Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4
done	988	4

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) (* t 2.0))

rewrite73.0ms

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:

71.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify67.0ms

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	198
1	740	169
2	3492	169
3	5001	169
done	5001	169

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))

rewrite595.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
26×	`times-frac`
25×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`distribute-lft-out`
10×	`associate-r` `distribute-lft-out--` `add-log-exp`
6×	`frac-sub`
5×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `associate--l+` `flip-+`
2×	`flip3--` `diff-log` `sum-log` `flip--` `div-inv`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

371.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
197.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
24.0ms	(+ (/ y t) (/ x t))

series76.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
23.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
18.0ms	(+ (/ y t) (/ x t))

simplify40.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	344	648
1	1396	598
2	5001	588
done	5001	588

prune166.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (- (/ (* t (+ y x)) (* t t)) (/ z t)))
0.0b	(* t (+ y x))
0.0b	(- (/ (* t (+ y x)) (* t t)) (/ z t))
23.7b	(/ (* t (+ y x)) (* t t))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

95.0ms	(* 0.5 (- (/ (* t (+ y x)) (* t t)) (/ z t)))
19.0ms	(* t (+ y x))
33.0ms	(- (/ (* t (+ y x)) (* t t)) (/ z t))
17.0ms	(/ (* t (+ y x)) (* t t))

series123.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 0.5 (- (/ (* t (+ y x)) (* t t)) (/ z t)))
30.0ms	(* t (+ y x))
27.0ms	(- (/ (* t (+ y x)) (* t t)) (/ z t))
25.0ms	(/ (* t (+ y x)) (* t t))

simplify65.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	450	717
1	2216	580
2	5001	579
done	5001	579

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (- (/ t (/ (* t t) (+ y x))) (/ z t)))
0.0b	(- (/ t (/ (* t t) (+ y x))) (/ z t))
8.6b	(/ (* t t) (+ y x))
14.1b	(/ t (/ (* t t) (+ y x)))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
67×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/r*`
12×	`difference-of-squares`
11×	`associate-r` `associate-/r/`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `div-inv` `distribute-lft-out` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/l*` `distribute-lft-out--`
3×	`sub-neg` `associate-r/` `associate-l*` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `frac-sub` `flip--`
1×	`diff-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

262.0ms	(* 0.5 (- (/ t (/ (* t t) (+ y x))) (/ z t)))
85.0ms	(- (/ t (/ (* t t) (+ y x))) (/ z t))
16.0ms	(/ (* t t) (+ y x))
17.0ms	(/ t (/ (* t t) (+ y x)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 0.5 (- (/ t (/ (* t t) (+ y x))) (/ z t)))
27.0ms	(- (/ t (/ (* t t) (+ y x))) (/ z t))
45.0ms	(/ (* t t) (+ y x))
37.0ms	(/ t (/ (* t t) (+ y x)))

simplify59.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	576	1199
1	2530	1084
2	5003	1044
done	5003	1044

prune310.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes153.0ms

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	13	6
1	13	6
done	13	6

end0.0ms

sample657.0ms

Algorithm

intervals

Results

269.0ms

10855×

body

valid