Details

Time bar (total: 14.4s)

sample76.0ms

Algorithm
intervals
Results
24.0ms141×body160valid
11.0ms515×pre80true
11.0ms259×body80nan
5.0ms115×body80valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
28.1b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite321.0ms

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))
37.0ms
(* (* 3.0 a) c)
194.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
77.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series353.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
161.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
117.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.1s

Counts
121 → 121
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02012338
15442075
231201752
done50011750

prune413.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.6b

localize4.0ms

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

prune51.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:
24.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* a c) b)
27.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series137.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* -1.5 (/ (* a c) b))
38.0ms
(/ (* a c) b)
40.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01291138
14011097
22854869
done5001853

prune315.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.5b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

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:
65.0ms
(* -1.5 (/ a (/ b c)))
9.0ms
(/ a (/ b c))
22.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series136.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* -1.5 (/ a (/ b c)))
38.0ms
(/ a (/ b c))
40.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify2.5s

Counts
181 → 181
Iterations

Useful iterations: 2 (825.0ms)

IterNodesCost
02722294
18112169
248081889
done50001889

prune672.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.5b

regimes965.0ms

Accuracy

47.4% (7.5b remaining)

Error of 16.3b against oracle of 8.8b and baseline of 23.0b

bsearch29.0ms

Steps
ItersRangePoint
2
406.15385994033335
446.92134054799914
431.63353532012445

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02038
12438
done2438

end0.0ms

sample3.5s

Algorithm
intervals
Results
731.0ms8447×body80nan
707.0ms16447×pre80true
706.0ms3586×body80valid
563.0ms4414×body160valid