Details

Time bar (total: 14.9s)

sample133.0ms

Algorithm
intervals
Results
39.0ms33×body2560valid
26.0ms185×body80valid
21.0ms32×body1280valid
13.0ms97×body80nan
7.0ms12×body640valid
5.0ms5×body5120valid
3.0ms8×body320valid
1.0ms3×body160valid

simplify140.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4 a) c)
0.6b
(- (* b b) (* (* 4 a) c))
1.1b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
22.2b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 *-un-lft-identity add-log-exp
9×add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×add-cube-cbrt
4×insert-posit16
3×associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×sum-log flip3-- sqrt-div flip-- distribute-lft-out
1×neg-sub0 +-commutative rem-sqrt-square sub-neg distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 diff-log associate-*l* neg-log *-commutative associate-+l- flip-+
Counts
4 → 64
Calls
4 calls:
27.0ms
(* (* 4 a) c)
15.0ms
(- (* b b) (* (* 4 a) c))
26.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 4 a) c)
59.0ms
(- (* b b) (* (* 4 a) c))
115.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
121.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify906.0ms

Counts
76 → 76
Iterations
IterNodes
done2002
32002
21026
1324
0125

prune435.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.6b
(- (* b b) (* (* c a) 4))
1.1b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
22.2b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite508.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
430.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
15.0ms
(- (* b b) (* (* c a) 4))
50.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
12.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
58.0ms
(- (* b b) (* (* c a) 4))
111.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
105.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.0s

Counts
100 → 100
Iterations
IterNodes
done2001
32001
21108
1400
0161

prune597.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4 c) a))) b) a)
0.6b
(- (* b b) (* (* 4 c) a))
1.1b
(- (sqrt (- (* b b) (* (* 4 c) a))) b)
22.2b
(sqrt (- (* b b) (* (* 4 c) a)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
86.0ms
(/ (- (sqrt (- (* b b) (* (* 4 c) a))) b) a)
10.0ms
(- (* b b) (* (* 4 c) a))
35.0ms
(- (sqrt (- (* b b) (* (* 4 c) a))) b)
13.0ms
(sqrt (- (* b b) (* (* 4 c) a)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (- (sqrt (- (* b b) (* (* 4 c) a))) b) a)
58.0ms
(- (* b b) (* (* 4 c) a))
88.0ms
(- (sqrt (- (* b b) (* (* 4 c) a))) b)
101.0ms
(sqrt (- (* b b) (* (* 4 c) a)))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done2002
32002
21133
1397
0161

prune504.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 c) a))) b)))
0.6b
(- (* b b) (* (* 4 c) a))
1.1b
(- (sqrt (- (* b b) (* (* 4 c) a))) b)
22.2b
(sqrt (- (* b b) (* (* 4 c) a)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
123×add-sqr-sqrt
96×*-un-lft-identity
70×add-cube-cbrt
26×difference-of-squares
24×associate-/r*
16×sqrt-prod
15×add-exp-log
13×distribute-lft-out--
9×add-cbrt-cube associate-/r/
8×add-log-exp
7×flip3-- div-exp flip--
6×pow1
5×div-inv
4×insert-posit16
3×cbrt-undiv associate-/l*
2×rec-exp sub-neg sqrt-div diff-log 1-exp
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-flip inv-pow
Counts
4 → 166
Calls
4 calls:
83.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 c) a))) b)))
7.0ms
(- (* b b) (* (* 4 c) a))
49.0ms
(- (sqrt (- (* b b) (* (* 4 c) a))) b)
15.0ms
(sqrt (- (* b b) (* (* 4 c) a)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 c) a))) b)))
56.0ms
(- (* b b) (* (* 4 c) a))
96.0ms
(- (sqrt (- (* b b) (* (* 4 c) a))) b)
109.0ms
(sqrt (- (* b b) (* (* 4 c) a)))

simplify1.4s

Counts
178 → 178
Iterations
IterNodes
done2001
32001
21808
1649
0265

prune778.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.9b

regimes510.0ms

Accuracy

83.9% (4.4b remaining)

Error of 10.1b against oracle of 5.8b and baseline of 32.9b

bsearch154.0ms

Steps
ItersRangePoint
9
2.0671083276743448e-101
1.4914771383599542e-96
1.489031291672483e-98
5
-3.3440263710910746e+131
-9.921521910190385e+130
-1.7512236628315378e+131

simplify9.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.6s1106×body2560valid
958.0ms5933×body80valid
659.0ms842×body1280valid
420.0ms2940×body80nan
278.0ms437×body640valid
136.0ms210×body320valid
123.0ms120×body5120valid
60.0ms113×body160valid