Details

Time bar (total: 17.9s)

sample250.0ms

Algorithm
intervals
Results
83.0ms121×body320valid
18.0ms489×pre80true
18.0ms233×body80nan
15.0ms94×body160valid
8.0ms16×body640valid
2.0ms25×body80valid

simplify116.0ms

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize23.0ms

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)
28.3b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite243.0ms

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--
add-cbrt-cube add-exp-log
add-log-exp
pow1 div-inv
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 → 149
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
14.0ms
(- (* b b) (* (* c a) 4.0))
119.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
80.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series487.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
80.0ms
(- (* b b) (* (* c a) 4.0))
180.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
122.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.1s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

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

prune83.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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
pow1 clear-num frac-2neg add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
15.0ms
(/ (* a c) b)
31.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* a c) b)
46.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.6s

Counts
79 → 79
Iterations
IterNodes
done5002
22917
1460
0167

prune582.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
757×times-frac
377×add-sqr-sqrt
319×*-un-lft-identity add-cube-cbrt
185×sqrt-prod
154×associate-*r*
70×add-cbrt-cube add-exp-log
57×div-inv
35×cbrt-undiv div-exp
29×associate-/l*
22×associate-*l*
15×associate-/r* unswap-sqr
14×prod-exp cbrt-unprod
pow1
add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 483
Calls
4 calls:
15.0ms
(/ (* a c) b)
6.0ms
(/ -2.0 (sqrt a))
23.0ms
(/ (/ (/ (* a c) b) 2.0) (sqrt a))
183.0ms
(* (/ -2.0 (sqrt a)) (/ (/ (/ (* a c) b) 2.0) (sqrt a)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* a c) b)
70.0ms
(/ -2.0 (sqrt a))
111.0ms
(/ (/ (/ (* a c) b) 2.0) (sqrt a))
95.0ms
(* (/ -2.0 (sqrt a)) (/ (/ (/ (* a c) b) 2.0) (sqrt a)))

simplify1.8s

Counts
495 → 495
Iterations
IterNodes
done5001
12178
0666

prune2.9s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

regimes664.0ms

Accuracy

0% (3.5b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.6s3668×body320valid
705.0ms16006×pre80true
656.0ms8006×body80nan
555.0ms916×body80valid
433.0ms2913×body160valid
252.0ms503×body640valid