Details

Time bar (total: 14.4s)

sample209.0ms

Algorithm
intervals
Results
56.0ms9×body320valid
17.0ms36×body2560valid
13.0ms176×body80valid
12.0ms33×body1280valid
8.0ms79×body80nan
6.0ms20×body640valid
3.0ms6×body5120valid
0.0ms3×body160valid

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done44
444
341
232
118
010

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.2b
(- (* b_2 b_2) (* a c))
1.6b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
24.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
8×sqrt-prod
7×associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1 distribute-rgt-neg-in
4×flip3-- flip--
3×associate-/r* diff-log
2×sub-neg sqrt-div associate-/l/
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv
Counts
4 → 91
Calls
4 calls:
102.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
12.0ms
(- (* b_2 b_2) (* a c))
96.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
40.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series523.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
66.0ms
(- (* b_2 b_2) (* a c))
157.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
176.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify806.0ms

Counts
103 → 103
Iterations
IterNodes
done5000
21527
1392
0158

prune566.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
5.2b
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
6.9b
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
24.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
150×add-sqr-sqrt
115×*-un-lft-identity
81×add-cube-cbrt
34×difference-of-squares
27×associate-/l*
20×sqrt-prod
17×distribute-lft-out--
11×add-cbrt-cube add-exp-log
10×associate-/r/
9×associate-/r*
7×flip3-- flip--
6×div-inv add-log-exp
5×pow1
4×cbrt-undiv div-exp
3×associate-/l/
2×clear-num frac-2neg sqrt-div
1×rem-sqrt-square sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log flip-+
Counts
4 → 187
Calls
4 calls:
36.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
89.0ms
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
53.0ms
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
232.0ms
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
279.0ms
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
76.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify2.1s

Counts
199 → 199
Iterations
IterNodes
done5000
24138
1765
0304

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b_2 b_2) (* a c))
1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
13.0b
(/ (* a c) a)
24.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×*-un-lft-identity add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
5×pow1
4×sqrt-prod
3×associate-/r* times-frac flip3-- flip--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp difference-of-squares
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 prod-exp cbrt-unprod div-inv associate-/l* distribute-lft-out--
Counts
4 → 63
Calls
4 calls:
6.0ms
(- (* b_2 b_2) (* a c))
59.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
14.0ms
(/ (* a c) a)
16.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* b_2 b_2) (* a c))
119.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
8.0ms
(/ (* a c) a)
92.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.5s

Counts
75 → 75
Iterations
IterNodes
done5000
21708
1313
0125

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ c (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
0.2b
(- (* b_2 b_2) (* a c))
1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
24.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×associate-/r* add-cbrt-cube add-exp-log
5×pow1 distribute-lft-out--
4×flip3-- flip--
3×associate-/l*
2×sub-neg sqrt-div diff-log associate-/r/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 83
Calls
4 calls:
47.0ms
(/ c (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
6.0ms
(- (* b_2 b_2) (* a c))
64.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
13.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(/ c (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
46.0ms
(- (* b_2 b_2) (* a c))
100.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
106.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify598.0ms

Counts
95 → 95
Iterations
IterNodes
done5000
21180
1337
0147

prune544.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.6b

regimes415.0ms

Accuracy

95.3% (1.2b remaining)

Error of 6.5b against oracle of 5.4b and baseline of 30.0b

bsearch179.0ms

Steps
ItersRangePoint
9
2.1340360609407003e+79
6.102484722804822e+84
1.1809135573683298e+84
10
8.852475844905406e-209
2.711563690867585e-195
8.958852798091287e-209
7
-3.845605078781637e+76
-5.978906984153912e+74
-3.098467977454582e+76

simplify5.0ms

Iterations
IterNodes
done36
236
135
029

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.0s1066×body2560valid
468.0ms5798×body80valid
361.0ms921×body1280valid
319.0ms2878×body80nan
201.0ms458×body640valid
85.0ms238×body320valid
46.0ms85×body5120valid
16.0ms110×body160valid