Details

sample25.0ms

Algorithm

intervals

Results

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

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	92
6	92
5	86
4	72
3	53
2	25
1	11
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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:

31.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify795.0ms

Counts

44 → 44

Iterations

Iter	Nodes
3	3412
2	772
1	219
0	63

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

15.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify599.0ms

Counts

15 → 15

Iterations

Iter	Nodes
3	2365
2	501
1	107
0	33

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
12×	`sqrt-div`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-pow1` `flip3-+` `pow1/2` `swap-sqr` `flip-+`
7×	`add-log-exp`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `insert-posit16`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 82

Calls

3 calls:

22.0ms	(+ (* b (* 2 a)) (* a a))
19.0ms	(+ (* b (* 2 a)) (* a a))
112.0ms	(* (sqrt (+ (* b (* 2 a)) (* a a))) (sqrt (+ (* b (* 2 a)) (* a a))))

series183.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* b (* 2 a)) (* a a))
63.0ms	(+ (* b (* 2 a)) (* a a))
58.0ms	(* (sqrt (+ (* b (* 2 a)) (* a a))) (sqrt (+ (* b (* 2 a)) (* a a))))

simplify897.0ms

Counts

91 → 91

Iterations

Iter	Nodes
3	2753
2	696
1	220
0	93

prune681.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- a b) (+ (* a a) (- (* b b) (* a b))))
0.3b	(* a (* a a))
0.3b	(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
0.3b	(/ (* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a)))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
22×	`pow1`
16×	`add-sqr-sqrt` `frac-times`
12×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
11×	`*-un-lft-identity`
9×	`prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`associate-r` `associate-l/` `associate-r/` `associate-/r/` `associate-/l/`
5×	`pow-prod-down` `pow-prod-up`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`cube-unmult` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `sum-cubes` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 125

Calls

4 calls:

77.0ms	(* (- a b) (+ (* a a) (- (* b b) (* a b))))
19.0ms	(* a (* a a))
102.0ms	(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
62.0ms	(/ (* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a)))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- a b) (+ (* a a) (- (* b b) (* a b))))
41.0ms	(* a (* a a))
97.0ms	(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
98.0ms	(/ (* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a)))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))))

simplify1.7s

Counts

137 → 137

Iterations

Iter	Nodes
2	5055
1	845
0	235

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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

sample1.0s

Algorithm

intervals

Results

460.0ms	8000×	pre	80	true
369.0ms	8000×	body	80	valid