Details

Time bar (total: 19.5s)

sample252.0ms

Algorithm
intervals
Results
38.0ms104×body80nan
19.0ms39×body2560valid
13.0ms177×body80valid
8.0ms23×body1280valid
4.0ms16×body640valid
2.0ms5×body5120valid
1.0ms7×body320valid
1.0ms7×body160valid

simplify505.0ms

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
0.4b
(- (* b_2 b_2) (* a c))
1.5b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.3b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite220.0ms

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:
109.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
6.0ms
(- (* b_2 b_2) (* a c))
81.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
18.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
70.0ms
(- (* b_2 b_2) (* a c))
109.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
109.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify2.9s

Counts
96 → 96
Iterations
IterNodes
done5019
34108
21027
1375
0154

prune646.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
0.4b
(- (* b_2 b_2) (* a c))
1.5b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.3b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite267.0ms

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 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 → 85
Calls
4 calls:
186.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
12.0ms
(- (* b_2 b_2) (* a c))
56.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
65.0ms
(- (* b_2 b_2) (* a c))
109.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
94.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify3.0s

Counts
97 → 97
Iterations
IterNodes
done5003
34644
21343
1442
0174

prune527.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
0.4b
(- (* b_2 b_2) (* a c))
1.5b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.3b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite144.0ms

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:
51.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
6.0ms
(- (* b_2 b_2) (* a c))
70.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
8.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
46.0ms
(- (* b_2 b_2) (* a c))
105.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
103.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.6s

Counts
174 → 174
Iterations
IterNodes
done5008
21771
1622
0258

prune709.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
0.4b
(- (* b_2 b_2) (* a c))
7.9b
(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
21.3b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
31×times-frac
30×*-un-lft-identity
22×add-cube-cbrt
17×sqrt-prod
8×add-log-exp
6×add-cbrt-cube add-exp-log associate-/l* difference-of-squares
5×pow1
4×flip3-- sqrt-div flip-- distribute-lft-out--
3×associate-/r* div-inv
2×sub-neg diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 distribute-rgt-out-- pow1/2 div-exp frac-sub sub-div
Counts
4 → 93
Calls
4 calls:
13.0ms
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
9.0ms
(- (* b_2 b_2) (* a c))
63.0ms
(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
48.0ms
(- (* b_2 b_2) (* a c))
128.0ms
(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
89.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify2.6s

Counts
105 → 105
Iterations
IterNodes
done5014
33156
21004
1395
0175

prune513.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.1b

regimes547.0ms

Accuracy

83.7% (4.6b remaining)

Error of 10.2b against oracle of 5.6b and baseline of 34.0b

bsearch136.0ms

Steps
ItersRangePoint
10
2.044647849876085e-45
1.359053137570048e-33
6.407662420749315e-35
10
-8.897020078895062e+156
-1.101416214509623e+146
-8.035809894237901e+152

simplify4.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.0s1030×body2560valid
508.0ms5806×body80valid
394.0ms885×body1280valid
182.0ms2884×body80nan
167.0ms507×body640valid
126.0ms118×body5120valid
46.0ms215×body320valid
15.0ms123×body160valid