Details

Time bar (total: 13.8s)

sample205.0ms

Algorithm
intervals
Results
12.0ms40×body2560valid
11.0ms178×body80valid
9.0ms36×body1280valid
4.0ms88×body80nan
3.0ms15×body640valid
1.0ms7×body320valid
1.0ms2×body5120valid
0.0ms2×body160valid

simplify105.0ms

Counts
1 → 1
Iterations
IterNodes
done29
529
427
325
222
114
010

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
0.2b
(- (* b_2 b_2) (* a c))
0.7b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
24.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite262.0ms

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-- 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 → 84
Calls
4 calls:
113.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
11.0ms
(- (* b_2 b_2) (* a c))
80.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
54.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
41.0ms
(- (* b_2 b_2) (* a c))
92.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
130.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done5001
21459
1384
0154

prune552.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ a (- (sqrt (- (pow b_2 2) (* a c))) b_2)))
0.2b
(- (pow b_2 2) (* a c))
0.7b
(- (sqrt (- (pow b_2 2) (* a c))) b_2)
24.4b
(sqrt (- (pow b_2 2) (* a c)))

rewrite219.0ms

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
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 → 162
Calls
4 calls:
88.0ms
(/ 1 (/ a (- (sqrt (- (pow b_2 2) (* a c))) b_2)))
13.0ms
(- (pow b_2 2) (* a c))
88.0ms
(- (sqrt (- (pow b_2 2) (* a c))) b_2)
22.0ms
(sqrt (- (pow b_2 2) (* a c)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(/ 1 (/ a (- (sqrt (- (pow b_2 2) (* a c))) b_2)))
38.0ms
(- (pow b_2 2) (* a c))
120.0ms
(- (sqrt (- (pow b_2 2) (* a c))) b_2)
84.0ms
(sqrt (- (pow b_2 2) (* a c)))

simplify1.4s

Counts
174 → 174
Iterations
IterNodes
done5000
23515
1621
0257

prune756.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b_2 b_2) (* c a))
0.2b
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2))
0.7b
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
24.4b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*l* add-exp-log add-cube-cbrt
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*r*
5×flip3-- sqrt-prod flip--
4×sub-neg prod-exp difference-of-squares
3×unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in sqrt-div diff-log div-exp associate-*r/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
12.0ms
(- (* b_2 b_2) (* c a))
118.0ms
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2))
42.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
7.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* b_2 b_2) (* c a))
152.0ms
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2))
95.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
77.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify1.3s

Counts
100 → 100
Iterations
IterNodes
done5000
22312
1439
0163

prune629.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a)
0.2b
(- (* b_2 b_2) (* c a))
0.7b
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
24.4b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite207.0ms

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-- 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 → 84
Calls
4 calls:
105.0ms
(/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a)
7.0ms
(- (* b_2 b_2) (* c a))
76.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
16.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a)
46.0ms
(- (* b_2 b_2) (* c a))
104.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
77.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify835.0ms

Counts
96 → 96
Iterations
IterNodes
done5000
21551
1384
0155

prune557.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 5.4b

regimes503.0ms

Accuracy

83.1% (4.8b remaining)

Error of 10.3b against oracle of 5.5b and baseline of 33.7b

bsearch129.0ms

Steps
ItersRangePoint
7
4.7547400806771625e-82
1.9034131584556183e-80
3.0476772566360775e-81
7
-9.685109581380507e+154
-1.5171851739610474e+153
-2.0256498248166784e+153

simplify9.0ms

Iterations
IterNodes
done40
240
136
029

end0.0ms

sample3.0s

Algorithm
intervals
Results
863.0ms1055×body2560valid
663.0ms5904×body80valid
302.0ms899×body1280valid
252.0ms2832×body80nan
107.0ms447×body640valid
98.0ms111×body5120valid
74.0ms241×body320valid
12.0ms102×body160valid