Details

sample38.0ms

Algorithm

intervals

Results

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

simplify516.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	565
7	565
6	558
5	483
4	348
3	169
2	58
1	19
0	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite134.0ms

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`
1×	`associate-+l+`

Counts

2 → 43

Calls

2 calls:

14.0ms	(+ c (+ d e))
119.0ms	(+ (+ c (+ d e)) (+ b a))

series100.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ c (+ d e))
82.0ms	(+ (+ c (+ d e)) (+ b a))

simplify687.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1569
1	310
0	92

prune236.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite152.0ms

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`
1×	`associate-+l+`

Counts

2 → 43

Calls

2 calls:

124.0ms	(+ (+ a (+ b e)) (+ c d))
25.0ms	(+ a (+ b e))

series114.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(+ (+ a (+ b e)) (+ c d))
18.0ms	(+ a (+ b e))

simplify797.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5002
2	1734
1	315
0	93

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (sqrt (+ b (+ a e))) (sqrt (+ b (+ a e)))) (+ c d))
0.3b	(+ b (+ a e))
0.3b	(+ b (+ a e))
0.6b	(* (sqrt (+ b (+ a e))) (sqrt (+ b (+ a e))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
38×	`sqrt-prod`
36×	`sqrt-div`
30×	`distribute-lft-out`
29×	`flip3-+` `flip-+`
24×	`add-sqr-sqrt`
19×	`pow1` `add-log-exp`
16×	`swap-sqr` `frac-add`
12×	`frac-times` `add-cube-cbrt`
9×	`sum-log`
8×	`sqrt-pow1` `pow1/2` `associate-r` `associate-l`
6×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`+-commutative` `associate-+r+` `pow-prod-down` `pow-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

51.0ms	(+ (* (sqrt (+ b (+ a e))) (sqrt (+ b (+ a e)))) (+ c d))
13.0ms	(+ b (+ a e))
13.0ms	(+ b (+ a e))
154.0ms	(* (sqrt (+ b (+ a e))) (sqrt (+ b (+ a e))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (* (sqrt (+ b (+ a e))) (sqrt (+ b (+ a e)))) (+ c d))
17.0ms	(+ b (+ a e))
20.0ms	(+ b (+ a e))
68.0ms	(* (sqrt (+ b (+ a e))) (sqrt (+ b (+ a e))))

simplify1.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5003
2	3879
1	648
0	201

prune733.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (- b e) a)
0.3b	(/ (+ (* (+ a (+ b e)) (* (- (- b e) a) (- c d))) (* (- (- b e) a) (* (- c d) (+ d c)))) (* (- (- b e) a) (- c d)))
0.4b	(* (+ a (+ b e)) (* (- (- b e) a) (- c d)))
0.4b	(* (- (- b e) a) (* (- c d) (+ d c)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

1516×	`frac-times`
979×	`flip3--` `flip--`
758×	`associate-*r/`
678×	`associate-/l/`
676×	`frac-add`
487×	`flip3-+` `flip-+`
434×	`associate-*l/`
23×	`*-un-lft-identity`
19×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
12×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
11×	`associate-l`
9×	`add-log-exp`
8×	`associate-/r/` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `pow-prod-down` `distribute-lft-out--`
3×	`times-frac` `diff-log` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-r` `associate--l+` `*-commutative` `difference-of-squares`
1×	`associate--l-` `clear-num` `associate-/r*` `frac-2neg` `div-inv`

Counts

4 → 831

Calls

4 calls:

29.0ms	(- (- b e) a)
652.0ms	(/ (+ (* (+ a (+ b e)) (* (- (- b e) a) (- c d))) (* (- (- b e) a) (* (- c d) (+ d c)))) (* (- (- b e) a) (- c d)))
257.0ms	(* (+ a (+ b e)) (* (- (- b e) a) (- c d)))
172.0ms	(* (- (- b e) a) (* (- c d) (+ d c)))

series20.2s

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (- b e) a)
19.2s	(/ (+ (* (+ a (+ b e)) (* (- (- b e) a) (- c d))) (* (- (- b e) a) (* (- c d) (+ d c)))) (* (- (- b e) a) (- c d)))
274.0ms	(* (+ a (+ b e)) (* (- (- b e) a) (- c d)))
735.0ms	(* (- (- b e) a) (* (- c d) (+ d c)))

simplify544.0ms

Counts

843 → 843

Iterations

Iter	Nodes
done	5001
0	1636

prune10.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
2	19
1	18
0	11

end0.0ms

sample849.0ms

Algorithm

intervals

Results

260.0ms	8000×	pre	80	true
186.0ms	8000×	body	80	valid