Details

Time bar (total: 25.7s)

sample349.0ms

Algorithm
intervals
Results
187.0ms97×body1280valid
84.0ms85×body640valid
30.0ms256×pre80true
22.0ms37×body320valid
9.0ms27×body160valid
1.0ms10×body80valid

simplify24.0ms

Calls
1 calls:
Slowest
24.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.6b

localize22.0ms

Local error

Found 2 expressions with local error:

7.1b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log1p x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
7×pow1
5×add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×log-prod associate-/r*
2×expm1-log1p-u log1p-def flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv clear-num sub-neg frac-2neg div-exp rem-log-exp div-inv
Calls
2 calls:
Slowest
12.0ms
(/ (log (- 1 x)) (log1p x))
2.0ms
(log (- 1 x))

series114.0ms

Calls
2 calls:
Slowest
80.0ms
(/ (log (- 1 x)) (log1p x))
34.0ms
(log (- 1 x))

simplify3.4s

Calls
47 calls:
Slowest
952.0ms
(- (+ (/ (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)))))))))))
406.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
384.0ms
(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))
299.0ms
(- (+ (* 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)))))
291.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune352.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (log1p (- x)) (log1p x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
8.0ms
(/ (log1p (- x)) (log1p x))

series101.0ms

Calls
1 calls:
Slowest
100.0ms
(/ (log1p (- x)) (log1p x))

simplify1.9s

Calls
28 calls:
Slowest
927.0ms
(- (+ (/ (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)))))))))))
305.0ms
(- (+ (* 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)))))
193.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
178.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
57.0ms
(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune273.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (log1p x) (log1p (- x))))
0.0b
(/ (log1p x) (log1p (- x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
7×add-exp-log
4×add-cbrt-cube
3×pow1 div-inv associate-/l*
2×expm1-log1p-u rec-exp clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv associate-/r/ pow-flip inv-pow
Calls
2 calls:
Slowest
8.0ms
(/ (log1p x) (log1p (- x)))
3.0ms
(/ 1 (/ (log1p x) (log1p (- x))))

series176.0ms

Calls
2 calls:
Slowest
96.0ms
(/ 1 (/ (log1p x) (log1p (- x))))
79.0ms
(/ (log1p x) (log1p (- x)))

simplify3.0s

Calls
46 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)))))))))))
653.0ms
(- (+ (/ 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)))))))))
383.0ms
(- (+ (* 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))))))))
325.0ms
(- (+ (* 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)))))
170.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune426.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1 (log1p x)) (/ 1 (log1p (- x))))
0.0b
(/ 1 (log1p x))
0.0b
(/ 1 (log1p (- x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-exp-log div-inv
10×associate-/r*
6×rec-exp
5×pow1 add-cbrt-cube
4×div-exp associate-/l*
3×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×cbrt-undiv associate-/r/ associate-/l/
Calls
3 calls:
Slowest
11.0ms
(/ (/ 1 (log1p x)) (/ 1 (log1p (- x))))
2.0ms
(/ 1 (log1p x))
2.0ms
(/ 1 (log1p (- x)))

series157.0ms

Calls
3 calls:
Slowest
79.0ms
(/ (/ 1 (log1p x)) (/ 1 (log1p (- x))))
44.0ms
(/ 1 (log1p x))
34.0ms
(/ 1 (log1p (- x)))

simplify5.4s

Calls
61 calls:
Slowest
1.1s
(/ (* (* (/ 1 (log1p x)) (/ 1 (log1p x))) (/ 1 (log1p x))) (* (* (/ 1 (log1p (- x))) (/ 1 (log1p (- x)))) (/ 1 (log1p (- x)))))
983.0ms
(- (+ (/ (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)))))))))))
488.0ms
(+ (/ 1 (- (log -1) (log (/ 1 x)))) (+ (/ 1 (* x (pow (- (log -1) (log (/ 1 x))) 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2)))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 3))))))
408.0ms
(- (+ (* 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)))))
311.0ms
(- (+ (/ 1 (* x (pow (log (/ -1 x)) 2))) (* 1/2 (/ 1 (* (pow x 2) (pow (log (/ -1 x)) 2))))) (+ (/ 1 (* (pow x 2) (pow (log (/ -1 x)) 3))) (/ 1 (log (/ -1 x)))))

prune626.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
5.4s3377×body1280valid
2.6s2514×body640valid
571.0ms1210×body320valid
343.0ms8000×pre80true
204.0ms654×body160valid
29.0ms245×body80valid