Details

sample188.0ms

Algorithm

intervals

Results

65.0ms	244×	body	80	nan
31.0ms	121×	body	320	valid
19.0ms	500×	pre	80	true
15.0ms	92×	body	160	valid
5.0ms	13×	body	640	valid
3.0ms	30×	body	80	valid

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.1b

localize36.0ms

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)
26.8b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite258.0ms

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:

19.0ms	(- (* b b) (* (* 3.0 a) c))
145.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.0ms	(* (* 3.0 a) c)
47.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* b b) (* (* 3.0 a) c))
222.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.0ms	(* (* 3.0 a) c)
154.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	154	1437
1	437	1361
2	2551	1143
done	5002	1133

prune560.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.3b	(* (* 3.0 a) c)
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

153.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
33.0ms	(* (* 3.0 a) c)
38.0ms	(* 3.0 (* a c))
218.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

series713.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
37.0ms	(* (* 3.0 a) c)
34.0ms	(* 3.0 (* a c))
303.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

simplify4.9s

Counts

169 → 169

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	243	4718
1	654	4242
2	4517	3876
done	5002	3876

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-r`
9×	`add-cube-cbrt` `pow-prod-down`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sqrt-prod` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

36.0ms	(* (* 3.0 a) c)
216.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
29.0ms	(* 3.0 (* a c))
152.0ms	(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* 3.0 a) c)
193.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
32.0ms	(* 3.0 (* a c))
258.0ms	(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

simplify4.6s

Counts

103 → 103

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	168	1932
1	512	1798
2	4294	1470
done	5001	1464

prune712.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (pow b 2) (* 3.0 (* a c)))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (* (* 3.0 a) c) (* 3.0 a))
0.3b	(* 3.0 (* a c))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp` `pow-prod-down` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

4 → 73

Calls

4 calls:

28.0ms	(- (pow b 2) (* 3.0 (* a c)))
32.0ms	(* (* 3.0 a) c)
54.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))
32.0ms	(* 3.0 (* a c))

series177.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (pow b 2) (* 3.0 (* a c)))
33.0ms	(* (* 3.0 a) c)
20.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))
41.0ms	(* 3.0 (* a c))

simplify2.9s

Counts

85 → 85

Iterations

Useful iterations: 2 (613.0ms)

Iter	Nodes	Cost
0	113	933
1	344	855
2	3231	697
done	5001	697

prune484.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes316.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	23
1	20	23
done	20	23

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.6s	3691×	body	320	valid
1.2s	16176×	pre	80	true
996.0ms	8176×	body	80	nan
525.0ms	2925×	body	160	valid
205.0ms	495×	body	640	valid
70.0ms	889×	body	80	valid