Details

sample140.0ms

Algorithm

intervals

Results

32.0ms	106×	body	160	valid
28.0ms	98×	body	320	valid
25.0ms	529×	pre	80	true
25.0ms	273×	body	80	nan
7.0ms	19×	body	640	valid
3.0ms	33×	body	80	valid

simplify97.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.1b

localize32.0ms

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))
0.2b	(* (* 3 a) c)
28.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite148.0ms

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:

9.0ms	(- (* b b) (* (* 3 a) c))
74.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
26.0ms	(* (* 3 a) c)
36.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series361.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* b b) (* (* 3 a) c))
145.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.0ms	(* (* 3 a) c)
123.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.1s

Counts

91 → 91

Iterations

Iter	Nodes
3	6196
2	1498
1	421
0	158

prune796.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

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
1	0
0	0

prune34.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.5b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

22.0ms	(* -3/2 (/ (* a c) b))
9.0ms	(/ (* a c) b)
18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series81.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* -3/2 (/ (* a c) b))
22.0ms	(/ (* a c) b)
29.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.0s

Counts

90 → 90

Iterations

Iter	Nodes
3	15243
2	1834
1	363
0	126

prune591.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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-l`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-r` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

16.0ms	(* (/ (* a c) b) -3/2)
20.0ms	(/ (* a c) b)
37.0ms	(/ (* (/ (* a c) b) -3/2) (* 3 a))

series81.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (/ (* a c) b) -3/2)
21.0ms	(/ (* a c) b)
21.0ms	(/ (* (/ (* a c) b) -3/2) (* 3 a))

simplify26.2s

Counts

90 → 90

Iterations

Iter	Nodes
3	15820
2	1913
1	375
0	129

prune417.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.4b

regimes488.0ms

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
2	6
1	6
0	5

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.6s	3619×	body	320	valid
958.0ms	8008×	body	80	nan
952.0ms	16008×	pre	80	true
797.0ms	2984×	body	160	valid
249.0ms	530×	body	640	valid
93.0ms	867×	body	80	valid