Details

sample81.0ms

Algorithm

intervals

Results

16.0ms	145×	body	160	valid
15.0ms	275×	body	80	nan
13.0ms	531×	pre	80	true
8.0ms	48×	body	320	valid
4.0ms	63×	body	80	valid

simplify120.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	120
5	120
4	112
3	83
2	42
1	22
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
14.0ms	(* (* 3.0 a) c)
71.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series409.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
162.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
135.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2777
1	472
0	167

prune648.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

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

prune97.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.4b

localize22.0ms

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))

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)
16.0ms	(* -1.5 (/ (* a c) b))
34.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series100.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* a c) b)
36.0ms	(* -1.5 (/ (* a c) b))
41.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2851
1	401
0	129

prune439.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.3b

localize16.0ms

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))

rewrite121.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-l` `associate-r/` `log1p-expm1-u` `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 → 146

Calls

4 calls:

8.0ms	(/ (* a c) b)
17.0ms	(* -1.5 (/ (* a c) b))
75.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))
15.0ms	(/ 1 (* 3.0 a))

series137.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* a c) b)
42.0ms	(* -1.5 (/ (* a c) b))
33.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))
23.0ms	(/ 1 (* 3.0 a))

simplify2.1s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	3918
1	608
0	192

prune414.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.3b

regimes1.3s

Accuracy

32.3% (5.0b remaining)

Error of 10.1b against oracle of 5.2b and baseline of 12.5b

bsearch4.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	38
1	38
0	29

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.0s	16142×	pre	80	true
769.0ms	4773×	body	160	valid
766.0ms	8142×	body	80	nan
350.0ms	1339×	body	320	valid
127.0ms	1888×	body	80	valid