Details

Time bar (total: 6.8s)

sample58.0ms

Algorithm
intervals
Results
12.0ms122×body320valid
11.0ms252×body80nan
9.0ms508×pre80true
6.0ms86×body160valid
1.0ms37×body80valid
1.0ms11×body640valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12517
24516
38716
410616
511416
done11416

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
27.2b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite76.0ms

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-exp-log add-cbrt-cube
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv flip3-- div-exp associate-/r* flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 183
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
38.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
22.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series311.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
50.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
83.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.2s

Counts
195 → 195
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03214967
17804592
230174265
done50014264

prune503.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.6b

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

prune45.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
10.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
3.0ms
(/ (* a c) b)

series40.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
19.0ms
(/ (* a c) b)

simplify751.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
01711200
14591154
22303992
done5001992

prune214.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
0.4b
(* (* a c) (/ 1 b))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
47×add-cbrt-cube
42×times-frac
33×prod-exp
29×div-exp
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-undiv cbrt-unprod
13×associate-*r*
pow1 associate-/l*
div-inv
rec-exp 1-exp
pow-prod-down associate-/r*
expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num un-div-inv *-commutative associate-/l/
Counts
2 → 102
Calls
2 calls:
25.0ms
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
11.0ms
(* (* a c) (/ 1 b))

series44.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
23.0ms
(* (* a c) (/ 1 b))

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
02301768
16831459
233161179
done50001179

prune169.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

regimes259.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.6s

Algorithm
intervals
Results
372.0ms3675×body320valid
289.0ms15994×pre80true
261.0ms7994×body80nan
199.0ms2959×body160valid
66.0ms473×body640valid
32.0ms893×body80valid