Details

sample107.0ms

Algorithm

intervals

Results

22.0ms	308×	body	80	nan
20.0ms	137×	body	160	valid
19.0ms	564×	pre	80	true
9.0ms	119×	body	80	valid

simplify124.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.3b

localize22.0ms

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))))

rewrite174.0ms

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))
19.0ms	(* (* 3.0 a) c)
101.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
34.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* b b) (* (* 3.0 a) c))
24.0ms	(* (* 3.0 a) c)
187.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
116.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.9s

Counts

85 → 85

Iterations

Useful iterations: done (1.9s)

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

prune320.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

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)))))

rewrite306.0ms

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:

35.0ms	(* 3.0 (* a c))
35.0ms	(* (* 3.0 a) c)
99.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
123.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 3.0 (* a c))
36.0ms	(* (* 3.0 a) c)
277.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
284.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.7s

Counts

169 → 169

Iterations

Useful iterations: 2 (736.0ms)

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

prune712.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize37.0ms

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)))))

rewrite340.0ms

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:

37.0ms	(* (* a c) 3.0)
37.0ms	(* (* 3.0 a) c)
151.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
106.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series565.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* a c) 3.0)
24.0ms	(* (* 3.0 a) c)
215.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
298.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.1s

Counts

169 → 169

Iterations

Useful iterations: 2 (983.0ms)

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

prune668.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize33.0ms

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)))))

rewrite326.0ms

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:

172.0ms	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
18.0ms	(* (* 3.0 a) c)
31.0ms	(* (* 3.0 a) c)
85.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series599.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
27.0ms	(* (* 3.0 a) c)
35.0ms	(* (* 3.0 a) c)
322.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.8s

Counts

277 → 277

Iterations

Useful iterations: 2 (1.3s)

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

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

778.0ms	3511×	body	80	valid
778.0ms	16618×	pre	80	true
718.0ms	4489×	body	160	valid
690.0ms	8618×	body	80	nan