Details

Time bar (total: 16.1s)

sample72.0ms

Algorithm
intervals
Results
13.0ms36×body2560valid
12.0ms189×body80valid
7.0ms25×body1280valid
6.0ms104×body80nan
3.0ms16×body640valid
1.0ms2×body5120valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify190.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.6b

localize53.0ms

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))))

rewrite173.0ms

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:
85.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
47.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
13.0ms
(- (* b b) (* 4.0 (* a c)))
17.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
138.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
66.0ms
(- (* b b) (* 4.0 (* a c)))
126.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify1.9s

Counts
169 → 169
Iterations
IterNodes
done5004
21789
1600
0241

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize59.0ms

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))))

rewrite173.0ms

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:
105.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
29.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
15.0ms
(- (* b b) (* 4.0 (* a c)))
18.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
114.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
64.0ms
(- (* b b) (* 4.0 (* a c)))
96.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify2.2s

Counts
177 → 177
Iterations
IterNodes
done5004
21964
1664
0267

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize46.0ms

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))))

rewrite171.0ms

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:
88.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
42.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
13.0ms
(- (* b b) (* 4.0 (* a c)))
22.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
118.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
73.0ms
(- (* b b) (* 4.0 (* a c)))
105.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify1.9s

Counts
169 → 169
Iterations
IterNodes
done5004
21789
1600
0241

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.5b

localize7.0ms

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

regimes999.0ms

Accuracy

85% (4.3b remaining)

Error of 10.1b against oracle of 5.8b and baseline of 34.4b

bsearch185.0ms

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

simplify5.0ms

Iterations
IterNodes
done32
132
027

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.1s1065×body2560valid
538.0ms5822×body80valid
432.0ms948×body1280valid
273.0ms2889×body80nan
246.0ms471×body640valid
62.0ms115×body5120valid
50.0ms241×body320valid
16.0ms107×body160valid