Details

Time bar (total: 22.6s)

sample247.0ms

Algorithm
intervals
Results
31.0ms103×body320valid
24.0ms270×body80nan
22.0ms526×pre80true
19.0ms98×body160valid
8.0ms20×body640valid
3.0ms35×body80valid

simplify93.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
26.5b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite188.0ms

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-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
12.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
12.0ms
(- (* b b) (* (* c a) 4.0))
85.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
65.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series494.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
64.0ms
(- (* b b) (* (* c a) 4.0))
164.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
142.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.0s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune107.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.9b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
29.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
8.0ms
(/ (* a c) b)

series64.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
35.0ms
(/ (* a c) b)

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5000
23008
1464
0167

prune577.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0)))
0.4b
(/ (/ (* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))) a) (* a a))
0.5b
(* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))
0.6b
(cbrt (/ (/ (* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))) a) (* a a)))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
4251×add-cbrt-cube add-exp-log
1954×cbrt-undiv div-exp
1874×prod-exp cbrt-unprod
38×times-frac
25×pow1
24×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
14×associate-*l*
11×cbrt-prod
10×div-inv
8×associate-*r*
7×swap-sqr associate-/l*
6×frac-times associate-*r/ pow-prod-up
4×pow-prod-down associate-*l/ add-log-exp
2×pow2 pow-plus pow-sqr *-commutative unswap-sqr
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 cube-unmult associate-/l/
Counts
4 → 953
Calls
4 calls:
343.0ms
(* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0)))
356.0ms
(/ (/ (* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))) a) (* a a))
104.0ms
(* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))
310.0ms
(cbrt (/ (/ (* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))) a) (* a a)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0)))
94.0ms
(/ (/ (* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))) a) (* a a))
90.0ms
(* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))
84.0ms
(cbrt (/ (/ (* (/ (* -2.0 (/ (* c a) b)) 2.0) (* (/ (* -2.0 (/ (* c a) b)) 2.0) (/ (* -2.0 (/ (* c a) b)) 2.0))) a) (* a a)))

simplify3.6s

Counts
965 → 965
Iterations
IterNodes
done5001
01323

prune5.6s

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.8b

regimes616.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s3554×body320valid
762.0ms7987×body80nan
599.0ms15987×pre80true
509.0ms2993×body160valid
176.0ms523×body640valid
97.0ms930×body80valid