Details

sample116.0ms

Algorithm

intervals

Results

25.0ms	110×	body	80	valid
21.0ms	146×	body	160	valid
20.0ms	310×	body	80	nan
18.0ms	566×	pre	80	true

simplify85.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	128
5	128
4	119
3	86
2	46
1	25
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 c) a)))
0.3b	(- (* b b) (* (* 4.0 c) a))
0.3b	(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
28.1b	(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`add-cube-cbrt`
20×	`sqrt-prod`
19×	`prod-diff`
18×	`times-frac`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`fma-neg`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 118

Calls

4 calls:

12.0ms	(sqrt (- (* b b) (* (* 4.0 c) a)))
13.0ms	(- (* b b) (* (* 4.0 c) a))
92.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
79.0ms	(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series441.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (- (* b b) (* (* 4.0 c) a)))
87.0ms	(- (* b b) (* (* 4.0 c) a))
134.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
93.0ms	(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	2179
1	509
0	198

prune778.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.3b

localize7.0ms

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

prune129.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.3b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (/ (* a c) b)) a)
0.3b	(/ (* a c) b)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

23.0ms	(/ (* -2.0 (/ (* a c) b)) a)
14.0ms	(/ (* a c) b)

series65.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (* -2.0 (/ (* a c) b)) a)
27.0ms	(/ (* a c) b)

simplify1.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1932
1	281
0	101

prune320.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.6b	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `sqrt-prod`
25×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac`
19×	`pow1`
12×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`associate-/r*`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
7×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `associate-/l*` `associate-/l/`
2×	`frac-times` `associate-*l/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `*-commutative`

Counts

4 → 140

Calls

4 calls:

88.0ms	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
11.0ms	(/ (* a c) b)
7.0ms	(/ (* a c) b)
31.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
22.0ms	(/ (* a c) b)
22.0ms	(/ (* a c) b)
62.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify1.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	2758
1	407
0	170

prune654.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.1b

regimes884.0ms

Accuracy

44.1% (7.8b remaining)

Error of 16.8b against oracle of 9.0b and baseline of 23.0b

bsearch21.0ms

Steps

Iters	Range		Point
2	59.54081762261222	70.62772712067056	60.5124483648276

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	16838×	pre	80	true
777.0ms	4385×	body	160	valid
723.0ms	8838×	body	80	nan
327.0ms	3614×	body	80	valid
0.0ms	1×	body	320	valid