Details

Time bar (total: 13.8s)

sample186.0ms

Algorithm
intervals
Results
63.0ms124×body320valid
33.0ms292×body80nan
30.0ms548×pre80true
20.0ms89×body160valid
9.0ms21×body640valid
3.0ms22×body80valid

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
23.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3 a) c))
83.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
18.0ms
(* (* 3 a) c)
49.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series333.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* b b) (* (* 3 a) c))
132.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms
(* (* 3 a) c)
96.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.5s

Counts
91 → 91
Iterations
IterNodes
done5001
21457
1423
0158

prune528.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune43.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
9.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series103.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
50.0ms
(* -3/2 (/ (* a c) b))
31.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5010
22261
1382
0126

prune393.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
0.4b
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
0.5b
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
34×sqrt-prod
32×add-sqr-sqrt
24×pow1
19×*-un-lft-identity add-cube-cbrt
16×times-frac
14×prod-exp cbrt-unprod
13×associate-*l*
12×sqrt-div swap-sqr
11×associate-*r*
9×associate-*r/
8×cbrt-undiv sqrt-pow1 pow1/2 div-exp
6×pow-prod-down div-inv
5×pow-prod-up unswap-sqr
4×associate-/r* insert-posit16 add-log-exp
3×frac-times associate-*l/ pow-sqr associate-/l/
2×clear-num frac-2neg *-commutative associate-/l*
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 139
Calls
4 calls:
9.0ms
(/ (* a c) b)
86.0ms
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
82.0ms
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
34.0ms
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* a c) b)
106.0ms
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
73.0ms
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
81.0ms
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify1.3s

Counts
151 → 151
Iterations
IterNodes
done5001
22090
1486
0190

prune582.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.0b

regimes558.0ms

Accuracy

0% (3.2b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.5s8002×body80nan
1.4s16002×pre80true
1.4s3661×body320valid
660.0ms2982×body160valid
320.0ms514×body640valid
95.0ms843×body80valid