Details

Time bar (total: 14.4s)

sample38.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms248×body80nan

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
45.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
31.0ms
(* 6.0 (- x 1.0))
59.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series236.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
64.0ms
(* 6.0 (- x 1.0))
116.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.3s

Counts
76 → 76
Iterations
IterNodes
done5002
21307
1388
0137

prune296.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite223.0ms

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-+ insert-posit16
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 → 96
Calls
3 calls:
42.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
125.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
51.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series265.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
113.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
111.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.5s

Counts
105 → 105
Iterations
IterNodes
done5005
21590
1457
0164

prune348.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
203×sqrt-prod
197×*-un-lft-identity
180×times-frac
93×add-cube-cbrt
60×associate-*r*
52×difference-of-squares
36×associate-*l*
26×distribute-lft-out distribute-lft-out--
20×add-cbrt-cube add-exp-log
14×associate-/l*
12×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp associate-/l/
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 287
Calls
4 calls:
33.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
67.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
265.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
65.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
282.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
439.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
339.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify2.3s

Counts
299 → 299
Iterations
IterNodes
done5003
23779
11058
0348

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b
(sqrt (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b
(sqrt (+ (sqrt x) (sqrt 1.0)))
0.1b
(sqrt (+ (sqrt x) (sqrt 1.0)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
18×*-un-lft-identity
16×add-sqr-sqrt
12×sqrt-div
10×pow1 sqrt-pow1 add-cube-cbrt
6×rem-sqrt-square pow1/2
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
4 → 80
Calls
4 calls:
42.0ms
(sqrt (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
36.0ms
(sqrt (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
20.0ms
(sqrt (+ (sqrt x) (sqrt 1.0)))
20.0ms
(sqrt (+ (sqrt x) (sqrt 1.0)))

series649.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(sqrt (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
170.0ms
(sqrt (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
181.0ms
(sqrt (+ (sqrt x) (sqrt 1.0)))
139.0ms
(sqrt (+ (sqrt x) (sqrt 1.0)))

simplify2.2s

Counts
92 → 92
Iterations
IterNodes
done5000
34297
21199
1396
0165

prune502.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample1.3s

Algorithm
intervals
Results
563.0ms8127×body80nan
526.0ms8000×body80valid