Details

Time bar (total: 15.9s)

sample121.0ms

Algorithm
intervals
Results
40.0ms187×body80valid
24.0ms36×body2560valid
16.0ms25×body1280valid
11.0ms86×body80nan
8.0ms17×body640valid
3.0ms4×body160valid
3.0ms8×body320valid

simplify116.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.8b
(- (* b b) (* (* c a) 4))
0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite165.0ms

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:
92.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
7.0ms
(- (* b b) (* (* c a) 4))
57.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
69.0ms
(- (* b b) (* (* c a) 4))
107.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
102.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.3s

Counts
100 → 100
Iterations
IterNodes
done2001
32001
21108
1400
0161

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
0.8b
(- (* b b) (* (* c a) 4))
0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*r* add-exp-log add-cube-cbrt
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
5×flip3-- sqrt-prod flip--
4×prod-exp insert-posit16 difference-of-squares
3×unswap-sqr
2×frac-times sub-neg sqrt-div diff-log div-exp associate-*l/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
106.0ms
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
15.0ms
(- (* b b) (* (* c a) 4))
36.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
10.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
54.0ms
(- (* b b) (* (* c a) 4))
118.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
92.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.5s

Counts
101 → 101
Iterations
IterNodes
done2002
32002
21459
1464
0181

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))
23.5b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×*-un-lft-identity
8×sqrt-prod add-log-exp
6×pow1 add-cube-cbrt
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
37.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
34.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
100.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
99.0ms
(sqrt (- (* b b) (* (* c a) 4)))
101.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify957.0ms

Counts
76 → 76
Iterations
IterNodes
done2000
32000
2589
1195
082

prune994.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.4b

localize71.0ms

Local error

Found 4 expressions with local error:

8.9b
(- (* (fabs (cbrt (- (* b b) (* (* c a) 4)))) (sqrt (cbrt (- (* b b) (* (* c a) 4))))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))
24.2b
(cbrt (- (* b b) (* (* c a) 4)))
24.2b
(cbrt (- (* b b) (* (* c a) 4)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×cbrt-prod add-log-exp
5×pow1
4×cbrt-div flip3-- add-cbrt-cube add-exp-log insert-posit16 flip--
3×sqrt-prod
2×pow1/3 sqrt-div
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 57
Calls
4 calls:
25.0ms
(- (* (fabs (cbrt (- (* b b) (* (* c a) 4)))) (sqrt (cbrt (- (* b b) (* (* c a) 4))))) b)
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
5.0ms
(cbrt (- (* b b) (* (* c a) 4)))
5.0ms
(cbrt (- (* b b) (* (* c a) 4)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (* (fabs (cbrt (- (* b b) (* (* c a) 4)))) (sqrt (cbrt (- (* b b) (* (* c a) 4))))) b)
86.0ms
(sqrt (- (* b b) (* (* c a) 4)))
125.0ms
(cbrt (- (* b b) (* (* c a) 4)))
132.0ms
(cbrt (- (* b b) (* (* c a) 4)))

simplify991.0ms

Counts
69 → 69
Iterations
IterNodes
done2005
32005
21073
1341
0141

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.4b

regimes339.0ms

Accuracy

84.2% (4.3b remaining)

Error of 10.0b against oracle of 5.7b and baseline of 32.9b

bsearch199.0ms

Steps
ItersRangePoint
8
5.833527798943191e-77
3.6732813120885656e-72
3.1295384133612364e-73
9
-2.2174027590176242e+73
-8.164533525332822e+65
-3.063397748446981e+71

simplify5.0ms

Iterations
IterNodes
done36
136
029

end0.0ms

sample3.9s

Algorithm
intervals
Results
994.0ms881×body1280valid
917.0ms1026×body2560valid
816.0ms5891×body80valid
343.0ms464×body640valid
313.0ms2954×body80nan
112.0ms96×body5120valid
78.0ms237×body320valid
22.0ms104×body160valid