Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	259×	body	80	valid
6.0ms	254×	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

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite7.0ms

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))

series246.0ms

Counts

1 → 3

Calls

1 calls:

246.0ms

(* x (log x))

simplify1.4s

Counts

30 → 30

Iterations

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

prune106.0ms

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)

rewrite39.0ms

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:

21.0ms	(* (log (cbrt x)) (+ x x))
13.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

408.0ms	(* (log (cbrt x)) (+ x x))
368.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
249.0ms	(cbrt x)
253.0ms	(cbrt x)

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1678
1	368
0	139

prune582.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* x (log (cbrt x))) (* x (log (cbrt x)))) (* x (log (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt` `associate-+r+` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
6×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`sum-log` `pow1/3` `distribute-lft-out`
2×	`count-2`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `flip-+`

Counts

4 → 74

Calls

4 calls:

34.0ms	(+ (+ (* x (log (cbrt x))) (* x (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

543.0ms	(+ (+ (* x (log (cbrt x))) (* x (log (cbrt x)))) (* x (log (cbrt x))))
273.0ms	(cbrt x)
263.0ms	(cbrt x)
302.0ms	(cbrt x)

simplify1.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1166
1	247
0	97

prune391.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

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)

rewrite70.0ms

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:

35.0ms	(* (log (pow x 1/3)) (+ x x))
25.0ms	(+ (* (log (pow x 1/3)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
5.0ms	(pow x 1/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

478.0ms	(* (log (pow x 1/3)) (+ x x))
685.0ms	(+ (* (log (pow x 1/3)) (+ x x)) (* x (log (cbrt x))))
263.0ms	(cbrt x)
287.0ms	(pow x 1/3)

simplify3.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	2432
1	506
0	173

prune496.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes115.0ms

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

sample1.2s

Algorithm

intervals

Results

557.0ms	7968×	body	80	nan
265.0ms	8041×	body	80	valid