Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

388×

body

valid

simplify71.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	32	9
3	57	9
4	69	9
5	70	9
done	70	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

9.0ms

(- (* x x) (* (* y 4.0) z))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(- (* x x) (* (* y 4.0) z))

simplify2.4s

Counts

15 → 15

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	35	220
1	111	213
2	514	185
3	3601	185
done	5001	185

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
1.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
1.7b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

8.0ms	(- (* x x) (* (* y 4.0) z))
59.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
9.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
12.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* x x) (* (* y 4.0) z))
69.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
90.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
102.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify897.0ms

Counts

111 → 111

Iterations

Useful iterations: done (893.0ms)

Iter	Nodes	Cost
0	106	2478
1	263	1793
2	1083	1577
done	5000	1538

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))
14.2b	(/ (sqrt (- (pow x 6) (pow (* (* y 4.0) z) 3))) (sqrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))) (pow x 4))))
20.2b	(sqrt (- (pow x 6) (pow (* (* y 4.0) z) 3)))
26.7b	(sqrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))) (pow x 4)))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
107×	`add-sqr-sqrt`
78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-cube-cbrt`
48×	`difference-of-squares`
40×	`sqr-pow`
16×	`unpow-prod-down`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
8×	`sqrt-div` `distribute-lft-out--`
6×	`pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
4×	`add-log-exp`
3×	`flip3-+` `associate-r` `flip-+`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 176

Calls

4 calls:

115.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))
244.0ms	(/ (sqrt (- (pow x 6) (pow (* (* y 4.0) z) 3))) (sqrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))) (pow x 4))))
21.0ms	(sqrt (- (pow x 6) (pow (* (* y 4.0) z) 3)))
130.0ms	(sqrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))) (pow x 4)))

series899.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))
179.0ms	(/ (sqrt (- (pow x 6) (pow (* (* y 4.0) z) 3))) (sqrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))) (pow x 4))))
120.0ms	(sqrt (- (pow x 6) (pow (* (* y 4.0) z) 3)))
525.0ms	(sqrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))) (pow x 4)))

simplify3.8s

Counts

188 → 188

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	313	8631
1	683	7809
2	4151	7607
done	5000	7604

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes355.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

535.0ms

12154×

body

valid