Details

Time bar (total: 14.6s)

sample64.0ms

Algorithm
intervals
Results
11.0ms36×body2560valid
11.0ms189×body80valid
6.0ms25×body1280valid
6.0ms104×body80nan
3.0ms16×body640valid
1.0ms2×body5120valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify172.0ms

Counts
1 → 1
Iterations
IterNodes
done140
7140
6138
5135
4132
3113
262
129
014

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.7b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.8b
(- (* b b) (* 4.0 (* a c)))
26.2b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt prod-diff
60×*-un-lft-identity
48×add-cube-cbrt
36×sqrt-prod
24×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
9×add-cbrt-cube add-exp-log
7×neg-mul-1 times-frac associate-/l*
6×distribute-lft-out-- difference-of-squares
5×pow1
4×expm1-log1p-u flip3-- log1p-expm1-u flip--
3×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 → 157
Calls
4 calls:
65.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
28.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
7.0ms
(- (* b b) (* 4.0 (* a c)))
9.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
136.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
62.0ms
(- (* b b) (* 4.0 (* a c)))
111.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify1.6s

Counts
169 → 169
Iterations
IterNodes
done5004
21789
1600
0241

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
0.7b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.8b
(- (* b b) (* 4.0 (* a c)))
26.2b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
61×prod-diff
60×add-sqr-sqrt
57×*-un-lft-identity
49×add-cube-cbrt
35×sqrt-prod
23×distribute-rgt-neg-in add-exp-log
21×distribute-lft-neg-in
13×add-cbrt-cube
11×fma-neg
10×prod-exp add-log-exp
7×pow1 neg-mul-1 associate-*r* associate-*l*
5×flip3-- flip--
4×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- difference-of-squares
3×times-frac diff-log
2×frac-times cbrt-undiv rec-exp sub-neg sqrt-div 1-exp associate-*l/
1×associate--l- neg-sub0 rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down neg-log associate-*r/ un-div-inv *-commutative div-inv unswap-sqr
Counts
4 → 165
Calls
4 calls:
144.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
43.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
7.0ms
(- (* b b) (* 4.0 (* a c)))
9.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
102.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
77.0ms
(- (* b b) (* 4.0 (* a c)))
102.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify2.1s

Counts
177 → 177
Iterations
IterNodes
done5004
21964
1664
0267

prune911.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (+ (sqrt (- (* b b) (* (* c 4.0) a))) b)) (* 2.0 a))
0.7b
(+ (sqrt (- (* b b) (* (* c 4.0) a))) b)
0.8b
(- (* b b) (* (* c 4.0) a))
26.2b
(sqrt (- (* b b) (* (* c 4.0) a)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac associate-/l*
9×add-cbrt-cube add-exp-log
8×distribute-lft-neg-in distribute-rgt-neg-in add-log-exp
6×fma-def sqrt-prod
5×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv neg-mul-1 flip3-+ flip3-- sqrt-div div-exp flip-+ flip-- distribute-neg-frac associate-/l/
1×neg-sub0 +-commutative rem-sqrt-square clear-num associate-/r* sum-log sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff prod-exp distribute-frac-neg cbrt-unprod div-inv
Counts
4 → 98
Calls
4 calls:
144.0ms
(/ (- (+ (sqrt (- (* b b) (* (* c 4.0) a))) b)) (* 2.0 a))
31.0ms
(+ (sqrt (- (* b b) (* (* c 4.0) a))) b)
10.0ms
(- (* b b) (* (* c 4.0) a))
17.0ms
(sqrt (- (* b b) (* (* c 4.0) a)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ (- (+ (sqrt (- (* b b) (* (* c 4.0) a))) b)) (* 2.0 a))
117.0ms
(+ (sqrt (- (* b b) (* (* c 4.0) a))) b)
78.0ms
(- (* b b) (* (* c 4.0) a))
106.0ms
(sqrt (- (* b b) (* (* c 4.0) a)))

simplify1.6s

Counts
110 → 110
Iterations
IterNodes
done5004
21480
1459
0182

prune719.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.5b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.5b

regimes490.0ms

Accuracy

85% (4.3b remaining)

Error of 10.1b against oracle of 5.8b and baseline of 34.5b

bsearch194.0ms

Steps
ItersRangePoint
6
5.84949006905106e+100
6.027833473435204e+101
3.2069047446523397e+101
9
-1.3345981006860312e-64
-1.9605051467189515e-69
-8.635925081143504e-66

simplify7.0ms

Iterations
IterNodes
done39
239
138
027

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s1065×body2560valid
536.0ms5822×body80valid
499.0ms948×body1280valid
292.0ms2889×body80nan
274.0ms471×body640valid
67.0ms115×body5120valid
60.0ms107×body160valid
54.0ms241×body320valid