Details

Time bar (total: 15.0s)

sample162.0ms

Algorithm
intervals
Results
42.0ms125×body320valid
27.0ms511×pre80true
26.0ms255×body80nan
18.0ms83×body160valid
17.0ms28×body80valid
8.0ms20×body640valid

simplify104.0ms

Counts
1 → 1
Iterations
IterNodes
done109
5109
4101
380
242
121
012

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
23.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite172.0ms

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:
7.0ms
(- (* b b) (* (* 3 a) c))
104.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
16.0ms
(* (* 3 a) c)
44.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series376.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (* b b) (* (* 3 a) c))
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0ms
(* (* 3 a) c)
115.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.2s

Counts
91 → 91
Iterations
IterNodes
done5002
22509
1432
0158

prune554.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune29.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.5b

localize22.0ms

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))

rewrite60.0ms

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:
20.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series100.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
36.0ms
(* -3/2 (/ (* a c) b))
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.7s

Counts
90 → 90
Iterations
IterNodes
done5001
22765
1402
0126

prune374.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt (* (* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b)) -27/8)) (* 3 a))
0.4b
(* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b))
0.5b
(* (/ (* c a) b) (/ (* c a) b))
0.7b
(cbrt (* (* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b)) -27/8))

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
216×add-exp-log
214×add-cbrt-cube
101×prod-exp cbrt-unprod
70×cbrt-undiv div-exp
30×pow1 associate-*l/
19×add-sqr-sqrt times-frac
16×frac-times *-un-lft-identity add-cube-cbrt
14×cbrt-div associate-*r*
10×associate-*r/
8×associate-*l*
7×pow-plus swap-sqr pow-prod-up associate-/l/
6×div-inv
4×pow-prod-down insert-posit16 associate-/l* add-log-exp
3×cbrt-prod pow2 pow-sqr
2×*-commutative unswap-sqr
1×clear-num associate-/r* frac-2neg pow1/3 pow3
Counts
4 → 201
Calls
4 calls:
11.0ms
(/ (cbrt (* (* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b)) -27/8)) (* 3 a))
99.0ms
(* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b))
23.0ms
(* (/ (* c a) b) (/ (* c a) b))
437.0ms
(cbrt (* (* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b)) -27/8))

series418.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(/ (cbrt (* (* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b)) -27/8)) (* 3 a))
142.0ms
(* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b))
60.0ms
(* (/ (* c a) b) (/ (* c a) b))
101.0ms
(cbrt (* (* (* (/ (* c a) b) (/ (* c a) b)) (/ (* c a) b)) -27/8))

simplify1.2s

Counts
213 → 213
Iterations
IterNodes
done5000
1917
0267

prune742.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

regimes530.0ms

Accuracy

0% (3.4b 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

sample5.6s

Algorithm
intervals
Results
1.4s3672×body320valid
1.3s2939×body160valid
1.1s8237×body80nan
1.0s16237×pre80true
321.0ms493×body640valid
124.0ms896×body80valid