Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1.0 3.0) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

20.0ms

(+ (/ 1.0 3.0) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (/ 1.0 3.0) x)

simplify970.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	1501
3	532
2	200
1	78
0	28

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ 1.0 3.0) x))
0.0b	(+ (/ 1.0 3.0) x)
0.0b	(+ (/ 1.0 3.0) x)
0.1b	(* (sqrt (+ (/ 1.0 3.0) x)) (sqrt (+ (/ 1.0 3.0) x)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

22.0ms	(sqrt (+ (/ 1.0 3.0) x))
12.0ms	(+ (/ 1.0 3.0) x)
14.0ms	(+ (/ 1.0 3.0) x)
146.0ms	(* (sqrt (+ (/ 1.0 3.0) x)) (sqrt (+ (/ 1.0 3.0) x)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ (/ 1.0 3.0) x))
33.0ms	(+ (/ 1.0 3.0) x)
20.0ms	(+ (/ 1.0 3.0) x)
37.0ms	(* (sqrt (+ (/ 1.0 3.0) x)) (sqrt (+ (/ 1.0 3.0) x)))

simplify776.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1103
1	253
0	109

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (/ 1.0 3.0) x))
0.0b	(+ (/ 1.0 3.0) x)
1.5b	(exp (log (+ (/ 1.0 3.0) x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`log-div` `exp-prod` `exp-sum` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

3 → 45

Calls

3 calls:

18.0ms	(log (+ (/ 1.0 3.0) x))
24.0ms	(+ (/ 1.0 3.0) x)
21.0ms	(exp (log (+ (/ 1.0 3.0) x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(log (+ (/ 1.0 3.0) x))
37.0ms	(+ (/ 1.0 3.0) x)
38.0ms	(exp (log (+ (/ 1.0 3.0) x)))

simplify1.6s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3195
2	643
1	192
0	87

prune228.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ x (/ 1.0 3.0))))
0.2b	(cbrt (log (+ x (/ 1.0 3.0))))
0.2b	(cbrt (log (+ x (/ 1.0 3.0))))
1.5b	(exp (* (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1/3` `log-pow`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt (log (+ x (/ 1.0 3.0))))
1.0ms	(cbrt (log (+ x (/ 1.0 3.0))))
1.0ms	(cbrt (log (+ x (/ 1.0 3.0))))
14.0ms	(exp (* (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0))))))

series752.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (log (+ x (/ 1.0 3.0))))
230.0ms	(cbrt (log (+ x (/ 1.0 3.0))))
245.0ms	(cbrt (log (+ x (/ 1.0 3.0))))
24.0ms	(exp (* (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0))))))

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	4216
2	798
1	239
0	98

prune395.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample342.0ms

Algorithm

intervals

Results

187.0ms

8000×

body

valid