Details

Time bar (total: 15.3s)

sample179.0ms

Algorithm
intervals
Results
46.0ms497×pre80true
44.0ms127×body320valid
28.0ms241×body80nan
20.0ms89×body160valid
7.0ms15×body640valid
3.0ms25×body80valid

simplify161.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize41.0ms

Local error

Found 4 expressions with local error:

26.8b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.2b
(* (* 3 a) c)
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt fma-def add-cube-cbrt add-log-exp
pow1
distribute-rgt-neg-in distribute-lft-out
times-frac associate-/l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
distribute-lft-neg-in associate-*r* pow-prod-down
neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
+-commutative clear-num associate-/r* neg-mul-1 sub-neg frac-2neg flip3-- fma-neg diff-log div-sub associate-*l* prod-diff neg-log *-commutative div-inv flip--
Counts
4 → 97
Calls
4 calls:
Slowest
51.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.0ms
(* (* 3 a) c)
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
8.0ms
(- (* b b) (* (* 3 a) c))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
115.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
72.0ms
(- (* b b) (* (* 3 a) c))
31.0ms
(* (* 3 a) c)

simplify639.0ms

Counts
109 → 109

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

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

prune55.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 87
Calls
3 calls:
Slowest
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
20.0ms
(/ (* a c) b)
16.0ms
(* -3/2 (/ (* a c) b))

series81.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
38.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
22.0ms
(/ (* a c) b)

simplify643.0ms

Counts
96 → 96

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
0.3b
(* -3/2 (/ a (/ b c)))
0.3b
(/ a (/ b c))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
pow1
associate-/l*
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
clear-num frac-2neg associate-*r/ associate-/r/
pow-prod-down *-commutative associate-/l/
Counts
3 → 175
Calls
3 calls:
Slowest
24.0ms
(* -3/2 (/ a (/ b c)))
16.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
9.0ms
(/ a (/ b c))

series106.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(* -3/2 (/ a (/ b c)))
30.0ms
(/ a (/ b c))
22.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify912.0ms

Counts
184 → 184

prune2.1s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.4b

regimes957.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.9s3609×body320valid
1.6s8015×body80nan
965.0ms16015×pre80true
731.0ms2949×body160valid
316.0ms554×body640valid
102.0ms888×body80valid