Details

Time bar (total: 14.7s)

sample301.0ms

Algorithm
intervals
Results
63.0ms270×body80nan
34.0ms35×body80valid
26.0ms103×body320valid
21.0ms526×pre80true
18.0ms98×body160valid
7.0ms20×body640valid

simplify365.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
379
243
125
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 183
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
7.0ms
(- (* b b) (* 4.0 (* c a)))
65.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
57.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series576.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
51.0ms
(- (* b b) (* 4.0 (* c a)))
216.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
225.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify1.9s

Counts
195 → 195
Iterations
IterNodes
done5002
22305
1797
0321

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.8b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune101.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
31.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
10.0ms
(/ (* a c) b)

series62.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
23.0ms
(/ (* a c) b)

simplify1.6s

Counts
83 → 83
Iterations
IterNodes
done5026
21950
1459
0171

prune602.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* (/ (* -2.0 (/ (* a c) b)) 2.0) (/ 1 a))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log
52×add-cbrt-cube
37×prod-exp
36×div-exp
20×add-sqr-sqrt
19×cbrt-undiv cbrt-unprod
17×times-frac
14×*-un-lft-identity
13×associate-*r* add-cube-cbrt
associate-*l*
rec-exp 1-exp
pow1
associate-/r* div-inv unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative associate-/l*
Counts
2 → 91
Calls
2 calls:
15.0ms
(/ (* a c) b)
71.0ms
(* (/ (* -2.0 (/ (* a c) b)) 2.0) (/ 1 a))

series72.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* a c) b)
40.0ms
(* (/ (* -2.0 (/ (* a c) b)) 2.0) (/ 1 a))

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5004
22321
1549
0184

prune393.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 2.8b

regimes683.0ms

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

sample4.8s

Algorithm
intervals
Results
1.1s7987×body80nan
996.0ms2993×body160valid
964.0ms3554×body320valid
769.0ms15987×pre80true
151.0ms523×body640valid
65.0ms930×body80valid