Details

sample133.0ms

Algorithm

intervals

Results

40.0ms	534×	pre	80	true
25.0ms	146×	body	160	valid
24.0ms	278×	body	80	nan
10.0ms	110×	body	80	valid

simplify107.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite190.0ms

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:

14.0ms	(- (* b b) (* (* 3.0 a) c))
26.0ms	(* (* 3.0 a) c)
112.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
34.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
178.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
128.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2777
1	472
0	167

prune669.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.3b

localize11.0ms

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

prune72.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.3b

localize19.0ms

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))

rewrite70.0ms

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:

7.0ms	(/ (* a c) b)
26.0ms	(* -1.5 (/ (* a c) b))
34.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series99.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (* a c) b)
38.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2851
1	401
0	129

prune605.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (* a c))
0.3b	(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
0.4b	(* (* -1.5 (* a c)) (/ 1 b))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-exp-log`
94×	`add-cbrt-cube`
88×	`prod-exp`
46×	`cbrt-unprod`
44×	`div-exp`
23×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`rec-exp` `1-exp` `pow-prod-down`
4×	`associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l`

Counts

3 → 124

Calls

3 calls:

16.0ms	(* -1.5 (* a c))
85.0ms	(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
71.0ms	(* (* -1.5 (* a c)) (/ 1 b))

series103.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* -1.5 (* a c))
23.0ms	(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
41.0ms	(* (* -1.5 (* a c)) (/ 1 b))

simplify1.1s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
1	665
0	187

prune513.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 9.2b

regimes1.8s

Accuracy

50.8% (6.8b remaining)

Error of 15.8b against oracle of 9.0b and baseline of 22.9b

bsearch7.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	47
1	47
0	34

end1.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	16398×	pre	80	true
751.0ms	4405×	body	160	valid
690.0ms	8398×	body	80	nan
318.0ms	3595×	body	80	valid