Details

Time bar (total: 17.5s)

sample109.0ms

Algorithm
intervals
Results
26.0ms29×body2560valid
25.0ms191×body80valid
15.0ms22×body1280valid
10.0ms77×body80nan
5.0ms11×body640valid
4.0ms4×body5120valid
3.0ms9×body320valid
2.0ms6×body160valid

simplify133.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize28.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
1.4b
(- (* b b) (* (* 4 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
Slowest
77.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
44.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
16.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms
(- (* b b) (* (* 4 a) c))

series443.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
178.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
111.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
96.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
58.0ms
(- (* b b) (* (* 4 a) c))

simplify1.9s

Counts
88 → 88

prune979.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize48.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
1.4b
(- (* b b) (* (* 4 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
Slowest
74.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
50.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms
(- (* b b) (* (* 4 a) c))

series423.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
129.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
89.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
77.0ms
(- (* b b) (* (* 4 a) c))

simplify1.5s

Counts
88 → 88

prune827.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize30.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
1.4b
(- (* b b) (* (* 4 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
17×*-un-lft-identity
13×associate-*r* add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×pow1
6×associate-*l*
5×flip3-- sqrt-prod flip--
4×insert-posit16 difference-of-squares
2×frac-times sub-neg sqrt-div diff-log associate-*l/ prod-exp cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*r/ *-commutative div-inv
Counts
4 → 85
Calls
4 calls:
Slowest
115.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))
52.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
11.0ms
(- (* b b) (* (* 4 a) c))
11.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))
99.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
75.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
49.0ms
(- (* b b) (* (* 4 a) c))

simplify2.3s

Counts
97 → 97

prune918.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.7b

localize43.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
1.4b
(- (* b b) (* (* 4 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b
(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* 4 a) c))) b)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
47×add-sqr-sqrt
36×*-un-lft-identity
26×add-cube-cbrt
25×add-exp-log
13×add-cbrt-cube
12×associate-/r* div-exp
10×difference-of-squares
9×associate-/r/
8×sqrt-prod add-log-exp
7×flip3-- flip--
6×pow1
5×cbrt-undiv div-inv distribute-lft-out--
4×insert-posit16
3×rec-exp 1-exp prod-exp associate-/l*
2×sub-neg sqrt-div diff-log
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 cbrt-unprod pow-flip inv-pow
Counts
4 → 122
Calls
4 calls:
Slowest
73.0ms
(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
51.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(- (* b b) (* (* 4 a) c))

series476.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
171.0ms
(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
138.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
96.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
71.0ms
(- (* b b) (* (* 4 a) c))

simplify700.0ms

Counts
134 → 134

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.7b

regimes295.0ms

Accuracy

81.9% (4.9b remaining)

Error of 10.6b against oracle of 5.7b and baseline of 33.0b

bsearch155.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
943.0ms5845×body80valid
924.0ms1114×body2560valid
688.0ms2891×body80nan
621.0ms847×body1280valid
252.0ms415×body640valid
125.0ms123×body5120valid
116.0ms246×body320valid
65.0ms137×body160valid