Details

sample138.0ms

Algorithm

intervals

Results

25.0ms	132×	body	320	valid
15.0ms	482×	pre	80	true
14.0ms	226×	body	80	nan
12.0ms	88×	body	160	valid
5.0ms	17×	body	640	valid
1.0ms	19×	body	80	valid

simplify290.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	94
7	94
6	93
5	91
4	83
3	68
2	39
1	21
0	12

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
27.1b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite275.0ms

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) (* (* 3.0 a) c))
135.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
44.0ms	(* (* 3.0 a) c)
83.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series524.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* b b) (* (* 3.0 a) c))
247.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
28.0ms	(* (* 3.0 a) c)
166.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1430
1	417
0	159

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize14.0ms

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

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite91.0ms

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:

23.0ms	(/ (* a c) b)
25.0ms	(* -1.5 (/ (* a c) b))
38.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series129.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (* a c) b)
49.0ms	(* -1.5 (/ (* a c) b))
36.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5054
2	2242
1	389
0	126

prune1.2s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.3b	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
0.4b	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

24.0ms	(/ (* a c) b)
24.0ms	(/ (* a c) b)
126.0ms	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
172.0ms	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

series368.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* a c) b)
46.0ms	(/ (* a c) b)
163.0ms	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
104.0ms	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

simplify3.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5021
2	2379
1	416
0	142

prune1.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.0b

regimes1.8s

Accuracy

0% (3.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	3638×	body	320	valid
654.0ms	16100×	pre	80	true
608.0ms	8100×	body	80	nan
562.0ms	3008×	body	160	valid
160.0ms	487×	body	640	valid
59.0ms	867×	body	80	valid