Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

306×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (230.0ms)

Iter	Nodes	Cost
0	12	13
1	22	13
2	45	13
3	97	13
4	186	13
5	302	13
6	457	13
7	676	11
8	1192	11
9	3235	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+l+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

7.0ms	(/ (- x z) y)
14.0ms	(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

series57.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- x z) y)
31.0ms	(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

simplify969.0ms

Counts

57 → 57

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	109	678
1	268	654
2	679	600
3	2348	592
done	5000	591

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))))
0.2b	(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
4.1b	(- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
21.9b	(/ (+ (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3) (pow 1.0 3)) (- (* 1.0 1.0) (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
10×	`associate-*r/`
6×	`add-log-exp`
5×	`flip3--` `flip3-+` `flip--` `flip-+` `associate-/l*`
4×	`frac-times` `pow-prod-down` `prod-exp` `sum-cubes` `cbrt-unprod` `distribute-lft-out`
3×	`distribute-rgt-in` `sub-neg` `pow-unpow` `distribute-lft-in` `associate-r` `associate-/r*`
2×	`cube-div` `pow-pow` `associate-*l/` `pow-exp` `associate-/r/` `associate-/l/` `associate--r+` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `diff-log` `unpow3` `cube-prod` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 107

Calls

4 calls:

57.0ms	(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))))
14.0ms	(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
2.0ms	(- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
34.0ms	(/ (+ (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3) (pow 1.0 3)) (- (* 1.0 1.0) (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))))
114.0ms	(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
44.0ms	(- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
188.0ms	(/ (+ (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3) (pow 1.0 3)) (- (* 1.0 1.0) (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))))))

simplify976.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	227	4387
1	651	4176
2	2972	3804
done	5001	3804

prune384.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	14	11
done	14	11

end0.0ms

sample516.0ms

Algorithm

intervals

Results

309.0ms

10156×

body

valid