Details

Time bar (total: 17.9s)

sample147.0ms

Algorithm
intervals
Results
30.0ms85×body80nan
30.0ms32×body2560valid
25.0ms176×body80valid
21.0ms29×body1280valid
9.0ms16×body640valid
6.0ms6×body5120valid
4.0ms9×body320valid
1.0ms4×body160valid

simplify45.0ms

Counts
1 → 1
Iterations
IterNodes
549
449
346
233
119
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
22.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r* diff-log
2×sub-neg sqrt-div associate-/l/
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv
Counts
4 → 175
Calls
4 calls:
68.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
11.0ms
(- (* b_2 b_2) (* a c))
26.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
65.0ms
(- (* b_2 b_2) (* a c))
131.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
95.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify3.0s

Counts
187 → 187
Iterations
IterNodes
34034
21423
1576
0248

prune798.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.8b
(- (* b_2 b_2) (* a c))
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
22.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
171×add-sqr-sqrt
170×*-un-lft-identity
165×times-frac
118×add-cube-cbrt
61×prod-diff
46×sqrt-prod
34×distribute-rgt-neg-in
27×associate-/r*
26×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
15×add-exp-log
11×fma-neg
10×add-log-exp
9×add-cbrt-cube associate-/r/
7×neg-mul-1 flip3-- div-exp flip--
6×pow1
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv diff-log associate-/l*
2×rec-exp sub-neg sqrt-div 1-exp
1×associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log pow-flip inv-pow
Counts
4 → 261
Calls
4 calls:
55.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
24.0ms
(- (* b_2 b_2) (* a c))
37.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
58.0ms
(- (* b_2 b_2) (* a c))
117.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
96.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.9s

Counts
273 → 273
Iterations
IterNodes
22075
1834
0355

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
0.8b
(- (* b_2 b_2) (* a c))
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
22.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
181×prod-diff
146×add-sqr-sqrt
139×*-un-lft-identity
130×add-cube-cbrt
95×sqrt-prod
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
19×neg-mul-1
13×associate-*l* add-exp-log
11×times-frac fma-neg
10×add-log-exp
9×add-cbrt-cube
7×pow1 associate-*r*
5×flip3-- flip--
4×expm1-log1p-u sub-neg prod-exp insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sqrt-div div-exp associate-*r/ cbrt-unprod
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down neg-log associate-*l/ *-commutative div-inv
Counts
4 → 296
Calls
4 calls:
91.0ms
(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
22.0ms
(- (* b_2 b_2) (* a c))
37.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
49.0ms
(- (* b_2 b_2) (* a c))
112.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
79.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify914.0ms

Counts
308 → 308
Iterations
IterNodes
22034
11003
0360

prune910.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (+ (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
0.8b
(- (* b_2 b_2) (* a c))
1.2b
(+ (sqrt (- (* b_2 b_2) (* a c))) b_2)
22.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt
16×distribute-lft-neg-in distribute-rgt-neg-in
12×associate-/l*
9×distribute-lft-out
8×add-log-exp
6×fma-def add-cbrt-cube add-exp-log sqrt-prod
5×pow1
4×expm1-log1p-u neg-mul-1 insert-posit16 log1p-expm1-u
3×associate-/r*
2×flip3-+ flip3-- sqrt-div flip-+ flip-- distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub div-exp prod-diff distribute-frac-neg div-inv
Counts
4 → 126
Calls
4 calls:
122.0ms
(/ (- (+ (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
16.0ms
(- (* b_2 b_2) (* a c))
35.0ms
(+ (sqrt (- (* b_2 b_2) (* a c))) b_2)
10.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ (- (+ (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
52.0ms
(- (* b_2 b_2) (* a c))
115.0ms
(+ (sqrt (- (* b_2 b_2) (* a c))) b_2)
93.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify2.0s

Counts
138 → 138
Iterations
IterNodes
33798
21278
1469
0203

prune573.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.7b

regimes406.0ms

Accuracy

88.7% (3.1b remaining)

Error of 8.7b against oracle of 5.6b and baseline of 33.2b

bsearch298.0ms

Steps
ItersRangePoint
8
2.231296991249122e+66
2.5939819947174796e+69
2.559678284282607e+69
10
-1.9680749876012584e-137
-1.346954522507992e-154
-4.217048722645246e-140
7
-1.2758321149511696e+56
-5.377114572092918e+53
-8.528469058745581e+53

simplify10.0ms

Iterations
IterNodes
343
243
142
033

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s5788×body80valid
827.0ms1053×body2560valid
647.0ms956×body1280valid
276.0ms2937×body80nan
188.0ms453×body640valid
182.0ms98×body5120valid
89.0ms216×body320valid
22.0ms108×body160valid