Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	568×	pre	80	true
10.0ms	312×	body	80	nan
9.0ms	137×	body	160	valid
4.0ms	119×	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: 27.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(- (* b b) (* (* 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:

6.0ms	(* (* 3.0 a) c)
35.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
2.0ms	(- (* b b) (* (* 3.0 a) c))
11.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.0ms	(- (* b b) (* (* 3.0 a) c))
78.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify607.0ms

Counts

85 → 85

Iterations

Useful iterations: done (604.0ms)

Iter	Nodes	Cost
0	154	1437
1	426	1361
2	1774	1139
done	5000	1138

prune204.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.0b

localize3.0ms

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

prune36.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite22.0ms

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:

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

series68.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
23.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify787.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	123	1086
1	388	1045
2	2299	761
done	5001	761

prune164.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-exp-log`
92×	`add-cbrt-cube`
70×	`div-exp`
53×	`prod-exp`
37×	`cbrt-undiv`
29×	`times-frac` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-/r*`
9×	`rec-exp` `1-exp`
8×	`div-inv`
7×	`pow1` `associate-r`
6×	`associate-*r/` `associate-/r/`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

16.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
5.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
8.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
22.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
19.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify1.9s

Counts

166 → 166

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	213	2646
1	614	2417
2	3213	1803
done	5001	1803

prune172.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.9b

regimes504.0ms

Accuracy

47.9% (7.0b remaining)

Error of 16.2b against oracle of 9.2b and baseline of 22.7b

bsearch2.0ms

Steps

Iters	Range		Point
0	3187.1734153117472	3187.188536646724	3187.1809759792354

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	40
1	30	40
done	30	40

end0.0ms

sample1.3s

Algorithm

intervals

Results

312.0ms	16640×	pre	80	true
291.0ms	4488×	body	160	valid
279.0ms	8640×	body	80	nan
117.0ms	3511×	body	80	valid
0.0ms	1×	body	320	valid