Details

sample456.0ms

Algorithm

intervals

Results

40.0ms	554×	pre	80	true
38.0ms	298×	body	80	nan
38.0ms	115×	body	320	valid
17.0ms	86×	body	160	valid
9.0ms	23×	body	640	valid
3.0ms	32×	body	80	valid

simplify229.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	97
7	97
6	96
5	94
4	86
3	71
2	42
1	24
0	14

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
0.1b	(- (* b b) (* (* c a) 4.0))
24.9b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 72

Calls

4 calls:

18.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
171.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
16.0ms	(- (* b b) (* (* c a) 4.0))
102.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series571.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
186.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
86.0ms	(- (* b b) (* (* c a) 4.0))
165.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1331
1	401
0	154

prune803.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune93.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

localize34.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
0.3b	(/ (* a c) b)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log` `add-cbrt-cube`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`pow1` `frac-2neg` `clear-num` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 51

Calls

2 calls:

46.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
21.0ms	(/ (* a c) b)

series85.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
39.0ms	(/ (* a c) b)

simplify2.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5013
2	2001
1	327
0	107

prune502.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 2.0 a))
0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.5b	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
34×	`sqrt-prod`
32×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1` `times-frac`
12×	`swap-sqr` `prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
7×	`associate-/r*` `div-inv`
5×	`associate-*r/` `pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`frac-2neg` `pow-prod-down` `clear-num` `pow-sqr` `associate-/l/` `associate-/l*`
2×	`frac-times` `associate-*l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `*-commutative`

Counts

4 → 134

Calls

4 calls:

175.0ms	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 2.0 a))
19.0ms	(/ (* a c) b)
20.0ms	(/ (* a c) b)
78.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 2.0 a))
39.0ms	(/ (* a c) b)
39.0ms	(/ (* a c) b)
110.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify2.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	5038
2	2122
1	448
0	172

prune1.2s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 2.9b

regimes788.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.1s	3640×	body	320	valid
1.1s	7913×	body	80	nan
1.1s	15913×	pre	80	true
805.0ms	2950×	body	160	valid
547.0ms	500×	body	640	valid
98.0ms	910×	body	80	valid