Details

Time bar (total: 28.0s)

sample216.0ms

Algorithm
intervals
Results
56.0ms36×body2560valid
19.0ms184×body80valid
13.0ms29×body1280valid
8.0ms77×body80nan
3.0ms10×body640valid
3.0ms4×body5120valid
3.0ms10×body320valid
1.0ms4×body160valid

simplify49.0ms

Counts
1 → 1
Iterations
IterNodes
629
529
427
325
222
114
010

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b
(- (* b_2 b_2) (* a c))
23.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite176.0ms

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:
77.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
58.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
17.0ms
(- (* b_2 b_2) (* a c))
21.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
127.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
59.0ms
(- (* b_2 b_2) (* a c))
117.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
32948
2997
1377
0158

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b
(- (* b_2 b_2) (* a c))
23.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite169.0ms

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:
83.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
64.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
11.0ms
(- (* b_2 b_2) (* a c))
8.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
124.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
37.0ms
(- (* b_2 b_2) (* a c))
72.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.6s

Counts
100 → 100
Iterations
IterNodes
32948
2997
1377
0158

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b
(- (* b_2 b_2) (* a c))
23.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite263.0ms

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:
185.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
42.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
15.0ms
(- (* b_2 b_2) (* a c))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
128.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
60.0ms
(- (* b_2 b_2) (* a c))
110.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify3.9s

Counts
101 → 101
Iterations
IterNodes
34174
21332
1442
0178

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
1.1b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b
(- (* b_2 b_2) (* a c))
23.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite109.0ms

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:
48.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
36.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
13.0ms
(- (* b_2 b_2) (* a c))
8.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
78.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
39.0ms
(- (* b_2 b_2) (* a c))
111.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify9.0s

Counts
178 → 178
Iterations
IterNodes
36304
21805
1623
0262

prune1.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.4b

regimes376.0ms

Accuracy

84.2% (4.4b remaining)

Error of 10.0b against oracle of 5.6b and baseline of 33.3b

bsearch163.0ms

Steps
ItersRangePoint
10
8.951341119180922e-71
6.02619389320856e-56
2.3930366094323856e-68
8
-5.520406447692031e+155
-8.116303404487084e+152
-4.82289647433212e+153

simplify4.0ms

Iterations
IterNodes
228
128
024

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s5821×body80valid
816.0ms1114×body2560valid
701.0ms912×body1280valid
387.0ms2904×body80nan
229.0ms416×body640valid
90.0ms110×body5120valid
76.0ms229×body320valid
23.0ms105×body160valid