Details

sample69.0ms

Algorithm

intervals

Results

17.0ms	152×	body	160	valid
13.0ms	582×	pre	80	true
12.0ms	326×	body	80	nan
4.0ms	104×	body	80	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	90	16
5	98	16
done	98	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.3b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

2.0ms	(- (* b b) (* (* 3.0 a) c))
9.0ms	(* (* 3.0 a) c)
35.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
17.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series249.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
111.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
76.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify571.0ms

Counts

87 → 87

Iterations

Useful iterations: done (569.0ms)

Iter	Nodes	Cost
0	155	1464
1	408	1392
2	1694	1226
done	5000	1225

prune217.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.8b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune42.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.8b

localize7.0ms

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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series71.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* a c) b)
32.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify641.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	123	1086
1	388	1045
2	2071	761
done	5000	761

prune175.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
13×	`associate-r`
10×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
3×	`pow-prod-down`
2×	`associate-*r/` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l*`

Counts

2 → 67

Calls

2 calls:

9.0ms	(* (* -1.5 a) (/ c b))
10.0ms	(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))

series47.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (* -1.5 a) (/ c b))
21.0ms	(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	129	1076
1	432	1023
2	2743	711
done	5001	711

prune89.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.7b

regimes546.0ms

Accuracy

46% (7.2b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.4b

bsearch3.0ms

Steps

Iters	Range		Point
0	228.11766252751497	228.40791225309218	228.26278739030357

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	25	39
done	25	39

end0.0ms

sample1.4s

Algorithm

intervals

Results

305.0ms	4522×	body	160	valid
303.0ms	16462×	pre	80	true
272.0ms	8462×	body	80	nan
119.0ms	3478×	body	80	valid