Details

sample54.0ms

Algorithm

intervals

Results

11.0ms	119×	body	320	valid
10.0ms	493×	pre	80	true
7.0ms	237×	body	80	nan
6.0ms	95×	body	160	valid
2.0ms	17×	body	640	valid
1.0ms	25×	body	80	valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	100	16
5	108	16
done	108	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
27.6b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite78.0ms

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:

3.0ms	(- (* b b) (* (* 3.0 a) c))
41.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
7.0ms	(* (* 3.0 a) c)
21.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series264.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
113.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
25.0ms	(* (* 3.0 a) c)
80.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify954.0ms

Counts

121 → 121

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	201	2338
1	492	2065
2	1793	1747
done	5001	1728

prune274.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize4.0ms

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

prune20.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize7.0ms

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))

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×	`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:

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)
29.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify929.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	129	1138
1	383	1097
2	1883	813
done	5000	813

prune181.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`rec-exp` `1-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

3.0ms	(/ (* a c) b)
4.0ms	(/ 1 (* 3.0 a))
8.0ms	(* -1.5 (/ (* a c) b))
28.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* a c) b)
16.0ms	(/ 1 (* 3.0 a))
28.0ms	(* -1.5 (/ (* a c) b))
21.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify879.0ms

Counts

158 → 158

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	192	2046
1	577	1772
2	1941	1336
done	5001	1336

prune206.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 2.3b

regimes297.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

352.0ms	3627×	body	320	valid
307.0ms	16113×	pre	80	true
254.0ms	8113×	body	80	nan
192.0ms	2959×	body	160	valid
65.0ms	498×	body	640	valid
30.0ms	916×	body	80	valid