Details

Time bar (total: 14.0s)

sample152.0ms

Algorithm
intervals
Results
50.0ms109×body320valid
25.0ms491×pre80true
22.0ms235×body80nan
21.0ms105×body160valid
5.0ms16×body640valid
2.0ms26×body80valid

simplify165.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.9b

localize29.0ms

Local error

Found 4 expressions with local error:

29.6b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
118.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
60.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
26.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series366.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
134.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
51.0ms
(- (* b b) (* (* 3 a) c))
29.0ms
(* (* 3 a) c)

simplify2.3s

Counts
91 → 91

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

localize13.0ms

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

prune54.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
25.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
10.0ms
(/ (* a c) b)

series109.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
50.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify471.0ms

Counts
90 → 90

prune781.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.6b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
16×times-frac prod-exp cbrt-unprod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×pow1 associate-/l*
4×associate-/r* div-inv
3×associate-*l* pow-prod-down insert-posit16 add-log-exp
2×clear-num frac-2neg
1×associate-*r* *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
Slowest
31.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
24.0ms
(/ (* -3/2 (* a c)) b)
12.0ms
(* -3/2 (* a c))

series82.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(/ (* -3/2 (* a c)) b)
28.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
22.0ms
(* -3/2 (* a c))

simplify476.0ms

Counts
95 → 95

prune703.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.6b

regimes444.0ms

Accuracy

0% (3.5b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch2.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.8s3653×body320valid
1.6s8027×body80nan
1.1s16027×pre80true
915.0ms2927×body160valid
257.0ms525×body640valid
113.0ms895×body80valid