Details

Time bar (total: 15.0s)

sample264.0ms

Algorithm
intervals
Results
50.0ms245×body80nan
41.0ms116×body320valid
27.0ms501×pre80true
19.0ms88×body160valid
9.0ms22×body640valid
4.0ms30×body80valid

simplify116.0ms

Counts
1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.1b

localize45.0ms

Local error

Found 4 expressions with local error:

25.2b
(- (sqrt (fma b b (* c (* -4 a)))) b)
0.1b
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
0.0b
(sqrt (fma b b (* c (* -4 a))))
0.0b
(fma b b (* c (* -4 a)))

rewrite59.0ms

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
31.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
17.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
2.0ms
(sqrt (fma b b (* c (* -4 a))))
0.0ms
(fma b b (* c (* -4 a)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
160.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
112.0ms
(sqrt (fma b b (* c (* -4 a))))
76.0ms
(fma b b (* c (* -4 a)))

simplify915.0ms

Counts
191 → 191

prune2.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize11.0ms

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

prune50.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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
34.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
9.0ms
(/ (* a c) b)

series65.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ (* a c) b)
25.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify631.0ms

Counts
85 → 85

prune763.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ (* a -2) (/ b c)) (/ 1/2 a))
0.3b
(/ (* a -2) (/ b c))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
63×times-frac
55×add-cbrt-cube add-exp-log
36×add-sqr-sqrt
31×*-un-lft-identity add-cube-cbrt
23×cbrt-undiv div-exp
18×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/r* associate-*r*
6×div-inv
4×pow1
2×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
2 → 117
Calls
2 calls:
Slowest
46.0ms
(* (/ (* a -2) (/ b c)) (/ 1/2 a))
22.0ms
(/ (* a -2) (/ b c))

series72.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(/ (* a -2) (/ b c))
23.0ms
(* (/ (* a -2) (/ b c)) (/ 1/2 a))

simplify807.0ms

Counts
123 → 123

prune1.1s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 2.9b

regimes566.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.6s3594×body320valid
1.5s16113×pre80true
1.2s8113×body80nan
1.0s2949×body160valid
279.0ms525×body640valid
155.0ms932×body80valid