Details

Time bar (total: 30.2s)

sample272.0ms

Algorithm
intervals
Results
177.0ms123×body1280valid
55.0ms73×body640valid
15.0ms34×body320valid
9.0ms256×pre80true
4.0ms17×body160valid
1.0ms9×body80valid

simplify17.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize26.0ms

Local error

Found 3 expressions with local error:

5.1b
(log (- 1 x))
4.8b
(log (+ 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite38.0ms

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
17.0ms
(log (+ 1 x))
14.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
5.0ms
(log (- 1 x))

series167.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
105.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
37.0ms
(log (- 1 x))
24.0ms
(log (+ 1 x))

simplify4.6s

Counts
67 → 82
Calls
67 calls:
Slowest
868.0ms
(- (+ (/ (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)))))))))))
419.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
419.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
343.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
323.0ms
(- (+ (* 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)))))

prune702.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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
39.0ms
(+ (- -1 x) (* (* x x) -1/2))
25.0ms
(* (* x x) -1/2)

series49.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
28.0ms
(* (* x x) -1/2)
21.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify1.5s

Counts
18 → 42
Calls
18 calls:
Slowest
312.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
281.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
208.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
160.0ms
(* (/ (exp -1) (exp x)) (exp (* (* x x) -1/2)))
141.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

5.1b
(log (- 1 x))
5.1b
(log (+ (* 1 1) (- (* x x) (* 1 x))))
2.0b
(log (+ 1 (* x (* x x))))
0.1b
(* x (* x x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
13×log-prod
12×add-sqr-sqrt *-un-lft-identity add-exp-log
9×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-+ difference-of-squares
1×pow2 pow-plus flip3-- cube-unmult associate-*r* pow-sqr *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
4 → 74
Calls
4 calls:
Slowest
18.0ms
(* x (* x x))
12.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
3.0ms
(log (- 1 x))
2.0ms
(log (+ 1 (* x (* x x))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
454.0ms
(log (+ 1 (* x (* x x))))
49.0ms
(* x (* x x))
41.0ms
(log (- 1 x))
38.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))

simplify5.7s

Counts
48 → 86
Calls
48 calls:
Slowest
527.0ms
(log (+ (pow 1 3) (pow (* x (* x x)) 3)))
520.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
499.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
397.0ms
(- (+ (log -1) (/ 1 (pow x 3))) (+ (* 3 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 6)))))
380.0ms
(- (+ (* 1/3 (pow x 9)) (pow x 3)) (* 1/2 (pow x 6)))

prune838.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

5.1b
(log (- 1 x))
5.1b
(log (+ (* 1 1) (- (* x x) (* 1 x))))
5.1b
(log (+ (* 1 1) (- (* x x) (* 1 x))))
5.1b
(log (+ (* 1 1) (- (* x x) (* 1 x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
14×*-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
24.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
15.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
12.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
7.0ms
(log (- 1 x))

series156.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
43.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
38.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
37.0ms
(log (- 1 x))
36.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))

simplify5.2s

Counts
42 → 78
Calls
42 calls:
Slowest
433.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
421.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
405.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
322.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
291.0ms
(- (* 1/2 (/ 1 (pow x 2))) (+ (* 2 (log (/ -1 x))) (/ 1 x)))

prune757.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample8.9s

Algorithm
intervals
Results
5.6s3353×body1280valid
2.1s2525×body640valid
631.0ms1284×body320valid
287.0ms8000×pre80true
155.0ms605×body160valid
26.0ms233×body80valid