Details

sample202.0ms

Algorithm

intervals

Results

69.0ms	115×	body	320	valid
34.0ms	505×	pre	80	true
33.0ms	249×	body	80	nan
25.0ms	88×	body	160	valid
11.0ms	19×	body	640	valid
5.0ms	34×	body	80	valid

simplify79.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.3b	(* (* 3 a) c)
24.6b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite127.0ms

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` `insert-posit16` `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 → 97

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3 a) c))
61.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
27.0ms	(* (* 3 a) c)
30.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* b b) (* (* 3 a) c))
132.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.0ms	(* (* 3 a) c)
109.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify5.1s

Counts

109 → 109

Iterations

Iter	Nodes
3	6397
2	1600
1	466
0	170

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune42.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite62.0ms

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` `insert-posit16` `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 → 87

Calls

3 calls:

23.0ms	(/ (* a c) b)
16.0ms	(* -3/2 (/ (* a c) b))
20.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* a c) b)
50.0ms	(* -3/2 (/ (* a c) b))
35.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.1s

Counts

96 → 96

Iterations

Iter	Nodes
3	16672
2	1918
1	379
0	132

prune812.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ a (/ b c))
0.3b	(* -3/2 (/ a (/ b c)))
0.4b	(/ (* -3/2 (/ a (/ b c))) (* 3 a))

rewrite74.0ms

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` `insert-posit16` `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 → 175

Calls

3 calls:

12.0ms	(/ a (/ b c))
24.0ms	(* -3/2 (/ a (/ b c)))
31.0ms	(/ (* -3/2 (/ a (/ b c))) (* 3 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ a (/ b c))
46.0ms	(* -3/2 (/ a (/ b c)))
26.0ms	(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify772.0ms

Counts

184 → 184

Iterations

Iter	Nodes
2	3087
1	756
0	275

prune1.5s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

regimes583.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.4s	3667×	body	320	valid
1.1s	15993×	pre	80	true
1.0s	7993×	body	80	nan
733.0ms	2922×	body	160	valid
305.0ms	490×	body	640	valid
130.0ms	921×	body	80	valid