Details

Time bar (total: 13.5s)

sample140.0ms

Algorithm
intervals
Results
39.0ms152×body160valid
30.0ms244×body80nan
27.0ms500×pre80true
20.0ms104×body80valid

simplify145.0ms

Counts
1 → 1

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.2b

localize28.0ms

Local error

Found 4 expressions with local error:

30.1b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
0.3b
(- (* b b) (* (* 4 a) c))
0.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×fma-def add-cube-cbrt add-log-exp
9×add-cbrt-cube add-exp-log
6×distribute-rgt-neg-in distribute-lft-out
5×pow1 times-frac associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in sqrt-prod
2×neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-/r* neg-mul-1 sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 94
Calls
4 calls:
Slowest
62.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
14.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
10.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms
(- (* b b) (* (* 4 a) c))

series481.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
190.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
129.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
93.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
70.0ms
(- (* b b) (* (* 4 a) c))

simplify2.3s

Counts
106 → 106

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.4b

localize8.0ms

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

prune62.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 57
Calls
2 calls:
Slowest
22.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
9.0ms
(/ (* a c) b)

series57.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
30.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
27.0ms
(/ (* a c) b)

simplify489.0ms

Counts
63 → 63

prune534.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.3b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
120×add-exp-log
70×add-cbrt-cube
64×prod-exp
34×cbrt-unprod
32×div-exp
18×cbrt-undiv
13×associate-*r*
10×times-frac
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
6×rec-exp 1-exp
4×associate-*r/
3×pow-prod-down
2×expm1-log1p-u un-div-inv insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 91
Calls
2 calls:
Slowest
52.0ms
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))
28.0ms
(* (* a c) (/ 1 b))

series50.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
29.0ms
(* (* a c) (/ 1 b))
21.0ms
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))

simplify815.0ms

Counts
97 → 97

prune692.0ms

Pruning

27 alts after pruning (25 fresh and 2 done)

Merged error: 8.3b

regimes931.0ms

Accuracy

44.8% (7.4b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 22.6b

bsearch32.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.8s4516×body160valid
1.2s8804×body80nan
1.1s16804×pre80true
453.0ms3484×body80valid