Details

Time bar (total: 14.9s)

sample105.0ms

Algorithm
intervals
Results
49.0ms282×body80valid
15.0ms119×body80nan

simplify155.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize149.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
26.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
26.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
40.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
116.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
109.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
119.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.3s

Counts
75 → 75

prune482.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.3b

localize124.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.1b
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (/ (* a c) b)))))
5.1b
(/ (* a c) b)
26.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
14×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt times-frac associate-/r*
8×add-log-exp
5×pow1
4×cbrt-undiv div-exp distribute-lft-out--
3×distribute-rgt-neg-in sqrt-prod
2×flip3-- frac-2neg sqrt-div prod-exp clear-num sum-log associate-/r/ flip-- cbrt-unprod div-inv distribute-lft-out associate-/l* difference-of-squares
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 neg-log flip-+
Counts
4 → 80
Calls
4 calls:
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
65.0ms
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (/ (* a c) b)))))
10.0ms
(/ (* a c) b)
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
290.0ms
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (/ (* a c) b)))))
37.0ms
(/ (* a c) b)
113.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.0s

Counts
92 → 92

prune541.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.5b

localize134.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.1b
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (* a (/ c b))))))
6.0b
(* a (/ c b))
26.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
25×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt
14×add-exp-log add-cbrt-cube
13×associate-*r*
8×add-log-exp
7×pow1
6×associate-/r*
4×distribute-lft-out--
3×cbrt-undiv distribute-rgt-neg-in div-exp associate-*l* prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log associate-/r/ flip-- div-inv distribute-lft-out difference-of-squares unswap-sqr
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 associate-*r/ pow-prod-down neg-log clear-num *-commutative flip-+ associate-/l*
Counts
4 → 91
Calls
4 calls:
24.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
54.0ms
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (* a (/ c b))))))
30.0ms
(* a (/ c b))
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
254.0ms
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (* a (/ c b))))))
38.0ms
(* a (/ c b))
114.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.1s

Counts
103 → 103

prune712.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize140.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.1b
(/ (- (- b) (- b (* 2.0 (* a (/ c b))))) (* 2.0 c))
6.0b
(* a (/ c b))
26.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
25×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt
14×add-exp-log add-cbrt-cube
13×associate-*r*
8×add-log-exp
7×pow1
6×associate-/l*
4×distribute-lft-out--
3×cbrt-undiv distribute-rgt-neg-in div-exp associate-*l* prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log flip-- div-inv associate-/l/ distribute-lft-out difference-of-squares unswap-sqr
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down neg-log clear-num associate-/r* *-commutative flip-+
Counts
4 → 92
Calls
4 calls:
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
53.0ms
(/ (- (- b) (- b (* 2.0 (* a (/ c b))))) (* 2.0 c))
14.0ms
(* a (/ c b))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
106.0ms
(/ (- (- b) (- b (* 2.0 (* a (/ c b))))) (* 2.0 c))
32.0ms
(* a (/ c b))
84.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.1s

Counts
104 → 104

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

regimes425.0ms

Accuracy

93.5% (1.0b remaining)

Error of 7.6b against oracle of 6.6b and baseline of 21.3b

bsearch315.0ms

Steps
ItersRangePoint
8
1.890514070312107e+96
2.5656331724562416e+99
2.9036145062364975e+96
9
-2.610854184868014e+159
-1.4887366307331679e+153
-1.3355057769721441e+154

simplify804.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
992.0ms8720×body80valid
355.0ms3016×body80nan