Details

Time bar (total: 17.4s)

sample124.0ms

Algorithm
intervals
Results
36.0ms29×body1280valid
25.0ms32×body2560valid
20.0ms176×body80valid
9.0ms85×body80nan
7.0ms16×body640valid
5.0ms6×body5120valid
3.0ms9×body320valid
1.0ms4×body160valid

simplify37.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
22.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite103.0ms

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-- insert-posit16 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 → 95
Calls
4 calls:
45.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
7.0ms
(- (* b_2 b_2) (* a c))
35.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
55.0ms
(- (* b_2 b_2) (* a c))
90.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
98.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
done2004
32004
21046
1388
0162

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
3.7b
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
10.4b
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
22.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite282.0ms

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 insert-posit16
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 → 191
Calls
4 calls:
63.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
104.0ms
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
87.0ms
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
22.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
227.0ms
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
232.0ms
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
75.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.1s

Counts
203 → 203
Iterations
IterNodes
done2000
22000
1736
0308

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b_2 b_2) (* c a))
0.9b
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
14.2b
(/ a (* c a))
22.9b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite81.0ms

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 insert-posit16
3×times-frac flip3-- flip-- associate-/l*
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp difference-of-squares
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 prod-exp cbrt-unprod div-inv distribute-lft-out--
Counts
4 → 67
Calls
4 calls:
7.0ms
(- (* b_2 b_2) (* c a))
46.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
13.0ms
(/ a (* c a))
14.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* b_2 b_2) (* c a))
104.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
14.0ms
(/ a (* c a))
82.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify1.1s

Counts
79 → 79
Iterations
IterNodes
done2000
32000
2901
1286
0129

prune816.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (/ 1 c) (- (sqrt (- (* b_2 b_2) (* c a))) b_2)))
0.8b
(- (* b_2 b_2) (* c a))
0.9b
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
22.9b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
16×div-exp
13×add-cbrt-cube
12×add-sqr-sqrt prod-exp
9×*-un-lft-identity
8×pow1 rec-exp 1-exp add-log-exp
7×add-cube-cbrt
5×flip3-- associate-/r/ flip--
4×cbrt-undiv sqrt-prod insert-posit16
3×times-frac associate-/l*
2×frac-times sub-neg sqrt-div diff-log associate-*r/ cbrt-unprod pow-flip difference-of-squares
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*l/ div-inv distribute-lft-out-- inv-pow
Counts
4 → 89
Calls
4 calls:
111.0ms
(/ 1 (* (/ 1 c) (- (sqrt (- (* b_2 b_2) (* c a))) b_2)))
13.0ms
(- (* b_2 b_2) (* c a))
64.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
15.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(/ 1 (* (/ 1 c) (- (sqrt (- (* b_2 b_2) (* c a))) b_2)))
64.0ms
(- (* b_2 b_2) (* c a))
99.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
107.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify1.1s

Counts
101 → 101
Iterations
IterNodes
done2002
32002
21352
1437
0177

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.7b

regimes401.0ms

Accuracy

95.3% (1.1b remaining)

Error of 6.6b against oracle of 5.5b and baseline of 28.6b

bsearch332.0ms

Steps
ItersRangePoint
8
2.231296991249122e+66
2.5939819947174796e+69
2.559678284282607e+69
12
-1.9389773539313132e-256
-1.5243528260406766e-300
-1.5510446836147797e-300
9
-2.2464591800446616e+91
-3.153507839293123e+86
-3.364694627550853e+89

simplify11.0ms

Iterations
IterNodes
done36
136
033

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.1s5788×body80valid
872.0ms1053×body2560valid
652.0ms956×body1280valid
487.0ms98×body5120valid
363.0ms2937×body80nan
213.0ms453×body640valid
68.0ms216×body320valid
23.0ms108×body160valid