Details

Time bar (total: 14.8s)

sample146.0ms

Algorithm
intervals
Results
38.0ms150×body160valid
31.0ms267×body80nan
30.0ms523×pre80true
13.0ms106×body80valid

simplify142.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize56.0ms

Local error

Found 4 expressions with local error:

30.2b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)

rewrite117.0ms

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
60.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
25.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
16.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series372.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
127.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
59.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)

simplify701.0ms

Counts
109 → 109

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.5b

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

prune155.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.5b

localize32.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.2b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite60.0ms

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
25.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
16.0ms
(/ (* a c) b)

series95.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
38.0ms
(* -3/2 (/ (* a c) b))
33.0ms
(/ (* a c) b)
24.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify611.0ms

Counts
96 → 96

prune1.2s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
0.3b
(/ 1 (* 3 a))
0.2b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×rec-exp 1-exp
pow-prod-down
expm1-log1p-u associate-/r* associate-*l* associate-*r/ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
clear-num frac-2neg *-commutative pow-flip
frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 150
Calls
4 calls:
Slowest
72.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
25.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)
17.0ms
(/ 1 (* 3 a))

series153.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
56.0ms
(* -3/2 (/ (* a c) b))
38.0ms
(/ (* a c) b)
31.0ms
(/ 1 (* 3 a))
28.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))

simplify664.0ms

Counts
162 → 162

prune1.9s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.3b

regimes1.8s

Accuracy

58.8% (5.5b remaining)

Error of 14.7b against oracle of 9.3b and baseline of 22.6b

bsearch17.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s4492×body160valid
1.1s16694×pre80true
1.1s8694×body80nan
737.0ms3508×body80valid