Details

Time bar (total: 31.0s)

sample294.0ms

Algorithm
intervals
Results
171.0ms102×body1280valid
71.0ms84×body640valid
21.0ms44×body320valid
10.0ms256×pre80true
5.0ms17×body160valid
1.0ms9×body80valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize28.0ms

Local error

Found 3 expressions with local error:

5.5b
(log (+ 1 x))
5.3b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
10×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×insert-posit16 add-log-exp
2×flip3-- div-sub rem-log-exp flip-- difference-of-squares
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out--
Counts
3 → 73
Calls
3 calls:
Slowest
43.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms
(log (- 1 x))
6.0ms
(log (+ 1 x))

series166.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
108.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
35.0ms
(log (+ 1 x))
23.0ms
(log (- 1 x))

simplify6.2s

Counts
113 → 82
Calls
113 calls:
Slowest
821.0ms
(- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))
477.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
387.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
363.0ms
(- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x)))))
363.0ms
(/ (log (- (pow 1 3) (pow x 3))) (log (+ 1 x)))

prune717.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
2×associate-+l+ sum-log
1×add-sqr-sqrt pow1 +-commutative sub-neg *-un-lft-identity flip3-+ add-cbrt-cube diff-log add-exp-log add-cube-cbrt associate-+l- flip-+ insert-posit16
Counts
1 → 16
Calls
1 calls:
Slowest
26.0ms
(+ (- -1 x) (* (* x x) -1/2))

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
35.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify3.1s

Counts
20 → 19
Calls
20 calls:
Slowest
407.0ms
(+ (* (- -1 x) (- -1 x)) (- (* (* (* x x) -1/2) (* (* x x) -1/2)) (* (- -1 x) (* (* x x) -1/2))))
337.0ms
(+ (pow (- -1 x) 3) (pow (* (* x x) -1/2) 3))
265.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
250.0ms
(- (* (- -1 x) (- -1 x)) (* (* (* x x) -1/2) (* (* x x) -1/2)))
186.0ms
(exp (+ (- -1 x) (* (* x x) -1/2)))

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune6.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.5b
(log (+ 1 x))
5.5b
(log (+ (+ (* x x) x) 1))
2.0b
(log (- 1 (* x (* x x))))
0.1b
(* x (* x x))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
12×*-un-lft-identity add-exp-log
11×log-prod
9×add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt
6×log-div
5×pow-prod-up
4×insert-posit16 add-log-exp
3×rem-log-exp associate-*l* pow-prod-down prod-exp log-pow cbrt-unprod
2×flip3-+ flip-+ distribute-lft-out
1×pow2 pow-plus flip3-- cube-unmult associate-*r* pow-sqr *-commutative flip-- unswap-sqr
Counts
4 → 72
Calls
4 calls:
Slowest
28.0ms
(* x (* x x))
15.0ms
(log (+ (+ (* x x) x) 1))
5.0ms
(log (- 1 (* x (* x x))))
3.0ms
(log (+ 1 x))

series579.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
477.0ms
(log (- 1 (* x (* x x))))
45.0ms
(* x (* x x))
34.0ms
(log (+ (+ (* x x) x) 1))
23.0ms
(log (+ 1 x))

simplify9.3s

Counts
97 → 84
Calls
97 calls:
Slowest
513.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
458.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
436.0ms
(- (+ (* 3 (log (/ -1 x))) (+ (/ 1 (pow x 3)) (* 1/2 (/ 1 (pow x 6))))))
411.0ms
(log (+ (* (+ (* x x) x) (+ (* x x) x)) (- (* 1 1) (* (+ (* x x) x) 1))))
408.0ms
(* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))

prune557.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample9.6s

Algorithm
intervals
Results
5.9s3420×body1280valid
2.4s2542×body640valid
599.0ms1233×body320valid
362.0ms8000×pre80true
201.0ms602×body160valid
25.0ms203×body80valid