Details

sample36.0ms

Algorithm

intervals

Results

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

simplify275.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite554.0ms

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-+`

Counts

3 → 51

Calls

3 calls:

23.0ms	(+ (+ e d) c)
433.0ms	(+ (+ (+ (+ e d) c) b) a)
95.0ms	(+ (+ (+ e d) c) b)

series135.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (+ e d) c)
71.0ms	(+ (+ (+ (+ e d) c) b) a)
38.0ms	(+ (+ (+ e d) c) b)

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	5006
2	1043
1	226
0	83

prune350.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite148.0ms

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`
1×	`associate-+r+`

Counts

2 → 43

Calls

2 calls:

21.0ms	(+ (+ e d) c)
125.0ms	(+ (+ (+ e d) c) (+ b a))

series90.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (+ e d) c)
66.0ms	(+ (+ (+ e d) c) (+ b a))

simplify1.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5003
2	1518
1	289
0	93

prune350.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ e (+ c d))
396.0ms	(+ (+ (+ e (+ c d)) b) a)
82.0ms	(+ (+ e (+ c d)) b)

series146.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ e (+ c d))
80.0ms	(+ (+ (+ e (+ c d)) b) a)
41.0ms	(+ (+ e (+ c d)) b)

simplify1.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5002
2	867
1	228
0	81

prune298.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (+ (* (* (+ c (+ e d)) (+ c (+ e d))) (+ c (+ e d))) (* b (* b b))) (+ (* (- b (+ c (+ e d))) b) (* (+ c (+ e d)) (+ c (+ e d)))))
0.4b	(* (* (+ c (+ e d)) (+ c (+ e d))) (+ c (+ e d)))
0.5b	(* (+ c (+ e d)) (+ c (+ e d)))
0.5b	(* (+ c (+ e d)) (+ c (+ e d)))

rewrite905.0ms

Algorithm

rewrite-expression-head

Rules

115×	`*-un-lft-identity`
53×	`flip3-+` `flip-+`
51×	`distribute-lft-out`
44×	`frac-times`
38×	`associate-*l/`
37×	`pow1`
27×	`add-sqr-sqrt`
22×	`swap-sqr` `add-cube-cbrt`
18×	`associate-/r/`
16×	`frac-add` `associate-*r/`
15×	`add-cbrt-cube` `associate-r` `add-exp-log`
12×	`times-frac`
11×	`associate-l`
8×	`pow-plus` `flip3--` `pow-prod-up` `flip--`
5×	`pow3` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`pow2` `cube-unmult` `pow-sqr` `sum-cubes` `associate-/l*` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `-commutative` `unswap-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 203

Calls

4 calls:

547.0ms	(/ (+ (* (* (+ c (+ e d)) (+ c (+ e d))) (+ c (+ e d))) (* b (* b b))) (+ (* (- b (+ c (+ e d))) b) (* (+ c (+ e d)) (+ c (+ e d)))))
139.0ms	(* (* (+ c (+ e d)) (+ c (+ e d))) (+ c (+ e d)))
92.0ms	(* (+ c (+ e d)) (+ c (+ e d)))
108.0ms	(* (+ c (+ e d)) (+ c (+ e d)))

series814.0ms

Counts

4 → 12

Calls

4 calls:

516.0ms	(/ (+ (* (* (+ c (+ e d)) (+ c (+ e d))) (+ c (+ e d))) (* b (* b b))) (+ (* (- b (+ c (+ e d))) b) (* (+ c (+ e d)) (+ c (+ e d)))))
172.0ms	(* (* (+ c (+ e d)) (+ c (+ e d))) (+ c (+ e d)))
55.0ms	(* (+ c (+ e d)) (+ c (+ e d)))
71.0ms	(* (+ c (+ e d)) (+ c (+ e d)))

simplify2.8s

Counts

215 → 215

Iterations

Iter	Nodes
done	5005
2	4673
1	1043
0	290

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes702.0ms

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
done	13
1	13
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

619.0ms	8000×	body	80	valid
248.0ms	8000×	pre	80	true