Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	159×	body	160	valid
9.0ms	554×	pre	80	true
9.0ms	298×	body	80	nan
3.0ms	97×	body	80	valid

simplify63.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 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))))

rewrite120.0ms

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:

8.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(* (* 3.0 a) c)
68.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
23.0ms	(* (* 3.0 a) c)
112.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
86.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify967.0ms

Counts

85 → 85

Iterations

Useful iterations: done (965.0ms)

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

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* (* 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))

rewrite189.0ms

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:

16.0ms	(* 3.0 (* a c))
17.0ms	(* (* 3.0 a) c)
59.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
89.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series380.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 3.0 (* a c))
20.0ms	(* (* 3.0 a) c)
185.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
154.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.1s

Counts

169 → 169

Iterations

Useful iterations: 2 (447.0ms)

Iter	Nodes	Cost
0	243	4718
1	603	4240
2	2590	3862
done	5000	3862

prune379.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
17.0ms	(* (* 3.0 a) c)
57.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
61.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
23.0ms	(* (* 3.0 a) c)
189.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
89.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify1.1s

Counts

135 → 135

Iterations

Useful iterations: 2 (358.0ms)

Iter	Nodes	Cost
0	181	3191
1	499	3065
2	2698	2433
done	5000	2433

prune280.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

7116×	`times-frac`
3160×	`add-sqr-sqrt` `*-un-lft-identity`
2248×	`add-cube-cbrt`
639×	`div-inv`
456×	`distribute-lft-out--` `difference-of-squares`
410×	`add-exp-log`
305×	`div-exp`
228×	`distribute-rgt-neg-in` `sqrt-prod`
168×	`associate-/r/`
167×	`associate-/r*` `add-cbrt-cube`
102×	`cbrt-undiv`
77×	`flip3--` `flip--`
67×	`prod-exp`
55×	`1-exp`
27×	`cbrt-unprod`
22×	`rec-exp`
18×	`associate-/l*`
9×	`pow1`
6×	`add-log-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 2313

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
65.0ms	(/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
120.0ms	(/ (/ 1 1) (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
18.0ms	(* (* 3.0 a) c)

series315.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
89.0ms	(/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
159.0ms	(/ (/ 1 1) (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
21.0ms	(* (* 3.0 a) c)

simplify1.5s

Counts

2325 → 2325

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	2642	123060
done	5000	88118

prune3.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	22	21
done	22	21

end0.0ms

sample1.3s

Algorithm

intervals

Results

272.0ms	16543×	pre	80	true
267.0ms	4488×	body	160	valid
247.0ms	8543×	body	80	nan
108.0ms	3512×	body	80	valid