Details

Time bar (total: 14.5s)

sample73.0ms

Algorithm
intervals
Results
24.0ms31×body1280valid
14.0ms39×body2560valid
11.0ms188×body80valid
5.0ms87×body80nan
3.0ms13×body640valid
1.0ms3×body5120valid
1.0ms6×body320valid
0.0ms1×body160valid

simplify112.0ms

Counts
1 → 1
Iterations
IterNodes
done95
795
694
592
484
367
243
124
014

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
0.4b
(- (* b b) (* (* 4 a) c))
0.4b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite158.0ms

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 a) c))) b) a)
13.0ms
(- (* b b) (* (* 4 a) c))
51.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
72.0ms
(- (* b b) (* (* 4 a) c))
119.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
90.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done5000
21158
1394
0161

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
0.4b
(- (* b b) (* (* 4 a) c))
0.4b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite93.0ms

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:
44.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
8.0ms
(- (* b b) (* (* 4 a) c))
30.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
54.0ms
(- (* b b) (* (* 4 a) c))
98.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
84.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.7s

Counts
178 → 178
Iterations
IterNodes
done5001
21712
1648
0265

prune872.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
0.4b
(- (* b b) (* (* 4 a) c))
0.4b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite247.0ms

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:
152.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
14.0ms
(- (* b b) (* (* 4 a) c))
64.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
62.0ms
(- (* b b) (* (* 4 a) c))
139.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
115.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5003
21455
1458
0181

prune574.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.4b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite168.0ms

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:
65.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
72.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
105.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
104.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
112.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.6s

Counts
76 → 76
Iterations
IterNodes
done5002
32079
2595
1194
082

prune591.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.3b

regimes331.0ms

Accuracy

83.4% (4.6b remaining)

Error of 10.4b against oracle of 5.8b and baseline of 33.7b

bsearch141.0ms

Steps
ItersRangePoint
8
1.287554927770862e-68
8.304725640954512e-66
4.5810084990875205e-68
8
-3.370135567630554e+133
-1.481129451033522e+129
-2.1144981103869975e+131

simplify6.0ms

Iterations
IterNodes
done35
135
029

end0.0ms

sample3.0s

Algorithm
intervals
Results
996.0ms5890×body80valid
657.0ms1064×body2560valid
397.0ms2854×body80nan
359.0ms901×body1280valid
133.0ms447×body640valid
56.0ms95×body5120valid
43.0ms207×body320valid
18.0ms133×body160valid