Details

sample160.0ms

Algorithm

intervals

Results

54.0ms	119×	body	320	valid
28.0ms	515×	pre	80	true
27.0ms	259×	body	80	nan
20.0ms	95×	body	160	valid
6.0ms	13×	body	640	valid
3.0ms	29×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
25.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

15.0ms	(- (* b b) (* (* 3 a) c))
114.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
14.0ms	(* (* 3 a) c)
33.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series388.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* b b) (* (* 3 a) c))
164.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms	(* (* 3 a) c)
122.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.2s

Counts

91 → 91

Iterations

Iter	Nodes
3	6196
2	1498
1	421
0	158

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

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
1	0
0	0

prune56.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite67.0ms

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×	`associate-l` `insert-posit16` `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 → 81

Calls

3 calls:

9.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))
43.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series120.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* a c) b)
54.0ms	(* -3/2 (/ (* a c) b))
30.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.1s

Counts

90 → 90

Iterations

Iter	Nodes
3	15215
2	1842
1	363
0	126

prune792.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.4b	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
0.5b	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
0.7b	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

210×	`add-cbrt-cube` `add-exp-log`
100×	`prod-exp` `cbrt-unprod`
68×	`cbrt-undiv` `div-exp`
24×	`pow1`
16×	`add-sqr-sqrt`
15×	`times-frac`
14×	`associate-l`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`frac-times` `associate-*r/`
8×	`associate-r`
7×	`cbrt-div` `swap-sqr` `associate-*l/`
6×	`pow-prod-up`
5×	`div-inv`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

3 → 167

Calls

3 calls:

79.0ms	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
23.0ms	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
57.0ms	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

series243.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
60.0ms	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
89.0ms	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

simplify1.1s

Counts

176 → 176

Iterations

Iter	Nodes
2	2185
1	595
0	209

prune1.5s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

regimes568.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.6s	8004×	body	80	nan
1.5s	3631×	body	320	valid
1.1s	16004×	pre	80	true
747.0ms	2912×	body	160	valid
237.0ms	494×	body	640	valid
223.0ms	963×	body	80	valid