750

Calls

3 calls:

389.0ms	(- (+ (* 1.0 x) (log 1.0)) (/ (/ 1/2 (/ 1.0 x)) (/ 1.0 x)))
87.0ms	(/ (/ 1/2 (/ 1.0 x)) (/ 1.0 x))
23.0ms	(/ 1/2 (/ 1.0 x))

series147.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (+ (* 1.0 x) (log 1.0)) (/ (/ 1/2 (/ 1.0 x)) (/ 1.0 x)))
50.0ms	(/ (/ 1/2 (/ 1.0 x)) (/ 1.0 x))
20.0ms	(/ 1/2 (/ 1.0 x))

simplify6.2s

Counts

759 → 759

Iterations

Iter	Nodes
done	5002
1	4520
0	1309

prune7.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (/ 1/2 (/ 1.0 x)))) (/ 1.0 x))
0.2b	(/ 1/2 (/ 1.0 x))
4.3b	(log (exp (/ 1/2 (/ 1.0 x))))

rewrite809.0ms

Algorithm

rewrite-expression-head

Rules

2130×	`times-frac`
928×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
675×	`log-pow`
660×	`exp-prod`
115×	`div-inv`
51×	`associate-/l*`
26×	`associate-/r*`
18×	`pow1`
17×	`associate-/r/`
13×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp`
3×	`log-prod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`rem-log-exp`

Counts

3 → 829

Calls

3 calls:

137.0ms	(/ (log (exp (/ 1/2 (/ 1.0 x)))) (/ 1.0 x))
12.0ms	(/ 1/2 (/ 1.0 x))
47.0ms	(log (exp (/ 1/2 (/ 1.0 x))))

series103.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (log (exp (/ 1/2 (/ 1.0 x)))) (/ 1.0 x))
19.0ms	(/ 1/2 (/ 1.0 x))
33.0ms	(log (exp (/ 1/2 (/ 1.0 x))))

simplify6.5s

Counts

838 → 838

Iterations

Iter	Nodes
done	5001
1	4004
0	1437

prune8.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize107.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1/2 (/ 1.0 x))
0.2b	(/ 1/2 (/ 1.0 x))
4.3b	(log (* (cbrt (exp (/ 1/2 (/ 1.0 x)))) (cbrt (exp (/ 1/2 (/ 1.0 x))))))
4.4b	(log (cbrt (exp (/ 1/2 (/ 1.0 x)))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
90×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
26×	`associate-/r*`
18×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`pow1`
11×	`log-pow`
10×	`div-inv`
7×	`log-prod` `pow1/3`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `rem-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 179

Calls

4 calls:

11.0ms	(/ 1/2 (/ 1.0 x))
21.0ms	(/ 1/2 (/ 1.0 x))
56.0ms	(log (* (cbrt (exp (/ 1/2 (/ 1.0 x)))) (cbrt (exp (/ 1/2 (/ 1.0 x))))))
27.0ms	(log (cbrt (exp (/ 1/2 (/ 1.0 x)))))

series2.2s

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1/2 (/ 1.0 x))
33.0ms	(/ 1/2 (/ 1.0 x))
1.2s	(log (* (cbrt (exp (/ 1/2 (/ 1.0 x)))) (cbrt (exp (/ 1/2 (/ 1.0 x))))))
998.0ms	(log (cbrt (exp (/ 1/2 (/ 1.0 x)))))

simplify7.2s

Counts

191 → 191

Iterations

Iter	Nodes
done	5209
3	4642
2	1272
1	475
0	214

prune2.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes273.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch3.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	30
1	30
0	26

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2270×	body	1280	valid
517.0ms	1642×	body	640	valid
165.0ms	2672×	body	80	nan
137.0ms	2858×	body	80	valid
134.0ms	830×	body	320	valid
37.0ms	400×	body	160	valid