Details

Time bar (total: 12.8s)

sample380.0ms

Algorithm
intervals
Results
86.0ms102×body320valid
44.0ms277×body80nan
38.0ms533×pre80true
34.0ms115×body160valid
11.0ms17×body640valid
3.0ms22×body80valid

simplify167.0ms

Counts
1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.2b

localize60.0ms

Local error

Found 4 expressions with local error:

30.4b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.1b
(- (* b b) (* (* 4 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
0.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×fma-def add-cube-cbrt add-log-exp
add-cbrt-cube add-exp-log
distribute-rgt-neg-in distribute-lft-out
pow1 times-frac associate-/l*
expm1-log1p-u insert-posit16 log1p-expm1-u
distribute-lft-neg-in sqrt-prod
neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
+-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
100.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
34.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
19.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms
(- (* b b) (* (* 4 a) c))

series523.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
158.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
103.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
81.0ms
(- (* b b) (* (* 4 a) c))

simplify607.0ms

Counts
110 → 106

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize15.0ms

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

prune29.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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

series42.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
22.0ms
(/ (* a c) b)
20.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify543.0ms

Counts
69 → 63

prune572.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r*
add-exp-log
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
add-cbrt-cube associate-/r/ distribute-neg-frac associate-/l*
pow1 div-exp
expm1-log1p-u frac-times cbrt-undiv rec-exp clear-num frac-2neg 1-exp associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u div-inv pow-flip inv-pow add-log-exp
Counts
1 → 49
Calls
1 calls:
Slowest
6.0ms
(/ 1 (- (* (/ a a) (/ b c))))

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
31.0ms
(/ 1 (- (* (/ a a) (/ b c))))

simplify791.0ms

Counts
70 → 52

prune354.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.5b

regimes537.0ms

Accuracy

0% (3.3b remaining)

Error of 6.0b against oracle of 2.7b and baseline of 6.0b

bsearch2.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
1.8s3698×body320valid
1.3s2911×body160valid
1.2s8296×body80nan
995.0ms16296×pre80true
566.0ms870×body80valid
452.0ms521×body640valid