Details

sample57.0ms

Algorithm

intervals

Results

10.0ms	110×	body	320	valid
9.0ms	525×	pre	80	true
8.0ms	269×	body	80	nan
6.0ms	99×	body	160	valid
2.0ms	17×	body	640	valid
1.0ms	30×	body	80	valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	104	16
5	112	16
done	112	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize12.0ms

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)
26.2b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite168.0ms

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

Counts

4 → 109

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
89.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
19.0ms	(* (* 3.0 a) c)
48.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series267.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
115.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
21.0ms	(* (* 3.0 a) c)
84.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.2s

Counts

121 → 121

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	201	2338
1	495	2065
2	1675	1747
done	5000	1676

prune281.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.7b

localize4.0ms

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

prune31.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite54.0ms

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

Calls

3 calls:

9.0ms	(/ (* a c) b)
17.0ms	(* -1.5 (/ (* a c) b))
25.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series74.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* a c) b)
32.0ms	(* -1.5 (/ (* a c) b))
22.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify661.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	129	1138
1	353	1097
2	1740	813
done	5000	813

prune187.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

22.0ms	(/ (* -1.5 (* a c)) b)
15.0ms	(* -1.5 (* a c))
22.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

series76.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (* -1.5 (* a c)) b)
21.0ms	(* -1.5 (* a c))
22.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

simplify681.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	141	1250
1	361	1211
2	1688	925
done	5000	925

prune151.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.7b

regimes318.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

336.0ms	3575×	body	320	valid
274.0ms	16199×	pre	80	true
249.0ms	8199×	body	80	nan
187.0ms	2959×	body	160	valid
67.0ms	524×	body	640	valid
30.0ms	942×	body	80	valid