Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify857.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	1183
6	419
5	157
4	80
3	43
2	26
1	13
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

25.0ms	(+ (* x (* x x)) (* x x))
13.0ms	(* x (* x x))

series148.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* x (* x x)) (* x x))
49.0ms	(* x (* x x))

simplify494.0ms

Counts

45 → 45

Iterations

Iter	Nodes
done	2001
2	508
1	155
0	59

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

19.0ms

(* x (+ (* x x) x))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* x (+ (* x x) x))

simplify474.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2001
2	741
1	159
0	45

prune73.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
29.7b	(cbrt (+ (* x (* x x)) (* x x)))
29.7b	(cbrt (+ (* x (* x x)) (* x x)))
29.7b	(cbrt (+ (* x (* x x)) (* x x)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-lft1-in` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

115.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
11.0ms	(cbrt (+ (* x (* x x)) (* x x)))
22.0ms	(cbrt (+ (* x (* x x)) (* x x)))
18.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
52.0ms	(cbrt (+ (* x (* x x)) (* x x)))
65.0ms	(cbrt (+ (* x (* x x)) (* x x)))
57.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify583.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2000
2	986
1	352
0	143

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.2b	(* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)))
20.5b	(cbrt (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1`
33×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`cbrt-div`
16×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
14×	`add-sqr-sqrt`
11×	`associate-l` `pow-prod-up`
10×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
7×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`swap-sqr`
4×	`distribute-lft1-in` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`pow2` `pow-plus` `pow-sqr` `*-commutative` `unswap-sqr`
2×	`cube-unmult`
1×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 129

Calls

4 calls:

25.0ms	(* x (* x x))
13.0ms	(* x (* x x))
106.0ms	(* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)))
195.0ms	(cbrt (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (* x x))
55.0ms	(* x (* x x))
42.0ms	(* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)))
117.0ms	(cbrt (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))))

simplify769.0ms

Counts

141 → 141

Iterations

Iter	Nodes
done	2002
1	626
0	186

prune353.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample756.0ms

Algorithm

intervals

Results

425.0ms	8000×	body	80	valid
216.0ms	8000×	pre	80	true