Details

Time bar (total: 13.6s)

sample118.0ms

Algorithm
intervals
Results
29.0ms144×body160valid
20.0ms248×body80nan
19.0ms504×pre80true
9.0ms112×body80valid

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
17.0ms
(- (* b b) (* (* 3.0 a) c))
38.0ms
(* (* 3.0 a) c)
124.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
44.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* b b) (* (* 3.0 a) c))
30.0ms
(* (* 3.0 a) c)
155.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
111.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.0s

Counts
105 → 105
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01671559
14721480
227811251
done50011244

prune427.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune52.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
27.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* a c) b)
37.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* -1.5 (/ (* a c) b))
34.0ms
(/ (* a c) b)
29.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01291138
14011097
22854869
done5001853

prune340.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(* -1.5 (/ a (/ b c)))
0.3b
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
49×add-exp-log add-cbrt-cube
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
5×pow1
4×associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 172
Calls
3 calls:
10.0ms
(/ a (/ b c))
39.0ms
(* -1.5 (/ a (/ b c)))
30.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series127.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ a (/ b c))
53.0ms
(* -1.5 (/ a (/ b c)))
36.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify2.5s

Counts
181 → 181
Iterations

Useful iterations: 2 (815.0ms)

IterNodesCost
02722294
18132169
248781889
done50001889

prune633.0ms

Pruning

41 alts after pruning (41 fresh and 0 done)

Merged error: 9.6b

regimes1.2s

Accuracy

44% (7.9b remaining)

Error of 16.9b against oracle of 9.1b and baseline of 23.1b

bsearch4.0ms

Steps
ItersRangePoint
0
21693.08838059403
22389.62458407597
22041.356482335

simplify9.0ms

Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02546
13046
done3046

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.2s4424×body160valid
729.0ms8477×body80nan
623.0ms16477×pre80true
303.0ms3576×body80valid