Details

Time bar (total: 28.0s)

sample133.0ms

Algorithm
intervals
Results
28.0ms159×body160valid
25.0ms549×pre80true
24.0ms293×body80nan
21.0ms48×body80valid
13.0ms49×body320valid

simplify135.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
39.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite165.0ms

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:
15.0ms
(- (* b b) (* (* 3 a) c))
26.0ms
(* (* 3 a) c)
77.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
44.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series346.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* b b) (* (* 3 a) c))
36.0ms
(* (* 3 a) c)
115.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
121.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.4s

Counts
91 → 91
Iterations
IterNodes
36170
21501
1422
0158

prune821.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.5b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune44.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite43.0ms

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:
13.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series93.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (* a c) b)
43.0ms
(* -3/2 (/ (* a c) b))
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.3s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune533.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 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)))

rewrite231.0ms

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)
83.0ms
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
107.0ms
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
29.0ms
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* a c) b)
98.0ms
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
73.0ms
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
73.0ms
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify508.0ms

Counts
151 → 151
Iterations
IterNodes
22007
1472
0190

prune799.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.5b

regimes877.0ms

Accuracy

9.4% (6.2b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 11.8b

bsearch24.0ms

Steps
ItersRangePoint
2
0.11906653961437699
0.12902613394488163
0.12005985553413497

simplify6.0ms

Iterations
IterNodes
235
135
025

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.7s4814×body160valid
1.4s8245×body80nan
993.0ms16245×pre80true
558.0ms1395×body320valid
194.0ms1791×body80valid