Details

Time bar (total: 7.0s)

sample52.0ms

Algorithm
intervals
Results
10.0ms153×body160valid
9.0ms514×pre80true
9.0ms258×body80nan
4.0ms44×body320valid
2.0ms59×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12417
24416
37916
49216
510016
done10016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
0.2b
(- (* b b) (* (* 4.0 a) c))
40.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv flip3-- div-exp associate-/r* flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 149
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
38.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
3.0ms
(- (* b b) (* (* 4.0 a) c))
18.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series313.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
109.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
48.0ms
(- (* b b) (* (* 4.0 a) c))
83.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify785.0ms

Counts
161 → 161
Iterations

Useful iterations: done (779.0ms)

IterNodesCost
02804083
16703911
224783753
done50003752

prune445.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.6b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune41.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b
(/ (* a c) b)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
9.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
3.0ms
(/ (* a c) b)

series45.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
24.0ms
(/ (* a c) b)

simplify743.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
01671164
14551118
22304956
done5001956

prune195.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2.0) a)
0.3b
(/ c (sqrt b))
0.3b
(/ a (sqrt b))
0.4b
(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
106×add-sqr-sqrt
76×add-cube-cbrt *-un-lft-identity
53×add-exp-log add-cbrt-cube
48×sqrt-prod
23×cbrt-undiv div-exp
22×associate-*r* associate-*l*
15×associate-/r*
13×prod-exp cbrt-unprod associate-/l*
9×div-inv unswap-sqr
6×pow1
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 207
Calls
4 calls:
24.0ms
(/ (/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2.0) a)
3.0ms
(/ c (sqrt b))
3.0ms
(/ a (sqrt b))
22.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2.0) a)
47.0ms
(/ c (sqrt b))
44.0ms
(/ a (sqrt b))
42.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.7s

Counts
219 → 219
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
03573295
110093095
248822379
done50002379

prune458.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 4.5b

regimes343.0ms

Accuracy

0% (7.0b remaining)

Error of 12.0b against oracle of 5.0b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.5s

Algorithm
intervals
Results
340.0ms4860×body160valid
302.0ms16422×pre80true
272.0ms8422×body80nan
135.0ms1339×body320valid
64.0ms1801×body80valid