Details

Time bar (total: 29.1s)

sample103.0ms

Algorithm
intervals
Results
27.0ms144×body160valid
21.0ms274×body80nan
20.0ms530×pre80true
13.0ms51×body320valid
5.0ms61×body80valid

simplify103.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
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))
14.0ms
(* (* 3 a) c)
78.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series397.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* b b) (* (* 3 a) c))
37.0ms
(* (* 3 a) c)
162.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
122.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.5s

Counts
91 → 91
Iterations
IterNodes
36170
21501
1422
0158

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.1b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune64.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.1b

localize26.0ms

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))

rewrite51.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
17.0ms
(/ (* a c) b)
13.0ms
(* -3/2 (/ (* a c) b))
19.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* a c) b)
31.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.4s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune789.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod
associate-*l* associate-/l*
associate-*r/ insert-posit16 div-inv add-log-exp unswap-sqr
clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 58
Calls
2 calls:
17.0ms
(* 3 (/ b c))
22.0ms
(/ -3/2 (* 3 (/ b c)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* 3 (/ b c))
21.0ms
(/ -3/2 (* 3 (/ b c)))

simplify1.2s

Counts
64 → 64
Iterations
IterNodes
32548
2703
1265
0108

prune397.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.0b

regimes814.0ms

Accuracy

3.3% (6.3b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 11.5b

bsearch145.0ms

Steps
ItersRangePoint
1
1.3546780925209572
1.423268353397928
1.3718256577401997
3
0.012612623406321986
0.015300384142464521
0.015132399096455612
4
3.731177818161713e-05
7.441032871518307e-05
3.826212081602258e-05

simplify12.0ms

Iterations
IterNodes
450
350
247
144
031

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.5s8060×body80nan
1.4s16060×pre80true
1.4s4893×body160valid
565.0ms1393×body320valid
260.0ms1714×body80valid