Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify87.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

34.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify994.0ms

Counts

44 → 44

Iterations

Iter	Nodes
3	3452
2	776
1	218
0	63

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

28.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify679.0ms

Counts

15 → 15

Iterations

Iter	Nodes
3	2371
2	499
1	107
0	33

prune80.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b (* 2 a)) (* a a))
0.4b	(* (* (+ (* 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)))
0.6b	(cbrt (* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a))))

rewrite435.0ms

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:

20.0ms	(+ (* b (* 2 a)) (* a a))
202.0ms	(* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a)))
94.0ms	(* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a)))
115.0ms	(cbrt (* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* b (* 2 a)) (* a a))
40.0ms	(* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a)))
26.0ms	(* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a)))
65.0ms	(cbrt (* (* (+ (* b (* 2 a)) (* a a)) (+ (* b (* 2 a)) (* a a))) (+ (* b (* 2 a)) (* a a))))

simplify904.0ms

Counts

154 → 154

Iterations

Iter	Nodes
2	3281
1	691
0	199

prune977.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* b (* 2 a)) (* a a))
0.6b	(cbrt (pow (+ (* b (* 2 a)) (* a a)) 3))
0.8b	(pow (+ (* b (* 2 a)) (* a a)) 3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`cube-div` `pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow-unpow` `flip3-+` `flip-+` `insert-posit16`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 62

Calls

3 calls:

24.0ms	(+ (* b (* 2 a)) (* a a))
29.0ms	(cbrt (pow (+ (* b (* 2 a)) (* a a)) 3))
22.0ms	(pow (+ (* b (* 2 a)) (* a a)) 3)

series180.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* b (* 2 a)) (* a a))
69.0ms	(cbrt (pow (+ (* b (* 2 a)) (* a a)) 3))
51.0ms	(pow (+ (* b (* 2 a)) (* a a)) 3)

simplify3.8s

Counts

71 → 71

Iterations

Iter	Nodes
3	6997
2	1251
1	289
0	101

prune513.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	9

end0.0ms

sample961.0ms

Algorithm

intervals

Results

425.0ms	8000×	body	80	valid
367.0ms	8000×	pre	80	true