Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify69.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	103
7	103
6	97
5	88
4	72
3	53
2	25
1	11
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 41

Calls

1 calls:

33.0ms

(* (+ a b) (+ a b))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* (+ a b) (+ a b))

simplify864.0ms

Counts

44 → 44

Iterations

Iter	Nodes
3	3452
2	776
1	218
0	63

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* b (* 2 a)) (* a a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

23.0ms

(+ (* b (* 2 a)) (* a a))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(+ (* b (* 2 a)) (* a a))

simplify588.0ms

Counts

15 → 15

Iterations

Iter	Nodes
3	2371
2	499
1	107
0	33

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b (* 2 a)) (* a a))
0.3b	(* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a)))
0.5b	(* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a)))
0.5b	(cbrt (* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a))))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 142

Calls

4 calls:

22.0ms	(+ (* b (* 2 a)) (* a a))
229.0ms	(* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a)))
104.0ms	(* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a)))
124.0ms	(cbrt (* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* b (* 2 a)) (* a a))
53.0ms	(* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a)))
30.0ms	(* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a)))
60.0ms	(cbrt (* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a))))

simplify1.0s

Counts

154 → 154

Iterations

Iter	Nodes
2	3281
1	691
0	199

prune445.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	9

end0.0ms

sample780.0ms

Algorithm

intervals

Results

328.0ms	8000×	body	80	valid
295.0ms	8000×	pre	80	true