Details

Time bar (total: 22.7s)

sample169.0ms

Algorithm
intervals
Results
32.0ms31×body2560valid
31.0ms16×body640valid
31.0ms176×body80valid
25.0ms30×body1280valid
14.0ms85×body80nan
8.0ms6×body5120valid
4.0ms9×body320valid
1.0ms4×body160valid

simplify156.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
0.8b
(- (* b b) (* 4 (* a c)))
1.2b
(- (- 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:
60.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
8.0ms
(- (* b b) (* 4 (* a c)))
16.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
14.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
50.0ms
(- (* b b) (* 4 (* a c)))
112.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
87.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
34255
21194
1398
0154

prune508.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
0.8b
(- (* b b) (* 4 (* a c)))
1.2b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
22.9b
(sqrt (- (* b b) (* 4 (* a c))))

rewrite122.0ms

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:
74.0ms
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
8.0ms
(- (* b b) (* 4 (* a c)))
25.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
12.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
59.0ms
(- (* b b) (* 4 (* a c)))
115.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
87.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify2.8s

Counts
101 → 101
Iterations
IterNodes
35724
21456
1448
0177

prune548.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

localize90.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (- 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))))

rewrite72.0ms

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:
29.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
15.0ms
(sqrt (- (* b b) (* 4 (* a c))))
13.0ms
(sqrt (- (* b b) (* 4 (* a c))))
14.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
95.0ms
(sqrt (- (* b b) (* 4 (* a c))))
116.0ms
(sqrt (- (* b b) (* 4 (* a c))))
127.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify4.1s

Counts
79 → 79
Iterations
IterNodes
46295
31974
2623
1210
087

prune612.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize104.0ms

Local error

Found 4 expressions with local error:

22.9b
(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))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
4×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 flip-- add-log-exp
Counts
4 → 64
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* 4 (* a c))))
13.0ms
(sqrt (- (* b b) (* 4 (* a c))))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))
8.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (- (* b b) (* 4 (* a c))))
87.0ms
(sqrt (- (* b b) (* 4 (* a c))))
99.0ms
(sqrt (- (* b b) (* 4 (* a c))))
113.0ms
(sqrt (- (* b b) (* 4 (* a c))))

simplify3.0s

Counts
76 → 76
Iterations
IterNodes
45236
31438
2407
1128
051

prune544.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.7b

regimes353.0ms

Accuracy

81.6% (5.1b remaining)

Error of 10.7b against oracle of 5.7b and baseline of 33.3b

bsearch205.0ms

Steps
ItersRangePoint
8
2.231296991249122e+66
2.5939819947174796e+69
2.559678284282607e+69
9
-2.273288360947074e-131
-1.9680749876012584e-137
-2.2415082771065304e-131

simplify7.0ms

Iterations
IterNodes
229
129
025

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.5s1048×body2560valid
1.2s5790×body80valid
809.0ms956×body1280valid
420.0ms2938×body80nan
226.0ms454×body640valid
170.0ms220×body320valid
97.0ms98×body5120valid
26.0ms105×body160valid