Details

sample118.0ms

Algorithm

intervals

Results

25.0ms	112×	body	320	valid
20.0ms	274×	body	80	nan
18.0ms	530×	pre	80	true
15.0ms	95×	body	160	valid
4.0ms	13×	body	640	valid
3.0ms	36×	body	80	valid

simplify144.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	94
7	94
6	93
5	91
4	83
3	68
2	39
1	21
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
26.8b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite147.0ms

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`
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 → 75

Calls

4 calls:

6.0ms	(- (* b b) (* (* 3.0 a) c))
82.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
14.0ms	(* (* 3.0 a) c)
42.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series356.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* b b) (* (* 3.0 a) c))
139.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.0ms	(* (* 3.0 a) c)
127.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1450
1	417
0	155

prune660.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

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

prune64.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* a c) b)
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite77.0ms

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` `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 → 78

Calls

3 calls:

26.0ms	(* -1.5 (/ (* a c) b))
15.0ms	(/ (* a c) b)
33.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series87.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* -1.5 (/ (* a c) b))
23.0ms	(/ (* a c) b)
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5028
2	2258
1	371
0	123

prune503.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ 1 (* 3.0 a))
0.3b	(/ (* a c) b)
0.3b	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
77×	`add-cbrt-cube`
76×	`prod-exp`
38×	`div-exp`
34×	`cbrt-unprod`
20×	`cbrt-undiv`
15×	`add-sqr-sqrt`
14×	`pow1` `associate-r`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`rec-exp` `1-exp`
5×	`pow-prod-down`
4×	`associate-/r` `associate-l` `associate-r/` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `pow-flip`
1×	`frac-times` `associate-*l/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

16.0ms	(* -1.5 (/ (* a c) b))
11.0ms	(/ 1 (* 3.0 a))
13.0ms	(/ (* a c) b)
88.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* -1.5 (/ (* a c) b))
31.0ms	(/ 1 (* 3.0 a))
37.0ms	(/ (* a c) b)
26.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify1.8s

Counts

150 → 150

Iterations

Iter	Nodes
done	5121
2	2234
1	531
0	184

prune539.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 3.4b

regimes856.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.1s	8109×	body	80	nan
916.0ms	3545×	body	320	valid
717.0ms	16109×	pre	80	true
505.0ms	3048×	body	160	valid
192.0ms	516×	body	640	valid
58.0ms	891×	body	80	valid