Details

Time bar (total: 25.5s)

sample142.0ms

Algorithm
intervals
Results
37.0ms186×body80valid
35.0ms37×body2560valid
21.0ms28×body1280valid
12.0ms91×body80nan
11.0ms19×body640valid
5.0ms11×body320valid
1.0ms3×body160valid

simplify164.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
0.6b
(- (* b b) (* 4 (* a c)))
1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite89.0ms

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:
56.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
9.0ms
(- (* b b) (* 4 (* a c)))
15.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
78.0ms
(- (* b b) (* 4 (* a c)))
131.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
101.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify2.3s

Counts
93 → 93
Iterations
IterNodes
34255
21194
1398
0154

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
0.6b
(- (* b b) (* 4 (* a c)))
1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite99.0ms

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:
53.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
14.0ms
(- (* b b) (* 4 (* a c)))
23.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
8.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
83.0ms
(- (* b b) (* 4 (* a c)))
141.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
110.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify2.3s

Counts
93 → 93
Iterations
IterNodes
34255
21194
1398
0154

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
0.6b
(- (* b b) (* 4 (* a c)))
1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
13×associate-*r* add-cube-cbrt
10×times-frac add-log-exp
9×add-cbrt-cube add-exp-log
7×pow1 associate-*l*
5×flip3-- sqrt-prod flip--
4×insert-posit16 distribute-lft-out-- difference-of-squares
3×diff-log
2×frac-times sub-neg distribute-rgt-neg-in sqrt-div associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down neg-log associate-*r/ *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
92.0ms
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
17.0ms
(- (* b b) (* 4 (* a c)))
30.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
15.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
80.0ms
(- (* b b) (* 4 (* a c)))
124.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
99.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify3.3s

Counts
101 → 101
Iterations
IterNodes
35724
21456
1448
0177

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite79.0ms

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:
38.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
16.0ms
(sqrt (- (* b b) (* 4 (* a c))))
15.0ms
(sqrt (- (* b b) (* 4 (* a c))))
8.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
122.0ms
(sqrt (- (* b b) (* 4 (* a c))))
103.0ms
(sqrt (- (* b b) (* 4 (* a c))))
113.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify4.6s

Counts
79 → 79
Iterations
IterNodes
46295
31974
2623
1210
087

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 6.0b

regimes621.0ms

Accuracy

79.7% (5.7b remaining)

Error of 11.2b against oracle of 5.5b and baseline of 33.6b

bsearch284.0ms

Steps
ItersRangePoint
8
6.45623811977989e+97
1.5556153764929518e+101
1.9396144761399596e+100
10
-1.305087172727865e-183
-3.833210530916389e-194
-1.2890050783826923e-183

simplify4.0ms

Iterations
IterNodes
229
129
025

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s1101×body2560valid
950.0ms5836×body80valid
749.0ms915×body1280valid
539.0ms194×body320valid
405.0ms2978×body80nan
259.0ms500×body640valid
167.0ms106×body5120valid
30.0ms117×body160valid