Details

sample551.0ms

Algorithm

intervals

Results

191.0ms	259×	body	80	nan
59.0ms	101×	body	160	valid
38.0ms	115×	body	320	valid
24.0ms	515×	pre	80	true
4.0ms	10×	body	640	valid
3.0ms	30×	body	80	valid

simplify74.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	111
5	111
4	102
3	78
2	44
1	24
0	14

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
0.1b	(- (* b b) (* (* c a) 4.0))
27.5b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`cbrt-undiv` `associate-/r*` `flip3--` `div-exp` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 149

Calls

4 calls:

8.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
66.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
7.0ms	(- (* b b) (* (* c a) 4.0))
48.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series345.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
110.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
52.0ms	(- (* b b) (* (* c a) 4.0))
103.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.1s

Counts

161 → 161

Iterations

Iter	Nodes
done	5001
2	3070
1	693
0	280

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.7b

localize13.0ms

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

prune100.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

27.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
8.0ms	(/ (* a c) b)

series79.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
36.0ms	(/ (* a c) b)

simplify1.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	3008
1	464
0	167

prune620.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* c c) c)
0.3b	(/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))
0.3b	(* (* (* a a) a) (* (* c c) c))
0.7b	(cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-cbrt-cube` `add-exp-log`
147×	`pow1`
141×	`prod-exp` `cbrt-unprod`
55×	`pow-prod-down`
46×	`pow-plus` `pow-prod-up`
30×	`cbrt-undiv` `div-exp`
10×	`pow2` `pow-sqr`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-prod`
4×	`associate-r` `add-log-exp`
3×	`pow3`
2×	`times-frac` `associate-l` `*-commutative` `div-inv`
1×	`cbrt-div` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `associate-/l` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

16.0ms	(* (* c c) c)
117.0ms	(/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))
125.0ms	(* (* (* a a) a) (* (* c c) c))
103.0ms	(cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* c c) c)
162.0ms	(/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))
117.0ms	(* (* (* a a) a) (* (* c c) c))
38.0ms	(cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))

simplify1.3s

Counts

189 → 189

Iterations

Iter	Nodes
done	5001
1	619
0	166

prune532.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

regimes743.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.7s	3639×	body	320	valid
712.0ms	16315×	pre	80	true
705.0ms	8315×	body	80	nan
541.0ms	2975×	body	160	valid
175.0ms	493×	body	640	valid
96.0ms	893×	body	80	valid