Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify75.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	42	7
3	82	7
4	110	7
5	122	7
done	122	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

39.0ms

(* (+ x y) (+ z 1.0))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (+ x y) (+ z 1.0))

simplify1.1s

Counts

33 → 33

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	79	415
1	265	396
2	1077	368
done	5000	368

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z 1.0))
0.0b	(sqrt (+ z 1.0))
0.1b	(* (+ x y) (sqrt (+ z 1.0)))
0.1b	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `sqrt-prod`
16×	`associate-*l/`
14×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l` `distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

7.0ms	(sqrt (+ z 1.0))
9.0ms	(sqrt (+ z 1.0))
52.0ms	(* (+ x y) (sqrt (+ z 1.0)))
122.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ z 1.0))
52.0ms	(sqrt (+ z 1.0))
85.0ms	(* (+ x y) (sqrt (+ z 1.0)))
50.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify1.1s

Counts

124 → 124

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	181	2160
1	476	1838
2	1399	1680
done	5000	1673

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3))))
2.6b	(sqrt (+ (pow z 3) (pow 1.0 3)))
4.2b	(/ (* (* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ z 1.0))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
6.6b	(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite425.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-div`
36×	`flip3-+` `flip-+`
35×	`*-un-lft-identity`
32×	`frac-times`
28×	`sqrt-prod`
26×	`associate-/l/`
19×	`add-sqr-sqrt`
16×	`associate-*l/`
15×	`add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`associate-r`
11×	`distribute-lft-out`
10×	`associate-*r/`
8×	`pow1` `unpow-prod-down` `cube-prod`
6×	`times-frac` `associate-/r*`
4×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `sum-cubes` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 130

Calls

4 calls:

132.0ms	(* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3))))
36.0ms	(sqrt (+ (pow z 3) (pow 1.0 3)))
193.0ms	(/ (* (* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ z 1.0))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
57.0ms	(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series656.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3))))
85.0ms	(sqrt (+ (pow z 3) (pow 1.0 3)))
353.0ms	(/ (* (* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ z 1.0))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
82.0ms	(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify1.6s

Counts

142 → 142

Iterations

Useful iterations: 2 (508.0ms)

Iter	Nodes	Cost
0	269	3686
1	683	3041
2	2478	2739
done	5000	2739

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample809.0ms

Algorithm

intervals

Results

384.0ms	10162×	body	80	valid
0.0ms	3×	body	640	valid