Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	123×	body	320	valid
9.0ms	508×	pre	80	true
7.0ms	252×	body	80	nan
5.0ms	84×	body	160	valid
1.0ms	11×	body	640	valid
1.0ms	38×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	90	16
5	98	16
done	98	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
27.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

2.0ms	(- (* b b) (* (* 3.0 a) c))
33.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
13.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
107.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(* (* 3.0 a) c)
80.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify607.0ms

Counts

85 → 85

Iterations

Useful iterations: done (605.0ms)

Iter	Nodes	Cost
0	154	1437
1	426	1361
2	1781	1139
done	5001	1138

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

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

prune21.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

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))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

8.0ms	(* -1.5 (/ (* a c) b))
3.0ms	(/ (* a c) b)
8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* -1.5 (/ (* a c) b))
19.0ms	(/ (* a c) b)
21.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify758.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	123	1086
1	388	1045
2	2299	761
done	5000	761

prune143.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (* (* a c) (/ 1 b)))
0.4b	(* (* a c) (/ 1 b))
0.4b	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

153×	`add-exp-log`
89×	`add-cbrt-cube`
85×	`prod-exp`
45×	`cbrt-unprod`
36×	`div-exp`
20×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`pow-prod-down`
8×	`rec-exp` `1-exp`
7×	`associate-*r/`
4×	`associate-l`
3×	`un-div-inv` `add-log-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

3 → 116

Calls

3 calls:

22.0ms	(* -1.5 (* (* a c) (/ 1 b)))
10.0ms	(* (* a c) (/ 1 b))
26.0ms	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

series71.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* -1.5 (* (* a c) (/ 1 b)))
22.0ms	(* (* a c) (/ 1 b))
21.0ms	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: 2 (269.0ms)

Iter	Nodes	Cost
0	178	1936
1	622	1580
2	3461	1076
done	5000	1076

prune119.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.7b

regimes192.0ms

Accuracy

0% (3.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

349.0ms	3673×	body	320	valid
289.0ms	15967×	pre	80	true
239.0ms	7967×	body	80	nan
191.0ms	2961×	body	160	valid
59.0ms	477×	body	640	valid
30.0ms	889×	body	80	valid