Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify217.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	315
5	315
4	265
3	144
2	55
1	19
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ e d) c) b)
0.2b	(+ (+ (+ (+ e d) c) b) a)

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

19.0ms	(+ (+ e d) c)
78.0ms	(+ (+ (+ e d) c) b)
382.0ms	(+ (+ (+ (+ e d) c) b) a)

series113.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (+ e d) c)
33.0ms	(+ (+ (+ e d) c) b)
60.0ms	(+ (+ (+ (+ e d) c) b) a)

simplify1.5s

Counts

63 → 63

Iterations

Iter	Nodes
3	6316
2	952
1	227
0	86

prune548.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) c)
0.3b	(+ (+ (+ e d) c) (+ b a))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`associate-+r+`

Counts

2 → 45

Calls

2 calls:

26.0ms	(+ (+ e d) c)
113.0ms	(+ (+ (+ e d) c) (+ b a))

series83.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (+ e d) c)
63.0ms	(+ (+ (+ e d) c) (+ b a))

simplify2.4s

Counts

51 → 51

Iterations

Iter	Nodes
3	9720
2	1429
1	290
0	95

prune422.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ c (+ b a))
0.2b	(+ (+ e d) (+ c (+ b a)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`associate-+l+`

Counts

2 → 45

Calls

2 calls:

11.0ms	(+ c (+ b a))
45.0ms	(+ (+ e d) (+ c (+ b a)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ c (+ b a))
58.0ms	(+ (+ e d) (+ c (+ b a)))

simplify1.7s

Counts

51 → 51

Iterations

Iter	Nodes
3	8527
2	1300
1	296
0	95

prune394.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* (* (- c (+ a b)) (- e d)) (+ (+ e d) (+ c (+ a b)))) (* (- c (+ a b)) (- e d)))
0.4b	(* (* (- c (+ a b)) (- e d)) (+ (+ e d) (+ c (+ a b))))
1.0b	(- c (+ a b))
1.0b	(- c (+ a b))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

156×	`frac-times`
92×	`flip3--` `flip--`
90×	`flip3-+` `flip-+`
72×	`frac-add`
62×	`associate-/l/`
46×	`associate-*l/`
42×	`associate-*r/`
36×	`*-un-lft-identity`
30×	`add-cbrt-cube` `add-exp-log`
17×	`distribute-lft-out`
14×	`add-log-exp`
12×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow1` `associate-r`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`add-cube-cbrt`
4×	`diff-log` `insert-posit16` `distribute-lft-out--`
3×	`pow-prod-down`
2×	`sum-log` `sub-neg` `associate--r+` `difference-of-squares`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 221

Calls

4 calls:

170.0ms	(/ (* (* (- c (+ a b)) (- e d)) (+ (+ e d) (+ c (+ a b)))) (* (- c (+ a b)) (- e d)))
209.0ms	(* (* (- c (+ a b)) (- e d)) (+ (+ e d) (+ c (+ a b))))
14.0ms	(- c (+ a b))
14.0ms	(- c (+ a b))

series758.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* (* (- c (+ a b)) (- e d)) (+ (+ e d) (+ c (+ a b)))) (* (- c (+ a b)) (- e d)))
607.0ms	(* (* (- c (+ a b)) (- e d)) (+ (+ e d) (+ c (+ a b))))
22.0ms	(- c (+ a b))
27.0ms	(- c (+ a b))

simplify5.5s

Counts

233 → 233

Iterations

Iter	Nodes
2	13372
1	1737
0	351

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	13
1	13
0	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

487.0ms	8000×	pre	80	true
321.0ms	8000×	body	80	valid