Details

Time bar (total: 10.4s)

sample90.0ms

Algorithm
intervals
Results
18.0ms50×body1280valid
15.0ms240×body80nan
14.0ms129×body80valid
11.0ms42×body640valid
6.0ms22×body320valid
2.0ms13×body160valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
111
06

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x 1))
4.1b
(- (sqrt (+ x 1)) (sqrt x))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity sqrt-prod
add-log-exp difference-of-squares
pow1 add-cube-cbrt distribute-lft-out--
add-cbrt-cube sqrt-div add-exp-log insert-posit16 distribute-lft-out
rem-sqrt-square sub-neg sqrt-pow1 flip3-+ flip3-- pow1/2 diff-log flip-+ flip--
Counts
2 → 37
Calls
2 calls:
11.0ms
(sqrt (+ x 1))
93.0ms
(- (sqrt (+ x 1)) (sqrt x))

series188.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(sqrt (+ x 1))
139.0ms
(- (sqrt (+ x 1)) (sqrt x))

simplify3.4s

Counts
43 → 43
Iterations
IterNodes
54023
41576
3719
2348
1161
081

prune464.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (sqrt (+ x 1)) (sqrt x))
0.0b
(sqrt (+ x 1))
0.1b
(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
24×sqrt-prod
21×distribute-lft-out
18×times-frac
16×add-sqr-sqrt
15×add-cube-cbrt
add-exp-log
associate-/r*
pow1 add-cbrt-cube add-log-exp
flip3-+ flip-+ insert-posit16 associate-/l*
sqrt-div div-exp associate-/r/
cbrt-undiv +-commutative rem-sqrt-square rec-exp clear-num sum-log frac-2neg sqrt-pow1 pow1/2 1-exp div-inv pow-flip inv-pow
Counts
3 → 78
Calls
3 calls:
46.0ms
(+ (sqrt (+ x 1)) (sqrt x))
11.0ms
(sqrt (+ x 1))
73.0ms
(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(+ (sqrt (+ x 1)) (sqrt x))
46.0ms
(sqrt (+ x 1))
149.0ms
(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

simplify1.4s

Counts
87 → 87
Iterations
IterNodes
42168
31009
2522
1238
0120

prune926.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
216
116
011

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s1332×body640valid
689.0ms1682×body1280valid
540.0ms7966×body80nan
353.0ms4025×body80valid
169.0ms646×body320valid
41.0ms315×body160valid