Details

sample157.0ms

Algorithm

intervals

Results

48.0ms	266×	body	80	nan
29.0ms	111×	body	320	valid
19.0ms	522×	pre	80	true
16.0ms	95×	body	160	valid
7.0ms	22×	body	640	valid
2.0ms	28×	body	80	valid

simplify126.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	12	324
1	22	324
2	40	284
3	75	284
4	91	284
5	99	284
6	101	284
7	102	284
done	102	284

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize39.0ms

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))
0.2b	(* (* 3.0 a) c)
24.7b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`prod-diff`
15×	`sqrt-prod`
14×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`add-log-exp`
7×	`fma-neg`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `associate-r` `pow-prod-down` `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 → 109

Calls

4 calls:

7.0ms	(- (* b b) (* (* 3.0 a) c))
108.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
18.0ms	(* (* 3.0 a) c)
44.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series397.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* b b) (* (* 3.0 a) c))
169.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
33.0ms	(* (* 3.0 a) c)
122.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.8s

Counts

121 → 121

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	201	41813
1	539	37326
2	1945	33417
done	5000	33392

prune650.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune91.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize34.0ms

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))

rewrite61.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 84

Calls

3 calls:

8.0ms	(/ (* a c) b)
19.0ms	(* -1.5 (/ (* a c) b))
32.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series119.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* a c) b)
50.0ms	(* -1.5 (/ (* a c) b))
34.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	129	22055
1	386	19651
2	2220	19011
done	5042	18611

prune608.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

localize25.0ms

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))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

17.0ms	(* a (/ c b))
42.0ms	(* -1.5 (* a (/ c b)))
49.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series95.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* a (/ c b))
43.0ms	(* -1.5 (* a (/ c b)))
26.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify2.6s

Counts

98 → 98

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	145	22832
1	410	20418
2	2191	19616
done	5030	17856

prune494.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

regimes798.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	6	83
done	6	83

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.2s	3665×	body	320	valid
928.0ms	7969×	body	80	nan
672.0ms	15969×	pre	80	true
524.0ms	2964×	body	160	valid
165.0ms	470×	body	640	valid
57.0ms	901×	body	80	valid