Details

sample91.0ms

Algorithm

intervals

Results

19.0ms	308×	body	80	nan
18.0ms	564×	pre	80	true
17.0ms	137×	body	160	valid
8.0ms	119×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	88	16
5	96	16
done	96	16

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.3b

localize14.0ms

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))
27.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite205.0ms

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:

12.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
113.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
41.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
195.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
130.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	154	1437
1	410	1361
2	1547	1139
done	5000	1125

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite349.0ms

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:

34.0ms	(* 3.0 (* a c))
37.0ms	(* (* 3.0 a) c)
163.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
108.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 3.0 (* a c))
37.0ms	(* (* 3.0 a) c)
222.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
241.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.7s

Counts

169 → 169

Iterations

Useful iterations: 2 (646.0ms)

Iter	Nodes	Cost
0	243	4718
1	603	4240
2	2560	3862
done	5001	3862

prune647.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite309.0ms

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:

35.0ms	(* (* a c) 3.0)
19.0ms	(* (* 3.0 a) c)
142.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
99.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* a c) 3.0)
35.0ms	(* (* 3.0 a) c)
211.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
269.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.9s

Counts

169 → 169

Iterations

Useful iterations: 2 (835.0ms)

Iter	Nodes	Cost
0	247	4721
1	619	4241
2	2764	3863
done	5001	3863

prune975.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

376×	`times-frac`
188×	`add-sqr-sqrt` `*-un-lft-identity`
132×	`add-cube-cbrt`
44×	`associate-/l*`
43×	`add-exp-log` `add-cbrt-cube`
28×	`distribute-lft-out--` `difference-of-squares`
26×	`associate-/r/`
18×	`div-inv`
15×	`cbrt-undiv` `div-exp`
14×	`pow1` `distribute-rgt-neg-in` `sqrt-prod`
13×	`flip3--` `flip--`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
6×	`associate-r` `pow-prod-down`
4×	`add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 265

Calls

4 calls:

134.0ms	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
32.0ms	(* (* 3.0 a) c)
36.0ms	(* (* 3.0 a) c)
94.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series592.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
36.0ms	(* (* 3.0 a) c)
35.0ms	(* (* 3.0 a) c)
295.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.9s

Counts

277 → 277

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	459	9314
1	1145	8739
2	4622	8215
done	5002	8215

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	23
1	18	23
done	18	23

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	4489×	body	160	valid
801.0ms	8618×	body	80	nan
696.0ms	16618×	pre	80	true
416.0ms	3511×	body	80	valid