Details

sample80.0ms

Algorithm

intervals

Results

16.0ms	145×	body	160	valid
14.0ms	275×	body	80	nan
13.0ms	531×	pre	80	true
7.0ms	48×	body	320	valid
3.0ms	63×	body	80	valid

simplify124.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
36.9b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite185.0ms

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`
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 → 75

Calls

4 calls:

12.0ms	(- (* b b) (* (* 3.0 a) c))
13.0ms	(* (* 3.0 a) c)
90.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
65.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series411.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
173.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
141.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1454
1	419
0	155

prune657.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.3b

localize11.0ms

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

prune93.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite53.0ms

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` `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 → 78

Calls

3 calls:

7.0ms	(/ (* a c) b)
16.0ms	(* -1.5 (/ (* a c) b))
27.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series125.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (* a c) b)
50.0ms	(* -1.5 (/ (* a c) b))
35.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5010
2	2219
1	371
0	123

prune616.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))
0.3b	(/ 1 (* 3.0 a))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
77×	`add-cbrt-cube`
76×	`prod-exp`
38×	`div-exp`
34×	`cbrt-unprod`
20×	`cbrt-undiv`
15×	`add-sqr-sqrt`
14×	`pow1` `associate-r`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`rec-exp` `1-exp`
5×	`pow-prod-down`
4×	`associate-/r` `associate-l` `associate-r/` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `pow-flip`
1×	`frac-times` `associate-*l/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

9.0ms	(/ (* a c) b)
24.0ms	(* -1.5 (/ (* a c) b))
69.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))
11.0ms	(/ 1 (* 3.0 a))

series108.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* a c) b)
36.0ms	(* -1.5 (/ (* a c) b))
30.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))
20.0ms	(/ 1 (* 3.0 a))

simplify1.9s

Counts

150 → 150

Iterations

Iter	Nodes
done	5127
2	2225
1	524
0	184

prune581.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 5.3b

regimes1.1s

Accuracy

10.8% (6.6b remaining)

Error of 11.7b against oracle of 5.2b and baseline of 12.5b

bsearch4.0ms

Steps

Iters	Range		Point
0	1.1367127926867939e-06	1.150970403537976e-06	1.1438415981123848e-06

simplify8.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	8142×	body	80	nan
718.0ms	4773×	body	160	valid
717.0ms	16142×	pre	80	true
272.0ms	1339×	body	320	valid
132.0ms	1888×	body	80	valid