Details

sample100.0ms

Algorithm

intervals

Results

26.0ms	234×	body	80	nan
20.0ms	161×	body	160	valid
13.0ms	490×	pre	80	true
8.0ms	42×	body	320	valid
3.0ms	53×	body	80	valid

simplify115.0ms

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite215.0ms

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:

16.0ms	(- (* b b) (* (* 3.0 a) c))
37.0ms	(* (* 3.0 a) c)
129.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* b b) (* (* 3.0 a) c))
32.0ms	(* (* 3.0 a) c)
186.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
106.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.8s

Counts

85 → 85

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	154	1437
1	437	1361
2	2544	1143
done	5000	1133

prune297.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite299.0ms

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×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
86.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
164.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series522.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
41.0ms	(* (* 3.0 a) c)
248.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
211.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.7s

Counts

169 → 169

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	223	4721
1	587	4243
2	3847	3883
done	5002	3879

prune625.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(/ 1 (* 3.0 a))
0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
49×	`times-frac`
37×	`add-cbrt-cube`
32×	`add-cube-cbrt`
28×	`associate-l`
26×	`prod-exp`
20×	`div-exp`
14×	`pow1` `distribute-lft-out--` `difference-of-squares`
12×	`cbrt-unprod`
10×	`cbrt-undiv` `associate-r`
8×	`associate-/r*`
7×	`distribute-rgt-neg-in` `sqrt-prod`
6×	`rec-exp` `1-exp` `associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `div-inv` `add-log-exp`
2×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `flip--` `associate-/l/` `unswap-sqr`
1×	`frac-times` `flip3-+` `associate-r/` `associate-l/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 162

Calls

4 calls:

31.0ms	(* (* 3.0 a) c)
18.0ms	(/ 1 (* 3.0 a))
89.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
167.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
21.0ms	(/ 1 (* 3.0 a))
240.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
211.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

simplify3.2s

Counts

174 → 174

Iterations

Useful iterations: 2 (902.0ms)

Iter	Nodes	Cost
0	240	4361
1	699	3826
2	4699	3330
done	5000	3330

prune756.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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` `associate-r*` `pow-prod-down` `add-log-exp`
2×	`associate-l` `*-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:

18.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
37.0ms	(* (* 3.0 a) c)
48.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

series168.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* b b) (* (* 3.0 a) c))
40.0ms	(* (* 3.0 a) c)
32.0ms	(* (* 3.0 a) c)
19.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

simplify2.2s

Counts

85 → 85

Iterations

Useful iterations: 2 (449.0ms)

Iter	Nodes	Cost
0	94	936
1	307	864
2	2951	684
done	5001	684

prune244.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes222.0ms

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: 1 (3.0ms)

Iter	Nodes	Cost
0	15	25
1	19	23
done	19	23

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	4840×	body	160	valid
731.0ms	16133×	pre	80	true
652.0ms	8133×	body	80	nan
455.0ms	1372×	body	320	valid
166.0ms	1788×	body	80	valid