Details

sample97.0ms

Algorithm

intervals

Results

24.0ms	226×	body	80	nan
23.0ms	132×	body	320	valid
16.0ms	482×	pre	80	true
10.0ms	88×	body	160	valid
4.0ms	17×	body	640	valid
1.0ms	19×	body	80	valid

simplify147.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
27.1b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

10.0ms	(- (* b b) (* (* 3 a) c))
127.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
22.0ms	(* (* 3 a) c)
58.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series374.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* b b) (* (* 3 a) c))
175.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
35.0ms	(* (* 3 a) c)
94.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1457
1	423
0	158

prune500.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize6.0ms

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

prune34.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

10.0ms	(/ (* a c) b)
31.0ms	(* -3/2 (/ (* a c) b))
28.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series85.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* a c) b)
38.0ms	(* -3/2 (/ (* a c) b))
23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune408.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -3/2 (* a c))
0.4b	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
0.4b	(* (* -3/2 (* a c)) (/ 1 b))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-exp-log`
94×	`add-cbrt-cube`
88×	`prod-exp`
46×	`cbrt-unprod`
44×	`div-exp`
23×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`rec-exp` `1-exp` `pow-prod-down`
4×	`associate-l`
3×	`insert-posit16` `add-log-exp`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l`

Counts

3 → 121

Calls

3 calls:

24.0ms	(* -3/2 (* a c))
83.0ms	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
63.0ms	(* (* -3/2 (* a c)) (/ 1 b))

series86.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* -3/2 (* a c))
31.0ms	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
32.0ms	(* (* -3/2 (* a c)) (/ 1 b))

simplify1.8s

Counts

130 → 130

Iterations

Iter	Nodes
done	5072
2	3048
1	536
0	184

prune356.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.0b

regimes530.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.2s	16100×	pre	80	true
834.0ms	3638×	body	320	valid
748.0ms	8100×	body	80	nan
740.0ms	3008×	body	160	valid
188.0ms	487×	body	640	valid
63.0ms	867×	body	80	valid