Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1.0 3.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`prod-diff`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
28×	`times-frac`
3×	`fma-neg` `div-inv` `add-log-exp`
2×	`difference-of-squares`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--`

Counts

1 → 59

Calls

1 calls:

12.0ms

(- x (/ 1.0 3.0))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- x (/ 1.0 3.0))

simplify1.7s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	2636
2	973
1	379
0	154

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt x) (cbrt x))
245.0ms	(cbrt x)
262.0ms	(cbrt x)
302.0ms	(cbrt x)

simplify3.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4108
3	1072
2	382
1	140
0	65

prune439.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

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))
0.4b	(* x (/ 1.0 3.0))
17.8b	(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite274.0ms

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`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-*r/` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `difference-cubes` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*` `frac-add` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `*-commutative` `flip-+` `div-inv` `associate-/l/`
1×	`pow2` `frac-times` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `pow-plus` `distribute-rgt-out` `flip3--` `div-sub` `associate-*l/` `pow-sqr` `flip--`

Counts

4 → 116

Calls

4 calls:

24.0ms	(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
27.0ms	(* x (* x x))
22.0ms	(* x (/ 1.0 3.0))
194.0ms	(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
44.0ms	(* x (* x x))
22.0ms	(* x (/ 1.0 3.0))
215.0ms	(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2390
1	587
0	212

prune702.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample355.0ms

Algorithm

intervals

Results

235.0ms

8000×

body

valid