Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

345×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	20	9
2	41	9
3	57	9
4	76	9
5	110	9
6	219	9
7	525	9
8	1516	9
9	4944	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

159.0ms

(/ (- (+ x y) z) (* t 2.0))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify2.9s

Counts

33 → 33

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	78	418
1	201	411
2	717	355
3	3947	353
done	5000	353

prune189.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`distribute-lft-out`
7×	`add-cube-cbrt`
5×	`distribute-lft-out--`
3×	`frac-sub`
2×	`pow1` `add-exp-log` `flip3-+` `diff-log` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `associate--l+` `flip--`

Counts

2 → 41

Calls

2 calls:

341.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
41.0ms	(+ (/ y t) (/ x t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
33.0ms	(+ (/ y t) (/ x t))

simplify2.3s

Counts

47 → 47

Iterations

Useful iterations: 3 (861.0ms)

Iter	Nodes	Cost
0	89	725
1	226	691
2	772	661
3	3361	647
done	5001	647

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* t 2.0))
0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
8×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `associate-/l*` `add-log-exp`
3×	`div-inv` `distribute-lft-out` `distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 44

Calls

2 calls:

45.0ms	(/ (+ x y) (* t 2.0))
118.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (+ x y) (* t 2.0))
88.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify3.0s

Counts

50 → 50

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	100	707
1	269	669
2	896	605
3	3910	601
done	5001	601

prune294.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))
0.3b	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
0.6b	(sqrt (/ (- (+ x y) z) (* t 2.0)))
0.6b	(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite659.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
78×	`sqrt-prod`
54×	`times-frac`
52×	`add-sqr-sqrt`
24×	`distribute-lft-out--`
22×	`add-cube-cbrt`
21×	`pow1` `swap-sqr`
13×	`associate-r` `associate-l`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
8×	`difference-of-squares`
7×	`div-inv`
6×	`sqrt-div` `associate-/l*`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `associate-l/` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `flip--`

Counts

4 → 151

Calls

4 calls:

149.0ms	(/ (- (+ x y) z) (* t 2.0))
338.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
86.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
71.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (- (+ x y) z) (* t 2.0))
284.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
205.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
217.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify1.8s

Counts

163 → 163

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	181	3072
1	435	2248
2	2257	2057
done	5000	2018

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes839.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	13	13
done	13	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

689.0ms

10870×

body

valid