Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

324×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	39	7
5	96	7
6	220	7
7	607	7
8	2030	7
done	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
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` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

22.0ms	(+ x (/ (- y x) z))
26.0ms	(/ (- y x) z)

series85.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (/ (- y x) z))
46.0ms	(/ (- y x) z)

simplify503.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	94	588
1	230	544
2	918	520
done	5001	520

prune244.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

137.0ms	(- (+ x (/ y z)) (/ x z))
15.0ms	(+ x (/ y z))

series49.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (+ x (/ y z)) (/ x z))
20.0ms	(+ x (/ y z))

simplify1.1s

Counts

38 → 38

Iterations

Useful iterations: 3 (402.0ms)

Iter	Nodes	Cost
0	65	506
1	164	476
2	512	458
3	1921	450
done	5000	450

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y y) (* x x)) (* z (+ y x))))
0.0b	(* z (+ y x))
2.0b	(- (* y y) (* x x))
27.4b	(/ (- (* y y) (* x x)) (* z (+ y x)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

46.0ms	(+ x (/ (- (* y y) (* x x)) (* z (+ y x))))
47.0ms	(* z (+ y x))
8.0ms	(- (* y y) (* x x))
29.0ms	(/ (- (* y y) (* x x)) (* z (+ y x)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ x (/ (- (* y y) (* x x)) (* z (+ y x))))
37.0ms	(* z (+ y x))
48.0ms	(- (* y y) (* x x))
86.0ms	(/ (- (* y y) (* x x)) (* z (+ y x)))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: 2 (478.0ms)

Iter	Nodes	Cost
0	129	1256
1	421	1198
2	2684	1062
done	5001	1062

prune437.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ y x))
0.3b	(/ 1 (* z (+ y x)))
2.0b	(- (* y y) (* x x))
27.4b	(* (- (* y y) (* x x)) (/ 1 (* z (+ y x))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

32.0ms	(* z (+ y x))
22.0ms	(/ 1 (* z (+ y x)))
8.0ms	(- (* y y) (* x x))
74.0ms	(* (- (* y y) (* x x)) (/ 1 (* z (+ y x))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* z (+ y x))
36.0ms	(/ 1 (* z (+ y x)))
36.0ms	(- (* y y) (* x x))
82.0ms	(* (- (* y y) (* x x)) (/ 1 (* z (+ y x))))

simplify2.0s

Counts

117 → 117

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	147	1468
1	443	1375
2	2892	1113
done	5000	1109

prune481.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

325.0ms

10121×

body

valid