Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

305×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	21	7
3	28	7
4	32	7
5	38	7
6	44	7
done	44	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

2.0ms	(+ x (* y (+ z x)))
9.0ms	(* y (+ z x))

series53.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (+ z x)))
24.0ms	(* y (+ z x))

simplify875.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	67	376
1	196	348
2	567	318
3	1897	318
done	5001	318

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ x (+ (* y z) (* x y)))
3.0ms	(+ (* y z) (* x y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (+ (* y z) (* x y)))
27.0ms	(+ (* y z) (* x y))

simplify833.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (199.0ms)

Iter	Nodes	Cost
0	52	400
1	174	300
2	579	280
3	2169	278
done	5000	278

prune61.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z x))
0.0b	(sqrt (+ z x))
0.1b	(* y (sqrt (+ z x)))
0.2b	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

4.0ms	(sqrt (+ z x))
4.0ms	(sqrt (+ z x))
14.0ms	(* y (sqrt (+ z x)))
24.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ z x))
35.0ms	(sqrt (+ z x))
63.0ms	(* y (sqrt (+ z x)))
46.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	139	1211
1	364	979
2	1210	881
3	3744	849
done	5001	843

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* z z) (* x (- x z)))
2.8b	(+ (pow z 3) (pow x 3))
6.6b	(* (+ (pow z 3) (pow x 3)) y)
31.6b	(/ (* (+ (pow z 3) (pow x 3)) y) (+ (* z z) (* x (- x z))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(+ (* z z) (* x (- x z)))
14.0ms	(+ (pow z 3) (pow x 3))
52.0ms	(* (+ (pow z 3) (pow x 3)) y)
22.0ms	(/ (* (+ (pow z 3) (pow x 3)) y) (+ (* z z) (* x (- x z))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* z z) (* x (- x z)))
49.0ms	(+ (pow z 3) (pow x 3))
52.0ms	(* (+ (pow z 3) (pow x 3)) y)
74.0ms	(/ (* (+ (pow z 3) (pow x 3)) y) (+ (* z z) (* x (- x z))))

simplify645.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	127	1490
1	355	1412
2	1869	1224
done	5000	1224

prune246.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes91.0ms

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	9
1	11	9
done	11	9

end0.0ms

sample400.0ms

Algorithm

intervals

Results

196.0ms

10100×

body

valid