Details

sample51.0ms

Algorithm

intervals

Results

11.0ms	582×	pre	80	true
10.0ms	326×	body	80	nan
9.0ms	152×	body	160	valid
3.0ms	104×	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: 29.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite59.0ms

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))
6.0ms	(* (* 3.0 a) c)
37.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
102.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify603.0ms

Counts

85 → 85

Iterations

Useful iterations: done (601.0ms)

Iter	Nodes	Cost
0	154	1437
1	426	1361
2	1774	1139
done	5001	1138

prune205.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.9b

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

prune31.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.9b

localize7.0ms

Local error

Found 3 expressions with local error:

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

21.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify790.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (132.0ms)

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

prune159.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
13×	`associate-r`
10×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
3×	`pow-prod-down`
2×	`associate-*r/` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l*`

Counts

2 → 67

Calls

2 calls:

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (* -1.5 a) (/ c b))
20.0ms	(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))

simplify1.2s

Counts

73 → 73

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	129	1076
1	432	1023
2	2777	711
done	5000	711

prune87.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 9.8b

regimes496.0ms

Accuracy

46.2% (7.1b remaining)

Error of 16.3b against oracle of 9.2b and baseline of 22.4b

bsearch2.0ms

Steps

Iters	Range		Point
0	228.11766252751497	228.40791225309218	228.26278739030357

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	46
1	30	46
done	30	46

end0.0ms

sample1.3s

Algorithm

intervals

Results

305.0ms	16462×	pre	80	true
294.0ms	4522×	body	160	valid
254.0ms	8462×	body	80	nan
115.0ms	3478×	body	80	valid