Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	237×	body	80	valid
1.0ms	10×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

simplify34.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	58	9
3	137	9
4	195	9
5	201	9
6	207	9
7	241	9
8	276	9
9	304	9
10	377	9
11	542	9
12	1118	9
13	3784	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ z x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

12.0ms

(+ (* 2 (+ x y)) (+ z x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 2 (+ x y)) (+ z x))

simplify1.3s

Counts

22 → 22

Iterations

Useful iterations: 3 (347.0ms)

Iter	Nodes	Cost
0	77	433
1	274	406
2	1038	388
3	4747	380
done	5000	380

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 2) (+ (* 2 y) (+ z x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

22.0ms

(+ (* x 2) (+ (* 2 y) (+ z x)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (* x 2) (+ (* 2 y) (+ z x)))

simplify780.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (177.0ms)

Iter	Nodes	Cost
0	43	280
1	136	262
2	507	212
3	2464	210
done	5001	210

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ (* 2 y) (+ z x)) 3)
3.3b	(+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3))
11.3b	(+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))
44.3b	(/ (+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3)) (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x)))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3-+` `sum-cubes` `flip-+` `distribute-lft-out` `associate-/l*`
3×	`unpow-prod-down` `pow-unpow` `cube-prod` `associate-/r*`
2×	`+-commutative` `cube-div` `associate-+r+` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `unpow3` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

14.0ms	(pow (+ (* 2 y) (+ z x)) 3)
47.0ms	(+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3))
8.0ms	(+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))
156.0ms	(/ (+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3)) (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x)))))

series764.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (+ (* 2 y) (+ z x)) 3)
393.0ms	(+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3))
67.0ms	(+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))
156.0ms	(/ (+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3)) (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x)))))

simplify1.2s

Counts

102 → 102

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	196	3833
1	601	3639
2	2892	3331
done	5001	3331

prune371.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x)))))
3.3b	(+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3))
11.3b	(+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))
44.3b	(* (+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3)) (/ 1 (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

14.0ms	(/ 1 (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x)))))
47.0ms	(+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3))
8.0ms	(+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))
223.0ms	(* (+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3)) (/ 1 (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))))

series680.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ 1 (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x)))))
367.0ms	(+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3))
70.0ms	(+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))
157.0ms	(* (+ (pow (* x 2) 3) (pow (+ (* 2 y) (+ z x)) 3)) (/ 1 (+ (* (* x x) 4) (* (+ (* 2 y) (+ z x)) (+ (* 2 (- y x)) (+ z x))))))

simplify971.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	184	4460
1	552	4214
2	2561	3725
done	5001	3725

prune388.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
done	14	11

end0.0ms

sample377.0ms

Algorithm

intervals

Results

167.0ms	7371×	body	80	valid
22.0ms	197×	body	1280	valid
15.0ms	200×	body	640	valid
8.0ms	131×	body	320	valid
4.0ms	37×	body	2560	valid
3.0ms	69×	body	160	valid