Details

sample121.0ms

Algorithm

intervals

Results

27.0ms	561×	pre	80	true
22.0ms	305×	body	80	nan
21.0ms	148×	body	160	valid
8.0ms	108×	body	80	valid

simplify120.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite171.0ms

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:

15.0ms	(* (* 3.0 a) c)
10.0ms	(- (* b b) (* (* 3.0 a) c))
110.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
35.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* 3.0 a) c)
65.0ms	(- (* b b) (* (* 3.0 a) c))
176.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
114.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5003
2	1563
1	463
0	167

prune742.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.4b

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

prune101.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.4b

localize19.0ms

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))

rewrite89.0ms

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:

16.0ms	(/ (* a c) b)
33.0ms	(* -1.5 (/ (* a c) b))
35.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (* a c) b)
33.0ms	(* -1.5 (/ (* a c) b))
32.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5042
2	2220
1	386
0	129

prune659.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.3b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 172

Calls

3 calls:

15.0ms	(/ a (/ b c))
48.0ms	(* -1.5 (/ a (/ b c)))
22.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series120.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify2.1s

Counts

181 → 181

Iterations

Iter	Nodes
done	5038
2	3428
1	777
0	272

prune972.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 9.3b

regimes1.9s

Accuracy

44.6% (7.6b remaining)

Error of 16.8b against oracle of 9.2b and baseline of 23.0b

bsearch22.0ms

Steps

Iters	Range		Point
2	59.54081762261222	70.62772712067056	60.5124483648276

simplify5.0ms

Iterations

Iter	Nodes
done	36
1	36
0	27

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	4433×	body	160	valid
717.0ms	8725×	body	80	nan
654.0ms	16725×	pre	80	true
341.0ms	3566×	body	80	valid
0.0ms	1×	body	320	valid