Details

sample55.0ms

Algorithm

intervals

Results

12.0ms	160×	body	160	valid
10.0ms	506×	pre	80	true
9.0ms	250×	body	80	nan
5.0ms	50×	body	320	valid
2.0ms	46×	body	80	valid

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	45	16
3	87	16
4	105	16
5	113	16
done	113	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
40.2b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
135×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
82×	`add-cube-cbrt`
28×	`sqrt-prod`
26×	`difference-of-squares`
22×	`associate-/l*`
19×	`prod-diff`
13×	`distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`fma-neg`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r*` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 183

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms	(- (* b b) (* (* 4.0 a) c))
36.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
22.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series309.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms	(- (* b b) (* (* 4.0 a) c))
108.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
84.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify941.0ms

Counts

195 → 195

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	321	4967
1	751	4592
2	2186	4283
done	5000	4264

prune500.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.7b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune47.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

10.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
3.0ms	(/ (* a c) b)

series44.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
19.0ms	(/ (* a c) b)

simplify898.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (406.0ms)

Iter	Nodes	Cost
0	171	1200
1	444	1154
2	1803	992
done	5001	992

prune216.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
15×	`cbrt-undiv` `div-exp`
10×	`div-inv` `associate-/l*`
3×	`prod-exp` `cbrt-unprod`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 126

Calls

2 calls:

5.0ms	(/ a (/ b c))
12.0ms	(/ (/ (* -2.0 (/ a (/ b c))) 2.0) a)

series41.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ a (/ b c))
20.0ms	(/ (/ (* -2.0 (/ a (/ b c))) 2.0) a)

simplify772.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (299.0ms)

Iter	Nodes	Cost
0	269	1894
1	652	1788
2	2446	1616
done	5000	1616

prune277.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 4.6b

regimes391.0ms

Accuracy

12.8% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.0b

bsearch17.0ms

Steps

Iters	Range		Point
2	0.00025188901510240987	0.00029118470560064225	0.0002568009764146889

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	38
1	26	38
done	26	38

end0.0ms

sample1.5s

Algorithm

intervals

Results

337.0ms	4818×	body	160	valid
308.0ms	16455×	pre	80	true
288.0ms	8455×	body	80	nan
147.0ms	1399×	body	320	valid
68.0ms	1783×	body	80	valid