Details

Time bar (total: 31.5s)

sample171.0ms

Algorithm
intervals
Results
56.0ms263×body80nan
39.0ms141×body160valid
31.0ms519×pre80true
16.0ms115×body80valid

simplify121.0ms

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.1b

localize28.0ms

Local error

Found 4 expressions with local error:

29.1b
(- (sqrt (fma b b (* c (* -4 a)))) b)
0.3b
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
0.1b
(sqrt (fma b b (* c (* -4 a))))
0.0b
(fma b b (* c (* -4 a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
18×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
6×fma-neg add-log-exp
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* div-exp
2×div-sub
1×rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 flip3-- pow1/2 diff-log fma-udef flip-- associate-/l/
Counts
4 → 179
Calls
4 calls:
Slowest
16.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
8.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
1.0ms
(sqrt (fma b b (* c (* -4 a))))
0.0ms
(fma b b (* c (* -4 a)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
125.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
116.0ms
(sqrt (fma b b (* c (* -4 a))))
88.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
77.0ms
(fma b b (* c (* -4 a)))

simplify436.0ms

Counts
282 → 191

prune2.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 8.0b

localize10.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune171.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(/ (/ (* -2 (/ (* a c) b)) 2) a)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 79
Calls
2 calls:
Slowest
39.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
12.0ms
(/ (* a c) b)

series51.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
27.0ms
(/ (* a c) b)
24.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify819.0ms

Counts
111 → 85

prune789.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 7.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ -2 1) (/ a (/ (/ (* a c) b) 2)))
0.2b
(/ (* a c) b)
0.2b
(/ a (/ (/ (* a c) b) 2))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
4277×times-frac
1606×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
282×div-inv
108×associate-/r*
87×add-exp-log
67×add-cbrt-cube
63×div-exp
44×cbrt-undiv
17×associate-/l*
16×associate-/r/
5×1-exp prod-exp
4×cbrt-unprod
3×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
3 → 1322
Calls
3 calls:
Slowest
24.0ms
(/ a (/ (/ (* a c) b) 2))
19.0ms
(/ (* a c) b)
16.0ms
(/ (/ -2 1) (/ a (/ (/ (* a c) b) 2)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
37.0ms
(/ a (/ (/ (* a c) b) 2))
36.0ms
(/ (* a c) b)
28.0ms
(/ (/ -2 1) (/ a (/ (/ (* a c) b) 2)))

simplify6.4s

Counts
2452 → 1331

prune13.5s

Pruning

47 alts after pruning (47 fresh and 0 done)

Merged error: 7.9b

regimes1.2s

Accuracy

42.6% (7.9b remaining)

Error of 16.8b against oracle of 8.9b and baseline of 22.7b

bsearch48.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.4s16539×pre80true
1.2s4484×body160valid
987.0ms8539×body80nan
499.0ms3516×body80valid