Details

Time bar (total: 39.4s)

sample270.0ms

Algorithm
intervals
Results
168.0ms108×body1280valid
62.0ms85×body640valid
14.0ms36×body320valid
9.0ms256×pre80true
5.0ms21×body160valid
1.0ms6×body80valid

simplify12.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
11.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize13.0ms

Local error

Found 3 expressions with local error:

5.9b
(log (- 1 x))
5.9b
(log (+ 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite33.0ms

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
23.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
6.0ms
(log (+ 1 x))
4.0ms
(log (- 1 x))

series151.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
91.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
30.0ms
(log (+ 1 x))
29.0ms
(log (- 1 x))

simplify4.5s

Counts
67 → 82
Calls
67 calls:
Slowest
819.0ms
(- (+ (/ (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)))))))))))
456.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
383.0ms
(- (+ (* 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)))))
380.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
366.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune716.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×associate-*l* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
Slowest
16.0ms
(* (* x x) -1/2)

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(* (* x x) -1/2)

simplify651.0ms

Counts
13 → 23
Calls
13 calls:
Slowest
277.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
248.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
23.0ms
(* (* x x) -1/2)
20.0ms
(* -1/2 (pow x 2))
17.0ms
(+ (log (* x x)) (log -1/2))

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.9b
(log (- 1 x))
5.9b
(log (+ 1 x))
0.0b
(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
0.0b
(/ (log (+ 1 x)) (log (- 1 x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
78×*-un-lft-identity
76×add-sqr-sqrt
73×add-cube-cbrt
49×pow1
44×log-pow
24×associate-/r*
19×add-exp-log
11×add-cbrt-cube
10×log-prod
8×div-exp
7×associate-/l*
6×log-div div-inv
4×cbrt-undiv insert-posit16 add-log-exp
2×rec-exp clear-num frac-2neg flip3-+ 1-exp div-sub rem-log-exp flip-+ difference-of-squares
1×flip3-- associate-/r/ pow-flip flip-- distribute-lft-out distribute-lft-out-- inv-pow
Counts
4 → 178
Calls
4 calls:
Slowest
11.0ms
(/ (log (+ 1 x)) (log (- 1 x)))
7.0ms
(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
4.0ms
(log (- 1 x))
3.0ms
(log (+ 1 x))

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(/ (log (+ 1 x)) (log (- 1 x)))
94.0ms
(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
29.0ms
(log (+ 1 x))
24.0ms
(log (- 1 x))

simplify13.5s

Counts
220 → 190
Calls
220 calls:
Slowest
829.0ms
(- (+ (/ (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)))))))))))
538.0ms
(- (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (/ 1 (* x (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (- (log -1) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x)) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))) (* 1/2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))))))))
535.0ms
(/ (* (* 1 1) 1) (* (* (/ (log (+ 1 x)) (log (- 1 x))) (/ (log (+ 1 x)) (log (- 1 x)))) (/ (log (+ 1 x)) (log (- 1 x)))))
516.0ms
(- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (/ (log -1) (* x (pow (log (/ -1 x)) 2))) 1))) (+ (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 3))) (+ (/ (log -1) (log (/ -1 x))) (* 2 (/ 1 (* x (log (/ -1 x))))))))
430.0ms
(/ (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))) (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))))

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.9b
(log (- 1 x))
5.9b
(log (+ 1 x))
0.0b
(exp (/ (log (- 1 x)) (log (+ 1 x))))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
32×times-frac
30×*-un-lft-identity
28×add-sqr-sqrt
25×add-cube-cbrt
24×pow1
20×exp-prod log-pow
10×log-prod
8×log-div add-exp-log
6×add-cbrt-cube
5×add-log-exp
4×associate-/r* div-sub insert-posit16 associate-/l*
3×flip3-- div-inv flip--
2×exp-diff rem-log-exp difference-of-squares
1×cbrt-undiv clear-num frac-2neg flip3-+ exp-to-pow div-exp flip-+ distribute-lft-out distribute-lft-out-- rem-exp-log
Counts
4 → 105
Calls
4 calls:
Slowest
15.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
11.0ms
(exp (/ (log (- 1 x)) (log (+ 1 x))))
7.0ms
(log (- 1 x))
6.0ms
(log (+ 1 x))

series306.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(exp (/ (log (- 1 x)) (log (+ 1 x))))
90.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
43.0ms
(log (+ 1 x))
28.0ms
(log (- 1 x))

simplify6.6s

Counts
94 → 117
Calls
94 calls:
Slowest
750.0ms
(- (+ (/ (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)))))))))))
498.0ms
(- (+ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (+ (* 1/2 (/ (* (pow (log (/ -1 x)) 2) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (/ (* (log (/ -1 x)) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (* 3/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))) (+ (* 2 (/ (* (log (/ -1 x)) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (* 1/2 (/ (* (log (/ -1 x)) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))
429.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
346.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
337.0ms
(exp (/ (log (- (pow 1 3) (pow x 3))) (log (+ 1 x))))

prune941.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample9.4s

Algorithm
intervals
Results
5.8s3460×body1280valid
2.2s2477×body640valid
659.0ms1286×body320valid
372.0ms8000×pre80true
156.0ms580×body160valid
23.0ms197×body80valid