Details

Time bar (total: 24.1s)

sample281.0ms

Algorithm
intervals
Results
166.0ms110×body1280valid
65.0ms79×body640valid
19.0ms42×body320valid
10.0ms256×pre80true
5.0ms17×body160valid
1.0ms8×body80valid

simplify44.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
44.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize26.0ms

Local error

Found 3 expressions with local error:

5.4b
(log (+ 1 x))
5.4b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite23.0ms

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
13.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
6.0ms
(log (+ 1 x))
4.0ms
(log (- 1 x))

series155.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
94.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
33.0ms
(log (+ 1 x))
27.0ms
(log (- 1 x))

simplify4.7s

Counts
67 → 82
Calls
67 calls:
Slowest
831.0ms
(- (+ (/ (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)))))))))))
473.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
421.0ms
(- (+ (* 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)))))
382.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
364.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))

prune868.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
4×add-sqr-sqrt
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-+l+ sum-log insert-posit16
1×+-commutative sub-neg flip3-+ diff-log associate-*l* *-commutative associate-+l- flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
Slowest
37.0ms
(+ (- -1 x) (* (* x x) -1/2))
15.0ms
(* (* x x) -1/2)

series60.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(* (* x x) -1/2)
22.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify1.4s

Counts
18 → 42
Calls
18 calls:
Slowest
263.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
244.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
206.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
168.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
155.0ms
(* (/ (exp -1) (exp x)) (exp (* (* x x) -1/2)))

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
6×add-sqr-sqrt
5×*-un-lft-identity
3×diff-log associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×sub-neg insert-posit16 associate--r+
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
2 → 39
Calls
2 calls:
Slowest
33.0ms
(* (* x x) -1/2)
17.0ms
(- -1 (- x (* (* x x) -1/2)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(* (* x x) -1/2)
32.0ms
(- -1 (- x (* (* x x) -1/2)))

simplify1.9s

Counts
24 → 45
Calls
24 calls:
Slowest
287.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
283.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
243.0ms
(/ (exp -1) (exp (- x (* (* x x) -1/2))))
195.0ms
(/ (exp -1) (/ (exp x) (exp (* (* x x) -1/2))))
147.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.4b
(log (+ 1 x))
5.4b
(log (+ 1 x))
5.4b
(log (+ 1 x))
5.4b
(log (- 1 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
17×*-un-lft-identity
11×add-sqr-sqrt
8×pow1 log-div add-exp-log add-cube-cbrt
4×add-cbrt-cube rem-log-exp log-pow insert-posit16 add-log-exp
3×flip3-+ flip-+ distribute-lft-out
2×difference-of-squares
1×flip3-- flip-- distribute-lft-out--
Counts
4 → 66
Calls
4 calls:
Slowest
4.0ms
(log (- 1 x))
3.0ms
(log (+ 1 x))
3.0ms
(log (+ 1 x))
3.0ms
(log (+ 1 x))

series161.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
43.0ms
(log (+ 1 x))
41.0ms
(log (- 1 x))
39.0ms
(log (+ 1 x))
38.0ms
(log (+ 1 x))

simplify3.5s

Counts
42 → 78
Calls
42 calls:
Slowest
465.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
370.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
335.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
321.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
239.0ms
(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune666.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample9.4s

Algorithm
intervals
Results
5.8s3428×body1280valid
2.2s2503×body640valid
621.0ms1210×body320valid
335.0ms8000×pre80true
171.0ms635×body160valid
26.0ms224×body80valid