Details

sample100.0ms

Algorithm

intervals

Results

20.0ms	162×	body	160	valid
15.0ms	270×	body	80	nan
15.0ms	526×	pre	80	true
8.0ms	45×	body	320	valid
3.0ms	49×	body	80	valid

simplify85.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
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×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `associate-l` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 73

Calls

4 calls:

7.0ms	(- (* b b) (* (* 3.0 a) c))
13.0ms	(* (* 3.0 a) c)
68.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* b b) (* (* 3.0 a) c))
24.0ms	(* (* 3.0 a) c)
118.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
90.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2625
1	437
0	154

prune455.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

18.0ms	(* c (* a 3.0))
15.0ms	(* c (* a 3.0))
108.0ms	(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
142.0ms	(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

series478.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* c (* a 3.0))
32.0ms	(* c (* a 3.0))
250.0ms	(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
161.0ms	(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

simplify1.6s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	3302
1	652
0	246

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite372.0ms

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`
30×	`associate-l`
26×	`prod-exp`
20×	`div-exp`
14×	`pow1` `distribute-lft-out--` `difference-of-squares`
12×	`cbrt-unprod`
10×	`cbrt-undiv`
8×	`associate-/r` `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×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `pow-flip` `flip--` `unswap-sqr` `associate-/l/`
1×	`frac-times` `flip3-+` `div-sub` `associate-l/` `associate-r/` `un-div-inv` `associate-+l-` `flip-+` `inv-pow`

Counts

4 → 163

Calls

4 calls:

18.0ms	(* c (* a 3.0))
17.0ms	(/ 1 (* a 3.0))
128.0ms	(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
203.0ms	(* (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (/ 1 (* a 3.0)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* c (* a 3.0))
24.0ms	(/ 1 (* a 3.0))
270.0ms	(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
176.0ms	(* (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (/ 1 (* a 3.0)))

simplify2.3s

Counts

175 → 175

Iterations

Iter	Nodes
done	5002
2	4607
1	755
0	256

prune866.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

545×	`times-frac`
374×	`*-un-lft-identity`
277×	`add-sqr-sqrt`
265×	`add-cube-cbrt`
164×	`associate-r`
113×	`add-exp-log`
108×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
73×	`add-cbrt-cube`
54×	`distribute-lft-out`
45×	`div-exp`
41×	`prod-exp`
28×	`div-inv`
27×	`neg-mul-1` `cbrt-unprod`
24×	`cbrt-undiv`
16×	`pow1`
13×	`associate-l` `associate-/l*`
12×	`associate-/r*`
7×	`pow-prod-down`
5×	`rec-exp` `1-exp`
4×	`associate-/r/` `distribute-neg-frac` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/` `associate-/l/`

Counts

4 → 453

Calls

4 calls:

253.0ms	(* (/ (* 3.0 (* c a)) 3.0) (/ (/ 1 a) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))))
16.0ms	(* 3.0 (* c a))
25.0ms	(* 3.0 (* c a))
108.0ms	(/ (/ 1 a) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a)))))))

series587.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (/ (* 3.0 (* c a)) 3.0) (/ (/ 1 a) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))))
35.0ms	(* 3.0 (* c a))
21.0ms	(* 3.0 (* c a))
220.0ms	(/ (/ 1 a) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a)))))))

simplify824.0ms

Counts

465 → 465

Iterations

Iter	Nodes
done	5001
1	1844
0	533

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	8480×	body	80	nan
745.0ms	4824×	body	160	valid
694.0ms	1370×	body	320	valid
587.0ms	16480×	pre	80	true
112.0ms	1806×	body	80	valid