Details

Time bar (total: 10.9s)

sample44.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
11.0ms253×body80nan

simplify65.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite168.0ms

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))
95.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
49.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (+ x 1.0) (* (sqrt x) 4.0))
86.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
87.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

simplify867.0ms

Counts
102 → 102
Iterations
IterNodes
done5000
22079
1461
0161

prune407.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

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-+r+ clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
3 → 93
Calls
3 calls:
23.0ms
(+ (* (sqrt x) 4.0) (+ x 1.0))
93.0ms
(* 6.0 (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ x 1.0))))
52.0ms
(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ x 1.0)))

series240.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* (sqrt x) 4.0) (+ x 1.0))
109.0ms
(* 6.0 (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ x 1.0))))
85.0ms
(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ x 1.0)))

simplify826.0ms

Counts
102 → 102
Iterations
IterNodes
done5001
22116
1467
0161

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 1.0 x) (* (sqrt x) 4.0))
0.0b
(/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0))
0.0b
(* 6.0 (/ 1 (/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0))))
0.1b
(/ 1 (/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0)))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×add-log-exp
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×sum-log associate-*l* cbrt-unprod
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+ pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 257
Calls
4 calls:
32.0ms
(+ (+ 1.0 x) (* (sqrt x) 4.0))
98.0ms
(/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0))
102.0ms
(* 6.0 (/ 1 (/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0))))
35.0ms
(/ 1 (/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (+ 1.0 x) (* (sqrt x) 4.0))
91.0ms
(/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0))
102.0ms
(* 6.0 (/ 1 (/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0))))
102.0ms
(/ 1 (/ (+ (+ 1.0 x) (* (sqrt x) 4.0)) (- x 1.0)))

simplify524.0ms

Counts
269 → 269
Iterations
IterNodes
done5000
1995
0339

prune961.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite573.0ms

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:
174.0ms
(* 6.0 (* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0))))))
56.0ms
(/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0))))
257.0ms
(* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0)))))
71.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
508.0ms
(* 6.0 (* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0))))))
275.0ms
(/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0))))
392.0ms
(* (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0)))))
330.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ 1.0 x) (* (sqrt x) 4.0))))

simplify454.0ms

Counts
307 → 307
Iterations
IterNodes
done5000
11118
0366

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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
done15
115
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
778.0ms8000×body80valid
376.0ms7946×body80nan