Details

Time bar (total: 31.2s)

sample304.0ms

Algorithm
intervals
Results
184.0ms108×body1280valid
71.0ms84×body640valid
15.0ms33×body320valid
11.0ms256×pre80true
7.0ms24×body160valid
1.0ms7×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize13.0ms

Local error

Found 3 expressions with local error:

6.7b
(log (+ 1 x))
6.6b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite49.0ms

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
40.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
4.0ms
(log (- 1 x))
3.0ms
(log (+ 1 x))

series183.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
103.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
43.0ms
(log (- 1 x))
37.0ms
(log (+ 1 x))

simplify4.6s

Counts
67 → 82
Calls
67 calls:
Slowest
845.0ms
(- (+ (/ (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)))))))))))
499.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
375.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
369.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
324.0ms
(- (+ (* 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)))))

prune688.0ms

Pruning

3 alts after pruning (3 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)

rewrite49.0ms

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
32.0ms
(+ (- -1 x) (* (* x x) -1/2))
16.0ms
(* (* x x) -1/2)

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(* (* x x) -1/2)
22.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify1.4s

Counts
18 → 42
Calls
18 calls:
Slowest
285.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
249.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
205.0ms
(* (/ (exp -1) (exp x)) (exp (* (* x x) -1/2)))
186.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
112.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune297.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

6.6b
(log (- 1 x))
6.6b
(log (+ (* 1 1) (- (* x x) (* 1 x))))
2.0b
(log (+ 1 (* x (* x x))))
0.1b
(* x (* x x))

rewrite63.0ms

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
26.0ms
(* x (* x x))
24.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
7.0ms
(log (- 1 x))
5.0ms
(log (+ 1 (* x (* x x))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
399.0ms
(log (+ 1 (* x (* x x))))
65.0ms
(* x (* x x))
53.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
47.0ms
(log (- 1 x))

simplify5.7s

Counts
48 → 86
Calls
48 calls:
Slowest
520.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
506.0ms
(log (+ (pow 1 3) (pow (* x (* x x)) 3)))
471.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
442.0ms
(- (+ (log -1) (/ 1 (pow x 3))) (+ (* 3 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 6)))))
440.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune870.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

6.6b
(log (- 1 x))
6.6b
(log (+ (* 1 1) (- (* x x) (* 1 x))))
6.6b
(log (+ (* 1 1) (- (* x x) (* 1 x))))
6.6b
(log (+ (* 1 1) (- (* x x) (* 1 x))))

rewrite54.0ms

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
22.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
13.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
11.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
7.0ms
(log (- 1 x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
49.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
41.0ms
(log (+ (* 1 1) (- (* x x) (* 1 x))))
40.0ms
(log (- 1 x))

simplify5.5s

Counts
42 → 78
Calls
42 calls:
Slowest
846.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
422.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
383.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
336.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
280.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes57.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
5.5s3414×body1280valid
2.5s2483×body640valid
599.0ms1287×body320valid
351.0ms8000×pre80true
181.0ms589×body160valid
27.0ms227×body80valid