Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	6	83
done	6	83

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite9.0ms

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:

9.0ms

(+ x (/ 1.0 3.0))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(+ x (/ 1.0 3.0))

simplify1.3s

Counts

15 → 15

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	28	2506
1	78	2135
2	209	2135
3	563	2135
4	1593	2135
done	5000	2135

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

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:

14.0ms	(sqrt (+ x (/ 1.0 3.0)))
8.0ms	(+ x (/ 1.0 3.0))
9.0ms	(+ x (/ 1.0 3.0))
64.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ x (/ 1.0 3.0)))
21.0ms	(+ x (/ 1.0 3.0))
19.0ms	(+ x (/ 1.0 3.0))
20.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify844.0ms

Counts

114 → 114

Iterations

Useful iterations: done (834.0ms)

Iter	Nodes	Cost
0	109	27900
1	253	19976
2	1104	19734
done	5001	19694

prune318.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

9.0ms	(log (+ x (/ 1.0 3.0)))
12.0ms	(+ x (/ 1.0 3.0))
14.0ms	(exp (log (+ x (/ 1.0 3.0))))

series92.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(log (+ x (/ 1.0 3.0)))
25.0ms	(+ x (/ 1.0 3.0))
20.0ms	(exp (log (+ x (/ 1.0 3.0))))

simplify1.6s

Counts

54 → 54

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	87	15127
1	192	10391
2	648	10189
3	3196	10189
done	5002	10038

prune185.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.1b	(* x (* x x))
0.3b	(* x (/ 1.0 3.0))
20.0b	(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* x (* x x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`associate-r`
9×	`cube-unmult`
8×	`associate-*r/`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`pow-prod-down` `sum-cubes` `associate-/l*`
3×	`associate-/r*` `frac-sub` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-l/` `associate-/r/` `-commutative` `flip-+` `div-inv` `sub-div` `associate-/l/`
1×	`pow2` `frac-times` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `distribute-rgt-out--` `diff-log` `pow-sqr` `flip--`

Counts

4 → 109

Calls

4 calls:

16.0ms	(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
26.0ms	(* x (* x x))
21.0ms	(* x (/ 1.0 3.0))
194.0ms	(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* x (* x x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
54.0ms	(* x (* x x))
16.0ms	(* x (/ 1.0 3.0))
257.0ms	(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* x (* x x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.6s

Counts

121 → 121

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	208	35592
1	569	32527
2	3071	31448
done	5002	31408

prune540.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	6	83
done	6	83

end0.0ms

sample378.0ms

Algorithm

intervals

Results

231.0ms

8000×

body

valid