Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	258×	body	80	valid
12.0ms	274×	body	80	nan

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite51.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

47.0ms

(* x (log x))

series324.0ms

Counts

1 → 3

Calls

1 calls:

324.0ms

(* x (log x))

simplify7.3s

Counts

29 → 29

Iterations

Iter	Nodes
done	5000
4	2621
3	573
2	208
1	102
0	54

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`insert-posit16`
3×	`pow1/3` `associate-r`
2×	`associate-+l+` `log-pow`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

27.0ms	(* (log (cbrt x)) x)
37.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
2.0ms	(cbrt x)
3.0ms	(cbrt x)

series1.9s

Counts

4 → 12

Calls

4 calls:

665.0ms	(* (log (cbrt x)) x)
638.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
286.0ms	(cbrt x)
332.0ms	(cbrt x)

simplify11.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4000
2	926
1	244
0	87

prune798.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log (cbrt x)) (+ x x)) (* (* (log (cbrt x)) (sqrt x)) (sqrt x)))
0.4b	(* (* (log (cbrt x)) (sqrt x)) (sqrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `associate-r` `add-log-exp`
4×	`insert-posit16`
3×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`associate-+l+` `pow1/3`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 60

Calls

4 calls:

69.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (* (log (cbrt x)) (sqrt x)) (sqrt x)))
62.0ms	(* (* (log (cbrt x)) (sqrt x)) (sqrt x))
5.0ms	(cbrt x)
5.0ms	(cbrt x)

series1.8s

Counts

4 → 12

Calls

4 calls:

585.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (* (log (cbrt x)) (sqrt x)) (sqrt x)))
512.0ms	(* (* (log (cbrt x)) (sqrt x)) (sqrt x))
342.0ms	(cbrt x)
372.0ms	(cbrt x)

simplify3.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5003
2	1268
1	320
0	111

prune842.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize152.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b	(cbrt x)
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

65.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
5.0ms	(cbrt x)
8.0ms	(cbrt (sqrt x))
8.0ms	(cbrt (sqrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
340.0ms	(cbrt x)
270.0ms	(cbrt (sqrt x))
256.0ms	(cbrt (sqrt x))

simplify3.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	1381
2	463
1	191
0	92

prune991.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	4
1	4
0	3

end0.0ms

sample1.3s

Algorithm

intervals

Results

484.0ms	8043×	body	80	valid
382.0ms	8126×	body	80	nan