Details

Time bar (total: 26.1s)

sample142.0ms

Algorithm
intervals
Results
51.0ms183×body80valid
27.0ms31×body2560valid
24.0ms36×body1280valid
10.0ms88×body80nan
6.0ms11×body640valid
3.0ms8×body320valid
2.0ms2×body5120valid
1.0ms3×body160valid

simplify121.0ms

Counts
1 → 1
Iterations
IterNodes
8134
7134
6132
5129
4126
3103
262
128
014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0b
(- (* b b) (* 4 (* a c)))
1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube add-exp-log
7×times-frac add-cube-cbrt associate-/l*
6×sqrt-prod distribute-lft-out-- difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-rgt-neg-in diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 81
Calls
4 calls:
42.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
8.0ms
(- (* b b) (* 4 (* a c)))
30.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
9.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
62.0ms
(- (* b b) (* 4 (* a c)))
116.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
90.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify2.1s

Counts
93 → 93
Iterations
IterNodes
34255
21194
1398
0154

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0b
(- (* b b) (* 4 (* a c)))
1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube add-exp-log
7×times-frac add-cube-cbrt associate-/l*
6×sqrt-prod distribute-lft-out-- difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-rgt-neg-in diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 81
Calls
4 calls:
60.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
8.0ms
(- (* b b) (* 4 (* a c)))
26.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
15.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
72.0ms
(- (* b b) (* 4 (* a c)))
106.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
110.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify2.5s

Counts
93 → 93
Iterations
IterNodes
34255
21194
1398
0154

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.4b

localize59.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×*-un-lft-identity
10×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt
6×sqrt-div
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg distribute-rgt-neg-in neg-log
Counts
4 → 67
Calls
4 calls:
15.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))
9.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
90.0ms
(sqrt (- (* b b) (* 4 (* a c))))
85.0ms
(sqrt (- (* b b) (* 4 (* a c))))
79.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify4.0s

Counts
79 → 79
Iterations
IterNodes
46295
31974
2623
1210
087

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.4b

localize42.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))
21.0b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×*-un-lft-identity
10×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt
6×sqrt-div
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg distribute-rgt-neg-in neg-log
Counts
4 → 67
Calls
4 calls:
20.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))
12.0ms
(sqrt (- (* b b) (* 4 (* a c))))
10.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
96.0ms
(sqrt (- (* b b) (* 4 (* a c))))
87.0ms
(sqrt (- (* b b) (* 4 (* a c))))
91.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify4.3s

Counts
79 → 79
Iterations
IterNodes
46295
31974
2623
1210
087

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.4b

regimes460.0ms

Accuracy

81.1% (5.2b remaining)

Error of 10.7b against oracle of 5.5b and baseline of 33.1b

bsearch565.0ms

Steps
ItersRangePoint
9
1.7155709022758137e+74
7.648947555279674e+80
7.377921431051488e+75
10
-5.748517768285075e-159
-5.469432343389951e-172
-4.884190020998732e-159
8
-2.6710027588265904e-98
-8.066445726472055e-102
-9.861592941135515e-102
8
-2.1713506125136832e-64
-5.235448662345934e-68
-2.7503548021140933e-65

simplify6.0ms

Iterations
IterNodes
235
135
031

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.7s1092×body2560valid
1.2s866×body1280valid
930.0ms5873×body80valid
366.0ms2901×body80nan
303.0ms418×body640valid
144.0ms107×body5120valid
132.0ms238×body320valid
71.0ms127×body160valid