Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	259×	body	80	valid
5.0ms	254×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite8.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

7.0ms

(* x (log x))

series269.0ms

Counts

1 → 3

Calls

1 calls:

269.0ms

(* x (log x))

simplify1.0s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
3	1676
2	293
1	109
0	55

prune98.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite37.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out` `pow1/3` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `sum-log` `fma-def` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* (log (cbrt x)) (+ x x))
14.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

395.0ms	(* (log (cbrt x)) (+ x x))
423.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
206.0ms	(cbrt x)
199.0ms	(cbrt x)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1678
1	368
0	139

prune423.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.2b	(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

11.0ms	(* x (log (cbrt x)))
0.0ms	(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series2.0s

Counts

4 → 12

Calls

4 calls:

438.0ms	(* x (log (cbrt x)))
1.1s	(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
255.0ms	(cbrt x)
251.0ms	(cbrt x)

simplify2.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4426
2	637
1	200
0	98

prune453.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow x 1/3)) (+ x x))
0.3b	(+ (* (log (pow x 1/3)) (+ x x)) (* x (log (cbrt x))))
0.5b	(cbrt x)
5.0b	(pow x 1/3)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
12×	`associate-+r+` `log-prod` `associate-r`
9×	`cbrt-prod`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`pow-unpow` `unpow-prod-down` `distribute-rgt-out` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `associate-*r/` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `distribute-lft1-in` `unpow1/3` `count-2` `pow1/3` `pow-prod-down` `distribute-rgt1-in` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

18.0ms	(* (log (pow x 1/3)) (+ x x))
20.0ms	(+ (* (log (pow x 1/3)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
4.0ms	(pow x 1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

419.0ms	(* (log (pow x 1/3)) (+ x x))
628.0ms	(+ (* (log (pow x 1/3)) (+ x x)) (* x (log (cbrt x))))
307.0ms	(cbrt x)
256.0ms	(pow x 1/3)

simplify3.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	2432
1	506
0	173

prune541.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample889.0ms

Algorithm

intervals

Results

368.0ms	8041×	body	80	valid
222.0ms	7968×	body	80	nan