Details

Time bar (total: 14.0s)

sample95.0ms

Algorithm
intervals
Results
30.0ms547×body80nan
25.0ms208×body160nan
18.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
71825
6472
5156
460
335
219
116
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (sqrt (- (* x x) 1))))
30.6b
(sqrt (- (* x x) 1))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-sqr-sqrt sqrt-prod
4×pow1 log-prod add-cube-cbrt
3×add-exp-log
2×log-div add-cbrt-cube sqrt-div insert-posit16 add-log-exp difference-of-squares
1×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 difference-of-sqr-1 rem-log-exp log-pow flip-+ flip-- distribute-lft-out
Counts
2 → 35
Calls
2 calls:
21.0ms
(log (+ x (sqrt (- (* x x) 1))))
11.0ms
(sqrt (- (* x x) 1))

series180.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(log (+ x (sqrt (- (* x x) 1))))
41.0ms
(sqrt (- (* x x) 1))

simplify1.3s

Counts
41 → 41
Iterations
IterNodes
done5004
31865
2611
1251
0120

prune183.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
0.2b
(+ (log x) (- (log 2) (/ 3/32 (* (* x x) (* x x)))))
0.4b
(/ 3/32 (* (* x x) (* x x)))
0.6b
(/ 1/4 (* x x))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
120×pow1
39×add-cbrt-cube add-exp-log
36×pow-prod-up
23×pow-prod-down
22×pow-sqr
21×*-un-lft-identity
18×pow-plus
17×prod-exp cbrt-unprod
13×pow2
10×add-sqr-sqrt add-cube-cbrt
7×cbrt-undiv div-exp
6×log-prod times-frac distribute-lft-out associate-/l* add-log-exp
5×associate-+r+ log-pow
4×insert-posit16 distribute-lft-out--
3×associate-+l+ associate--l+
2×clear-num associate-/r* sum-log frac-2neg div-inv
1×+-commutative associate-+r- sub-neg flip3-+ diff-log swap-sqr associate-*r* associate-*l* *-commutative flip-+ unswap-sqr
Counts
4 → 142
Calls
4 calls:
34.0ms
(* (* x x) (* x x))
89.0ms
(+ (log x) (- (log 2) (/ 3/32 (* (* x x) (* x x)))))
38.0ms
(/ 3/32 (* (* x x) (* x x)))
8.0ms
(/ 1/4 (* x x))

series2.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* x x) (* x x))
2.1s
(+ (log x) (- (log 2) (/ 3/32 (* (* x x) (* x x)))))
53.0ms
(/ 3/32 (* (* x x) (* x x)))
29.0ms
(/ 1/4 (* x x))

simplify1.3s

Counts
154 → 154
Iterations
IterNodes
done5003
21888
1457
0170

prune338.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
0.6b
(* (sqrt (+ x 1)) (sqrt (- x 1)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×sqrt-prod
12×*-un-lft-identity sqrt-div
10×associate-*r*
7×pow1 associate-*l* add-cube-cbrt
5×add-exp-log
4×frac-times flip3-+ add-cbrt-cube flip-+ unswap-sqr
3×log-prod flip3-- pow-prod-down flip--
2×log-div sqrt-pow1 pow1/2 associate-*l/ associate-*r/ insert-posit16 add-log-exp difference-of-squares
1×sqrt-unprod difference-of-sqr-1 rem-log-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 59
Calls
2 calls:
4.0ms
(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
53.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))

series293.0ms

Counts
2 → 6
Calls
2 calls:
210.0ms
(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
83.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))

simplify1.5s

Counts
65 → 65
Iterations
IterNodes
done5000
32384
2809
1359
0165

prune209.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s16009×body80nan
987.0ms7582×body160nan
450.0ms8000×body80valid