Details

Time bar (total: 12.4s)

sample122.0ms

Algorithm
intervals
Results
24.0ms120×body320valid
24.0ms96×body160valid
17.0ms517×pre80true
17.0ms261×body80nan
4.0ms14×body640valid
2.0ms26×body80valid

simplify174.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize25.0ms

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))
0.3b
(* (* 3.0 a) c)
25.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite253.0ms

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-exp-log add-cbrt-cube
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×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
130.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
84.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series415.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b b) (* (* 3.0 a) c))
163.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
34.0ms
(* (* 3.0 a) c)
142.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.9s

Counts
121 → 121
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02012338
14952065
216751747
done50001676

prune428.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.5b

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

prune57.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite74.0ms

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:
10.0ms
(/ (* a c) b)
22.0ms
(* -1.5 (/ (* a c) b))
39.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series115.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* a c) b)
56.0ms
(* -1.5 (/ (* a c) b))
34.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
01291138
13531097
21740813
done5000813

prune283.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ a (/ b c))
0.3b
(* -1.5 (/ a (/ b c)))
0.4b
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite116.0ms

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:
18.0ms
(/ a (/ b c))
42.0ms
(* -1.5 (/ a (/ b c)))
38.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series101.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ a (/ b c))
42.0ms
(* -1.5 (/ a (/ b c)))
28.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify1.4s

Counts
181 → 181
Iterations

Useful iterations: 2 (535.0ms)

IterNodesCost
02722294
16692127
226591833
done50001833

prune708.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 2.4b

regimes757.0ms

Accuracy

4% (3.5b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.3b

bsearch98.0ms

Steps
ItersRangePoint
8
3.0026527018200954e-17
2.4173674189391156e-14
3.0547987684067384e-17

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02238
12838
done2838

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.5s3623×body320valid
666.0ms16232×pre80true
592.0ms8232×body80nan
553.0ms2910×body160valid
132.0ms529×body640valid
56.0ms938×body80valid