Details

Time bar (total: 17.2s)

sample123.0ms

Algorithm
intervals
Results
28.0ms116×body320valid
20.0ms258×body80nan
19.0ms514×pre80true
16.0ms101×body160valid
3.0ms10×body640valid
2.0ms29×body80valid

simplify127.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
012324
122324
242284
383284
4112284
5120284
done120284

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
27.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-cbrt-cube add-exp-log
9×pow1
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- associate-*r* pow-prod-down 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 → 109
Calls
4 calls:
13.0ms
(- (* b b) (* (* 3.0 a) c))
113.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
26.0ms
(* (* 3.0 a) c)
78.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series398.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (* b b) (* (* 3.0 a) c))
168.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.0ms
(* (* 3.0 a) c)
111.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.2s

Counts
121 → 121
Iterations

Useful iterations: done (3.2s)

IterNodesCost
020141813
154337326
2315333217
done500033167

prune625.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune65.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize29.0ms

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))

rewrite78.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 84
Calls
3 calls:
20.0ms
(* -1.5 (/ (* a c) b))
14.0ms
(/ (* a c) b)
40.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series110.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* -1.5 (/ (* a c) b))
40.0ms
(/ (* a c) b)
30.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: done (2.4s)

IterNodesCost
012922055
140119651
2284419251
done500117731

prune501.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 2.7b

localize28.0ms

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))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
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×clear-num frac-2neg associate-*r/ associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 172
Calls
3 calls:
14.0ms
(/ a (/ b c))
50.0ms
(* -1.5 (/ a (/ b c)))
32.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series113.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ a (/ b c))
49.0ms
(* -1.5 (/ a (/ b c)))
38.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify3.1s

Counts
181 → 181
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
027249939
181345542
2489543396
done500043396

prune979.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 2.7b

regimes1.1s

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1683
done683

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s8285×body80nan
905.0ms3647×body320valid
582.0ms16285×pre80true
497.0ms2970×body160valid
163.0ms497×body640valid
56.0ms886×body80valid