Details

sample88.0ms

Algorithm

intervals

Results

31.0ms	157×	body	160	valid
14.0ms	275×	body	80	nan
11.0ms	531×	pre	80	true
7.0ms	47×	body	320	valid
3.0ms	52×	body	80	valid

simplify104.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
7	98
6	97
5	95
4	87
3	72
2	42
1	24
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b	(- (* b b) (* (* c a) 4.0))
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
39.2b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 84

Calls

4 calls:

7.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
10.0ms	(- (* b b) (* (* c a) 4.0))
90.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
70.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series449.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
82.0ms	(- (* b b) (* (* c a) 4.0))
142.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
112.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1179
1	391
0	158

prune768.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.2b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune110.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (/ (* a c) b)) a)
0.3b	(/ (* a c) b)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 47

Calls

2 calls:

30.0ms	(/ (* -2.0 (/ (* a c) b)) a)
15.0ms	(/ (* a c) b)

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (* -2.0 (/ (* a c) b)) a)
39.0ms	(/ (* a c) b)

simplify1.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5022
2	1485
1	274
0	97

prune475.0ms

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 5.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* -2.0 -2.0) (* (/ b c) (* (/ b c) (/ b c))))
0.4b	(* (/ b c) (* (/ b c) (/ b c)))
0.6b	(* (/ b c) (/ b c))
0.6b	(cbrt (* (/ -2.0 (/ (* a (* a a)) (* a (* a a)))) (/ (* -2.0 -2.0) (* (/ b c) (* (/ b c) (/ b c))))))

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

174×	`add-cbrt-cube` `add-exp-log`
69×	`prod-exp` `cbrt-unprod`
65×	`cbrt-undiv` `div-exp`
54×	`add-sqr-sqrt`
51×	`times-frac`
39×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
25×	`pow1`
14×	`associate-r`
13×	`swap-sqr`
12×	`frac-times` `associate-*r/`
8×	`associate-*l/`
7×	`associate-/r/`
6×	`pow-prod-up` `div-inv` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`cbrt-div`
2×	`pow2` `pow-plus` `pow-sqr` `*-commutative`
1×	`cbrt-prod` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `cube-unmult` `associate-/l`

Counts

4 → 201

Calls

4 calls:

33.0ms	(/ (* -2.0 -2.0) (* (/ b c) (* (/ b c) (/ b c))))
46.0ms	(* (/ b c) (* (/ b c) (/ b c)))
35.0ms	(* (/ b c) (/ b c))
236.0ms	(cbrt (* (/ -2.0 (/ (* a (* a a)) (* a (* a a)))) (/ (* -2.0 -2.0) (* (/ b c) (* (/ b c) (/ b c))))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (* -2.0 -2.0) (* (/ b c) (* (/ b c) (/ b c))))
63.0ms	(* (/ b c) (* (/ b c) (/ b c)))
51.0ms	(* (/ b c) (/ b c))
123.0ms	(cbrt (* (/ -2.0 (/ (* a (* a a)) (* a (* a a)))) (/ (* -2.0 -2.0) (* (/ b c) (* (/ b c) (/ b c))))))

simplify3.8s

Counts

213 → 213

Iterations

Iter	Nodes
done	5000
2	4922
1	943
0	270

prune948.0ms

Pruning

31 alts after pruning (29 fresh and 2 done)

Merged error: 5.2b

regimes802.0ms

Accuracy

0% (6.7b remaining)

Error of 11.8b against oracle of 5.1b and baseline of 11.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.3s	4801×	body	160	valid
1.2s	16307×	pre	80	true
707.0ms	8307×	body	80	nan
389.0ms	1464×	body	320	valid
208.0ms	1735×	body	80	valid