Details

Time bar (total: 19.8s)

sample253.0ms

Algorithm
intervals
Results
31.0ms32×body2560valid
28.0ms189×body80valid
24.0ms32×body1280valid
13.0ms79×body80nan
7.0ms12×body640valid
5.0ms11×body320valid
2.0ms6×body160valid
1.0ms1×body5120valid

simplify127.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize43.0ms

Local error

Found 4 expressions with local error:

20.7b
(sqrt (- (* b_2 b_2) (* a c)))
1.7b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.4b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite107.0ms

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:
Slowest
43.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
37.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
17.0ms
(sqrt (- (* b_2 b_2) (* a c)))
7.0ms
(- (* b_2 b_2) (* a c))

series396.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(sqrt (- (* b_2 b_2) (* a c)))
111.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
104.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
58.0ms
(- (* b_2 b_2) (* a c))

simplify1.5s

Counts
107 → 107

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize44.0ms

Local error

Found 4 expressions with local error:

20.7b
(sqrt (- (* b_2 b_2) (* a c)))
20.7b
(sqrt (- (* b_2 b_2) (* a c)))
20.7b
(sqrt (- (* b_2 b_2) (* a c)))
1.7b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))

rewrite59.0ms

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:
Slowest
20.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
10.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
112.0ms
(sqrt (- (* b_2 b_2) (* a c)))
99.0ms
(sqrt (- (* b_2 b_2) (* a c)))
87.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.9s

Counts
79 → 79

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize52.0ms

Local error

Found 4 expressions with local error:

20.7b
(sqrt (- (* b_2 b_2) (* a c)))
20.7b
(sqrt (- (* b_2 b_2) (* a c)))
20.7b
(sqrt (- (* b_2 b_2) (* a c)))
1.7b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))

rewrite55.0ms

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:
Slowest
28.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
12.0ms
(sqrt (- (* b_2 b_2) (* a c)))
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
107.0ms
(sqrt (- (* b_2 b_2) (* a c)))
107.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
101.0ms
(sqrt (- (* b_2 b_2) (* a c)))
78.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.9s

Counts
79 → 79

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

localize48.0ms

Local error

Found 4 expressions with local error:

20.7b
(sqrt (- (* b_2 b_2) (* a c)))
16.1b
(- (* b_2 b_2) (* b_2 b_2))
10.6b
(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
4.1b
(/ (/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
146×add-sqr-sqrt
113×*-un-lft-identity
81×add-cube-cbrt
33×difference-of-squares
27×associate-/l*
19×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×div-sub associate-/l/
2×clear-num frac-2neg sqrt-div associate-+l-
1×rem-sqrt-square sub-neg sqrt-pow1 flip3-+ distribute-rgt-out-- pow1/2 +-inverses diff-log flip-+
Counts
4 → 194
Calls
4 calls:
Slowest
169.0ms
(/ (/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
101.0ms
(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
12.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* b_2 b_2))

series439.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
165.0ms
(/ (/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
91.0ms
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
(- (* b_2 b_2) (* b_2 b_2))

simplify960.0ms

Counts
206 → 206

prune2.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.5b

regimes580.0ms

Accuracy

88.7% (2.9b remaining)

Error of 8.5b against oracle of 5.6b and baseline of 31.2b

bsearch321.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.1s896×body1280valid
950.0ms1073×body2560valid
691.0ms5896×body80valid
390.0ms2896×body80nan
244.0ms472×body640valid
127.0ms105×body5120valid
81.0ms242×body320valid
23.0ms96×body160valid