Details

Time bar (total: 9.5s)

sample99.0ms

Algorithm
intervals
Results
50.0ms70×body1280valid
23.0ms54×body640valid
6.0ms26×body320valid
4.0ms91×body80valid
3.0ms99×body80nan
2.0ms15×body160valid

simplify13.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
13.0ms
(log (+ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize10.0ms

Local error

Found 1 expressions with local error:

3.5b
(log (+ 1 x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
log-prod *-un-lft-identity
add-sqr-sqrt pow1 log-div add-exp-log add-cube-cbrt
flip3-+ add-cbrt-cube rem-log-exp log-pow flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
Slowest
3.0ms
(log (+ 1 x))

series37.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
37.0ms
(log (+ 1 x))

simplify1.2s

Counts
24 → 19
Calls
24 calls:
Slowest
393.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
253.0ms
(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
175.0ms
(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
83.0ms
(* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)))
55.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x 1/3)
0.0b
(* (+ -1/2 (* x 1/3)) (* x x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
associate-*l*
*-un-lft-identity add-cube-cbrt
associate-*r* pow-prod-down prod-exp cbrt-unprod
associate-*l/ *-commutative insert-posit16 add-log-exp unswap-sqr
flip3-+ flip-+
Counts
2 → 41
Calls
2 calls:
Slowest
27.0ms
(* (+ -1/2 (* x 1/3)) (* x x))
5.0ms
(* x 1/3)

series127.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(* (+ -1/2 (* x 1/3)) (* x x))
20.0ms
(* x 1/3)

simplify3.5s

Counts
47 → 47
Calls
47 calls:
Slowest
428.0ms
(exp (* (+ -1/2 (* x 1/3)) (* x x)))
245.0ms
(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
240.0ms
(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
232.0ms
(* (* (* (+ -1/2 (* x 1/3)) (* x x)) (* (+ -1/2 (* x 1/3)) (* x x))) (* (+ -1/2 (* x 1/3)) (* x x)))
222.0ms
(* (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3))) (* (* (* x x) x) (* (* x x) x)))

prune397.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.0b

bsearch44.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.3s2371×body1280valid
687.0ms1651×body640valid
177.0ms817×body320valid
142.0ms2714×body80valid
133.0ms2732×body80nan
59.0ms447×body160valid