Details

sample167.0ms

Algorithm

intervals

Results

61.0ms	162×	body	160	valid
22.0ms	267×	body	80	nan
20.0ms	523×	pre	80	true
12.0ms	49×	body	320	valid
4.0ms	45×	body	80	valid

simplify130.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	83	16
4	112	16
5	120	16
done	120	16

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))
41.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `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×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

18.0ms	(- (* b b) (* (* 3.0 a) c))
33.0ms	(* (* 3.0 a) c)
137.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* b b) (* (* 3.0 a) c))
32.0ms	(* (* 3.0 a) c)
179.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
127.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.5s

Counts

105 → 105

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	167	1559
1	472	1480
2	2781	1251
done	5001	1244

prune754.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune84.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.7b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

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:

32.0ms	(* -1.5 (/ (* a c) b))
28.0ms	(/ (* a c) b)
43.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series125.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* -1.5 (/ (* a c) b))
32.0ms	(/ (* a c) b)
35.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	129	1138
1	401	1097
2	2854	869
done	5001	853

prune712.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ (* a c) b) a)
0.3b	(/ (* a c) b)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

31.0ms	(/ (/ (* a c) b) a)
22.0ms	(/ (* a c) b)

series65.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (/ (* a c) b) a)
46.0ms	(/ (* a c) b)

simplify1.4s

Counts

79 → 79

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	121	831
1	310	794
2	1619	722
done	5001	712

prune521.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.7b

regimes1.2s

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.1b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.3s	16401×	pre	80	true
1.0s	4859×	body	160	valid
813.0ms	8401×	body	80	nan
444.0ms	1362×	body	320	valid
282.0ms	1779×	body	80	valid