Details

Time bar (total: 23.0s)

sample335.0ms

Algorithm
intervals
Results
191.0ms110×body1280valid
95.0ms91×body640valid
16.0ms32×body320valid
11.0ms256×pre80true
4.0ms15×body160valid
1.0ms8×body80valid

simplify23.0ms

Calls
1 calls:
Slowest
23.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.2b

localize21.0ms

Local error

Found 2 expressions with local error:

4.2b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log1p x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
7×pow1
6×log-prod
5×add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u log1p-def flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg div-exp rem-log-exp div-inv distribute-lft-out--
Calls
2 calls:
Slowest
25.0ms
(/ (log (- 1 x)) (log1p x))
9.0ms
(log (- 1 x))

series465.0ms

Calls
2 calls:
Slowest
397.0ms
(log (- 1 x))
68.0ms
(/ (log (- 1 x)) (log1p x))

simplify3.8s

Calls
50 calls:
Slowest
726.0ms
(- (+ (/ (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)))))))))))
426.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
411.0ms
(- (+ (* 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)))))
407.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
352.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune386.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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
5.0ms
(/ (log1p (- x)) (log1p x))

series108.0ms

Calls
1 calls:
Slowest
107.0ms
(/ (log1p (- x)) (log1p x))

simplify2.1s

Calls
28 calls:
Slowest
883.0ms
(- (+ (/ (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)))))))))))
442.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
311.0ms
(- (+ (* 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)))))
189.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
37.0ms
(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune229.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×times-frac
26×add-sqr-sqrt exp-prod *-un-lft-identity add-cube-cbrt
14×log-pow
5×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×expm1-log1p-u log-prod associate-/r* insert-posit16 log1p-expm1-u div-inv associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp rem-exp-log
Calls
3 calls:
Slowest
10.0ms
(log (exp (/ (log1p (- x)) (log1p x))))
9.0ms
(/ (log1p (- x)) (log1p x))
7.0ms
(exp (/ (log1p (- x)) (log1p x)))

series341.0ms

Calls
3 calls:
Slowest
156.0ms
(exp (/ (log1p (- x)) (log1p x)))
100.0ms
(/ (log1p (- x)) (log1p x))
84.0ms
(log (exp (/ (log1p (- x)) (log1p x))))

simplify4.9s

Calls
65 calls:
Slowest
816.0ms
(- (+ (/ (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)))))))))))
740.0ms
(- (+ (/ (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)))))))))))
441.0ms
(- (+ (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))))))))
422.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
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)))))

prune792.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.4s

Algorithm
intervals
Results
6.0s3438×body1280valid
2.2s2494×body640valid
571.0ms1233×body320valid
303.0ms8000×pre80true
161.0ms614×body160valid
27.0ms221×body80valid