Details

Time bar (total: 18.4s)

sample107.0ms

Algorithm
intervals
Results
28.0ms24×body1280valid
26.0ms44×body2560valid
18.0ms183×body80valid
8.0ms87×body80nan
3.0ms8×body640valid
2.0ms8×body320valid
1.0ms7×body160valid
1.0ms1×body5120valid

simplify648.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize23.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* 4 (* a c))))
2.0b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
0.2b
(- (* b b) (* 4 (* a c)))
0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

rewrite80.0ms

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:
Slowest
46.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
15.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
11.0ms
(- (* b b) (* 4 (* a c)))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
110.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
110.0ms
(sqrt (- (* b b) (* 4 (* a c))))
62.0ms
(- (* b b) (* 4 (* a c)))

simplify1.9s

Counts
93 → 93

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize23.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* 4 (* a c))))
2.0b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
0.2b
(- (* b b) (* 4 (* a c)))
0.2b
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))

rewrite102.0ms

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:
Slowest
67.0ms
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
15.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
11.0ms
(sqrt (- (* b b) (* 4 (* a c))))
8.0ms
(- (* b b) (* 4 (* a c)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
102.0ms
(sqrt (- (* b b) (* 4 (* a c))))
95.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
49.0ms
(- (* b b) (* 4 (* a c)))

simplify483.0ms

Counts
101 → 101

prune989.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.8b

localize30.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* 4 (* a c))))
2.0b
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
0.2b
(- (* b b) (* 4 (* a c)))
0.2b
(/ 1 (/ (* 2 a) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
48×add-sqr-sqrt
47×*-un-lft-identity
27×add-cube-cbrt
25×add-exp-log
13×associate-/r* add-cbrt-cube
12×div-exp
10×distribute-lft-out-- add-log-exp difference-of-squares
9×associate-/r/
8×sqrt-prod
7×flip3-- flip--
6×pow1
5×cbrt-undiv distribute-rgt-neg-in div-inv
4×insert-posit16
3×rec-exp diff-log 1-exp prod-exp associate-/l*
2×sub-neg sqrt-div
1×associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log cbrt-unprod pow-flip inv-pow
Counts
4 → 129
Calls
4 calls:
Slowest
35.0ms
(/ 1 (/ (* 2 a) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))))
14.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
8.0ms
(- (* b b) (* 4 (* a c)))
8.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series375.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ 1 (/ (* 2 a) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))))
86.0ms
(sqrt (- (* b b) (* 4 (* a c))))
84.0ms
(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
51.0ms
(- (* b b) (* 4 (* a c)))

simplify656.0ms

Counts
141 → 141

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.8b

localize44.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* 4 (* a c))))
7.7b
(- (/ (- b) (* 2 a)) (/ (sqrt (- (* b b) (* 4 (* a c)))) (* 2 a)))
0.2b
(- (* b b) (* 4 (* a c)))
0.1b
(/ (sqrt (- (* b b) (* 4 (* a c)))) (* 2 a))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
12×add-sqr-sqrt
10×times-frac
9×add-cbrt-cube add-exp-log add-cube-cbrt sqrt-prod
8×add-log-exp
6×associate-/l*
5×pow1
4×flip3-- sqrt-div insert-posit16 flip--
3×div-inv distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square clear-num associate-/r* distribute-rgt-neg-in frac-2neg sqrt-pow1 distribute-rgt-out-- pow1/2 div-sub prod-exp frac-sub cbrt-unprod sub-div difference-of-squares
Counts
4 → 80
Calls
4 calls:
Slowest
47.0ms
(- (/ (- b) (* 2 a)) (/ (sqrt (- (* b b) (* 4 (* a c)))) (* 2 a)))
18.0ms
(/ (sqrt (- (* b b) (* 4 (* a c)))) (* 2 a))
14.0ms
(- (* b b) (* 4 (* a c)))
7.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series447.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ (sqrt (- (* b b) (* 4 (* a c)))) (* 2 a))
144.0ms
(- (/ (- b) (* 2 a)) (/ (sqrt (- (* b b) (* 4 (* a c)))) (* 2 a)))
97.0ms
(sqrt (- (* b b) (* 4 (* a c))))
52.0ms
(- (* b b) (* 4 (* a c)))

simplify2.4s

Counts
92 → 92

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.8b

regimes341.0ms

Accuracy

84% (4.4b remaining)

Error of 10.4b against oracle of 6.0b and baseline of 33.2b

bsearch262.0ms

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.4s5905×body80valid
1.4s1021×body2560valid
687.0ms889×body1280valid
435.0ms2867×body80nan
298.0ms437×body640valid
124.0ms124×body5120valid
110.0ms223×body320valid
30.0ms120×body160valid