Details

sample123.0ms

Algorithm

intervals

Results

25.0ms	267×	body	80	nan
22.0ms	110×	body	320	valid
16.0ms	523×	pre	80	true
14.0ms	98×	body	160	valid
6.0ms	24×	body	640	valid
2.0ms	24×	body	80	valid

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	96	16
5	104	16
done	104	16

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.1b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b	(* (* 3.0 a) c)
25.8b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
147×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
79×	`add-cube-cbrt`
34×	`difference-of-squares`
28×	`associate-/l*`
17×	`sqrt-prod` `distribute-lft-out--`
16×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r*` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

126.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
112.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
18.0ms	(* (* 3.0 a) c)
89.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series456.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
158.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
36.0ms	(* (* 3.0 a) c)
114.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts

194 → 194

Iterations

Useful iterations: 2 (633.0ms)

Iter	Nodes	Cost
0	287	4775
1	711	4627
2	3307	4429
done	5000	4429

prune852.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

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

prune59.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ (* -0.5 (/ (* a c) b)) a)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

20.0ms	(/ (* a c) b)
41.0ms	(/ (* -0.5 (/ (* a c) b)) a)

series88.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (* a c) b)
50.0ms	(/ (* -0.5 (/ (* a c) b)) a)

simplify998.0ms

Counts

53 → 53

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	97	568
1	278	547
2	1931	449
done	5000	435

prune160.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ c (sqrt b))
0.2b	(/ a (sqrt b))
0.3b	(/ (* -0.5 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
0.3b	(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
87×	`times-frac`
62×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
45×	`add-exp-log` `add-cbrt-cube`
22×	`associate-r` `associate-l`
16×	`cbrt-undiv` `div-exp`
15×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
9×	`unswap-sqr`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-*r/` `div-inv`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`frac-times` `associate-*l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 183

Calls

4 calls:

6.0ms	(/ c (sqrt b))
7.0ms	(/ a (sqrt b))
88.0ms	(/ (* -0.5 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
59.0ms	(* (/ a (sqrt b)) (/ c (sqrt b)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ c (sqrt b))
57.0ms	(/ a (sqrt b))
55.0ms	(/ (* -0.5 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
63.0ms	(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify574.0ms

Counts

195 → 195

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	285	2549
1	861	2358
done	5000	2126

prune706.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.5b

regimes288.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.4s	3662×	body	320	valid
1.1s	16294×	pre	80	true
719.0ms	8294×	body	80	nan
540.0ms	2941×	body	160	valid
179.0ms	518×	body	640	valid
59.0ms	879×	body	80	valid