Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	257×	body	80	valid
5.0ms	312×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-l` `add-exp-log`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

13.0ms

(* x (log x))

series295.0ms

Counts

1 → 3

Calls

1 calls:

295.0ms

(* x (log x))

simplify3.5s

Counts

28 → 28

Iterations

Iter	Nodes
done	5001
4	3078
3	559
2	209
1	98
0	53

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt x)) (+ x x))
0.3b	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`cbrt-prod` `associate-+r+` `log-prod` `associate-r`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
3×	`distribute-rgt-out` `pow1/3` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `sum-log` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

32.0ms	(* (log (cbrt x)) (+ x x))
14.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

480.0ms	(* (log (cbrt x)) (+ x x))
474.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
247.0ms	(cbrt x)
294.0ms	(cbrt x)

simplify4.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	4463
2	1142
1	339
0	133

prune509.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow x 1/3)))
0.3b	(+ (* (log (cbrt x)) (+ x x)) (* x (log (pow x 1/3))))
0.6b	(cbrt x)
5.1b	(pow x 1/3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`cbrt-prod` `pow-unpow` `associate-l`
2×	`associate-+l+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

12.0ms	(* x (log (pow x 1/3)))
18.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (pow x 1/3))))
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

465.0ms	(* x (log (pow x 1/3)))
611.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (pow x 1/3))))
249.0ms	(cbrt x)
269.0ms	(pow x 1/3)

simplify3.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	4767
2	1122
1	380
0	160

prune500.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log (cbrt x)) (+ x x)) (* (log (sqrt (pow x 1/3))) x))
0.6b	(cbrt x)
5.1b	(pow x 1/3)
5.1b	(pow x 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `pow-unpow` `unpow-prod-down` `add-exp-log` `add-log-exp`
4×	`add-cbrt-cube`
3×	`cbrt-prod`
2×	`pow-to-exp` `associate-+l+` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 60

Calls

4 calls:

19.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (log (sqrt (pow x 1/3))) x))
1.0ms	(cbrt x)
4.0ms	(pow x 1/3)
4.0ms	(pow x 1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

1.1s	(+ (* (log (cbrt x)) (+ x x)) (* (log (sqrt (pow x 1/3))) x))
276.0ms	(cbrt x)
251.0ms	(pow x 1/3)
286.0ms	(pow x 1/3)

simplify3.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	4413
2	949
1	293
0	104

prune449.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
1	4
0	3

end0.0ms

sample887.0ms

Algorithm

intervals

Results

294.0ms	8034×	body	80	valid
255.0ms	8039×	body	80	nan