Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
7.0ms	225×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite15.0ms

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:

14.0ms

(* x (log x))

series264.0ms

Counts

1 → 3

Calls

1 calls:

264.0ms

(* x (log x))

simplify3.4s

Counts

28 → 28

Iterations

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

prune125.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)

rewrite75.0ms

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:

41.0ms	(* (log (cbrt x)) (+ x x))
27.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

478.0ms	(* (log (cbrt x)) (+ x x))
520.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
288.0ms	(cbrt x)
319.0ms	(cbrt x)

simplify4.1s

Counts

92 → 92

Iterations

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

prune514.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (* (cbrt (- x)) (cbrt -1)))
0.3b	(* (* x 3) (log (* (cbrt (- x)) (cbrt -1))))
0.6b	(cbrt (- x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
11×	`add-exp-log`
10×	`cbrt-prod`
8×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
6×	`associate-r` `log-pow`
5×	`pow1/3`
4×	`prod-exp`
3×	`distribute-lft-neg-in` `log-prod` `distribute-rgt-neg-in` `cbrt-unprod` `add-log-exp`
2×	`rem-log-exp`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

13.0ms	(log (* (cbrt (- x)) (cbrt -1)))
55.0ms	(* (* x 3) (log (* (cbrt (- x)) (cbrt -1))))
3.0ms	(cbrt (- x))

series1.4s

Counts

3 → 9

Calls

3 calls:

512.0ms	(log (* (cbrt (- x)) (cbrt -1)))
649.0ms	(* (* x 3) (log (* (cbrt (- x)) (cbrt -1))))
264.0ms	(cbrt (- x))

simplify2.7s

Counts

63 → 63

Iterations

Iter	Nodes
done	5003
3	2455
2	704
1	216
0	95

prune265.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.3b	(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* x (log (cbrt x))))
0.6b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`log-prod`
23×	`*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod`
13×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in`
12×	`associate-+r+`
11×	`add-exp-log`
9×	`pow1` `times-frac`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`associate-+l+` `pow1/3` `div-exp` `log-pow`
1×	`pow-to-exp` `+-commutative` `rec-exp` `sum-log` `flip3-+` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `pow-flip` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* x (log (cbrt x)))
25.0ms	(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
12.0ms	(pow (/ 1 x) -1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

450.0ms	(* x (log (cbrt x)))
981.0ms	(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* x (log (cbrt x))))
322.0ms	(cbrt x)
261.0ms	(pow (/ 1 x) -1/3)

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1656
1	521
0	197

prune478.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes118.0ms

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

sample758.0ms

Algorithm

intervals

Results

322.0ms	8034×	body	80	valid
186.0ms	7997×	body	80	nan