Details

sample63.0ms

Algorithm

intervals

Results

7.0ms	83×	body	1280	valid
4.0ms	141×	body	80	valid
3.0ms	52×	body	640	valid
2.0ms	34×	body	320	valid
0.0ms	13×	body	160	valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	3778
8	1497
7	742
6	524
5	391
4	239
3	108
2	37
1	14
0	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.5b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1`
6×	`flip3-+` `swap-sqr` `add-cube-cbrt` `flip-+` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate--l+` `associate-r/` `insert-posit16`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

42.0ms	(* (+ x 1.0) (+ x 1.0))
30.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series97.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (+ x 1.0) (+ x 1.0))
78.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify4.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5004
3	4368
2	870
1	268
0	88

prune293.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2.0 x) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

10.0ms

(+ (* 2.0 x) (* x x))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(+ (* 2.0 x) (* x x))

simplify2.4s

Counts

16 → 16

Iterations

Iter	Nodes
done	5007
3	1887
2	399
1	105
0	31

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ x 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

26.0ms

(* x (+ x 2.0))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* x (+ x 2.0))

simplify4.8s

Counts

27 → 27

Iterations

Iter	Nodes
done	5028
3	3676
2	532
1	139
0	45

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (* x x) (* x x))
4.0b	(- (* (* x x) (* x x)) (* (* 2.0 x) (- (* x x) (* 2.0 x))))
41.1b	(/ (* (+ (* x (* x x)) (* (* 2.0 2.0) 2.0)) (* x (* x x))) (- (* (* x x) (* x x)) (* (* 2.0 x) (- (* x x) (* 2.0 x)))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

129×	`pow1`
41×	`pow-prod-up`
35×	`add-cbrt-cube` `add-exp-log`
26×	`pow-prod-down`
23×	`pow-sqr`
19×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`pow2`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-l` `insert-posit16` `associate--r+`
3×	`associate-/r*` `sub-neg` `times-frac`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r` `associate-l/` `associate-/r/` `-commutative` `flip--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `diff-log` `cube-unmult` `swap-sqr` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 136

Calls

4 calls:

20.0ms	(* x (* x x))
35.0ms	(* (* x x) (* x x))
41.0ms	(- (* (* x x) (* x x)) (* (* 2.0 x) (- (* x x) (* 2.0 x))))
150.0ms	(/ (* (+ (* x (* x x)) (* (* 2.0 2.0) 2.0)) (* x (* x x))) (- (* (* x x) (* x x)) (* (* 2.0 x) (- (* x x) (* 2.0 x)))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (* x x))
38.0ms	(* (* x x) (* x x))
39.0ms	(- (* (* x x) (* x x)) (* (* 2.0 x) (- (* x x) (* 2.0 x))))
301.0ms	(/ (* (+ (* x (* x x)) (* (* 2.0 2.0) 2.0)) (* x (* x x))) (- (* (* x x) (* x x)) (* (* 2.0 x) (- (* x x) (* 2.0 x)))))

simplify2.8s

Counts

148 → 148

Iterations

Iter	Nodes
done	5002
2	2229
1	513
0	161

prune460.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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
done	7
1	7
0	5

end0.0ms

sample734.0ms

Algorithm

intervals

Results

250.0ms	2278×	body	1280	valid
147.0ms	1648×	body	640	valid
119.0ms	5528×	body	80	valid
42.0ms	831×	body	320	valid
13.0ms	405×	body	160	valid