Details

Time bar (total: 13.6s)

sample147.0ms

Algorithm
intervals
Results
35.0ms142×body160valid
34.0ms281×body80nan
34.0ms537×pre80true
15.0ms114×body80valid

simplify141.0ms

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize21.0ms

Local error

Found 4 expressions with local error:

29.0b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite504.0ms

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
407.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
75.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
13.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series348.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
145.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
106.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
74.0ms
(- (* b b) (* (* 3 a) c))
21.0ms
(* (* 3 a) c)

simplify2.3s

Counts
91 → 91

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.4b

localize12.0ms

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

prune92.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.4b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

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
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
24.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* a c) b)

series100.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
42.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
36.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* a c) b)

simplify633.0ms

Counts
90 → 90

prune850.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.3b

localize14.0ms

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)

rewrite63.0ms

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
27.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
19.0ms
(* -3/2 (* a c))
16.0ms
(/ (* -3/2 (* a c)) b)

series108.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
47.0ms
(/ (* -3/2 (* a c)) b)
30.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
30.0ms
(* -3/2 (* a c))

simplify493.0ms

Counts
95 → 95

prune700.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.3b

regimes1.2s

Accuracy

45.2% (7.5b remaining)

Error of 16.5b against oracle of 9.0b and baseline of 22.6b

bsearch32.0ms

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.1s4483×body160valid
995.0ms16690×pre80true
982.0ms8690×body80nan
515.0ms3517×body80valid