Details

Time bar (total: 14.8s)

sample46.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
13.0ms260×body80nan

simplify80.0ms

Counts
1 → 1
Iterations
IterNodes
done119
6119
5111
485
362
239
121
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* (sqrt x) 4.0))
0.0b
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube add-exp-log
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×associate-/r* sum-log flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
3 → 93
Calls
3 calls:
22.0ms
(+ (+ x 1.0) (* (sqrt x) 4.0))
113.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
48.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (+ x 1.0) (* (sqrt x) 4.0))
138.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
98.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

simplify1.0s

Counts
102 → 102
Iterations
IterNodes
done5000
22079
1461
0161

prune573.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt x) 4.0) (+ 1.0 x))
0.0b
(log (pow (exp 6.0) (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))))
0.0b
(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))
0.1b
(pow (exp 6.0) (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt *-un-lft-identity
30×times-frac
27×add-cube-cbrt
21×pow-unpow
9×add-log-exp
7×log-prod add-exp-log distribute-lft-out-- difference-of-squares
6×unpow-prod-down add-cbrt-cube
5×pow1 associate-/l*
4×pow-pow associate-/r/
3×exp-prod associate-/r* sum-log flip3-+ div-sub rem-log-exp flip-+
2×pow-to-exp pow-exp div-inv pow-sub sqr-pow associate-/l/
1×cbrt-undiv +-commutative log-div associate-+r+ clear-num frac-2neg flip3-- div-exp log-pow flip--
Counts
4 → 111
Calls
4 calls:
27.0ms
(+ (* (sqrt x) 4.0) (+ 1.0 x))
7.0ms
(log (pow (exp 6.0) (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))))
65.0ms
(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))
20.0ms
(pow (exp 6.0) (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (* (sqrt x) 4.0) (+ 1.0 x))
245.0ms
(log (pow (exp 6.0) (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))))
114.0ms
(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))
188.0ms
(pow (exp 6.0) (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))))

simplify1.7s

Counts
123 → 123
Iterations
IterNodes
done5000
22463
1585
0203

prune792.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))))
0.0b
(* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))))
0.1b
(/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))
0.1b
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))

rewrite731.0ms

Algorithm
rewrite-expression-head
Rules
227×add-sqr-sqrt
200×sqrt-prod
197×*-un-lft-identity
180×times-frac
93×add-cube-cbrt
61×associate-*r*
52×difference-of-squares
39×associate-*l*
38×add-cbrt-cube add-exp-log
26×distribute-lft-out distribute-lft-out--
14×associate-/l*
13×prod-exp cbrt-unprod
12×associate-/r*
11×pow1
10×cbrt-undiv div-exp
9×unswap-sqr
8×sqrt-div associate-/r/
5×flip3-+ associate-*r/ flip-+
4×pow-prod-down div-inv add-log-exp associate-/l/
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×flip3-- div-sub flip--
Counts
4 → 295
Calls
4 calls:
238.0ms
(* 6.0 (* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))))
331.0ms
(* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))))
86.0ms
(/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))
51.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))

series1.8s

Counts
4 → 12
Calls
4 calls:
610.0ms
(* 6.0 (* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))))
461.0ms
(* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x)))))
325.0ms
(/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))
360.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (* (sqrt x) 4.0) (+ 1.0 x))))

simplify640.0ms

Counts
307 → 307
Iterations
IterNodes
done5000
11124
0366

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (* (/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))) (- (+ x 1.0) (* (sqrt x) 4.0))))
0.1b
(* (/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))) (- (+ x 1.0) (* (sqrt x) 4.0)))
0.2b
(- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))
15.7b
(/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0)))

rewrite521.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
24×associate-*l*
20×add-cbrt-cube add-exp-log
16×distribute-rgt-in distribute-lft-in
11×pow1
9×associate-*r/
8×flip3-- associate--l+ flip--
7×sub-neg prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×add-log-exp
5×associate-/l*
4×frac-times associate-*r* pow-prod-down associate-/r/
3×cbrt-undiv associate-/r* div-exp
2×associate-*l/ *-commutative div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log div-sub
Counts
4 → 141
Calls
4 calls:
188.0ms
(* 6.0 (* (/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))) (- (+ x 1.0) (* (sqrt x) 4.0))))
239.0ms
(* (/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))) (- (+ x 1.0) (* (sqrt x) 4.0)))
26.0ms
(- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))
63.0ms
(/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0)))

series480.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* 6.0 (* (/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))) (- (+ x 1.0) (* (sqrt x) 4.0))))
151.0ms
(* (/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))) (- (+ x 1.0) (* (sqrt x) 4.0)))
35.0ms
(- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0))
93.0ms
(/ (- x 1.0) (- (* (+ 1.0 x) (+ 1.0 x)) (* (* x 4.0) 4.0)))

simplify1.7s

Counts
153 → 153
Iterations
IterNodes
done5000
24078
1734
0247

prune642.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
558.0ms8020×body80nan
438.0ms8000×body80valid