Details

Time bar (total: 28.4s)

sample339.0ms

Algorithm
intervals
Results
233.0ms124×body1280valid
52.0ms59×body640valid
22.0ms44×body320valid
11.0ms256×pre80true
5.0ms20×body160valid
1.0ms9×body80valid

simplify12.0ms

Calls
1 calls:
Slowest
12.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.1b

localize16.0ms

Local error

Found 2 expressions with local error:

5.5b
(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))
3.0ms
(log (- 1 x))

series141.0ms

Calls
2 calls:
Slowest
89.0ms
(/ (log (- 1 x)) (log1p x))
52.0ms
(log (- 1 x))

simplify3.4s

Calls
47 calls:
Slowest
950.0ms
(- (+ (/ (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)))))))))))
383.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
367.0ms
(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))
344.0ms
(- (+ (* 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)))))
320.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune257.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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
7.0ms
(/ (log1p (- x)) (log1p x))

series103.0ms

Calls
1 calls:
Slowest
103.0ms
(/ (log1p (- x)) (log1p x))

simplify1.8s

Calls
28 calls:
Slowest
814.0ms
(- (+ (/ (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)))))))))))
336.0ms
(- (+ (* 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)))))
212.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
170.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
53.0ms
(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune285.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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
4.0ms
(/ (log1p x) (log1p (- x)))
2.0ms
(/ 1 (/ (log1p x) (log1p (- x))))

series216.0ms

Calls
2 calls:
Slowest
120.0ms
(/ (log1p x) (log1p (- x)))
96.0ms
(/ 1 (/ (log1p x) (log1p (- x))))

simplify3.2s

Calls
46 calls:
Slowest
957.0ms
(- (+ (/ (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)))))))))))
662.0ms
(- (+ (/ 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)))))))))
427.0ms
(- (+ (* 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))))))))
368.0ms
(- (+ (* 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)))))
168.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune531.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
22×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
9×pow1 associate-/r* associate-/l*
7×cbrt-undiv div-exp
5×div-inv
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ *-commutative pow-prod-up
Calls
4 calls:
Slowest
19.0ms
(* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x))))
9.0ms
(/ (log1p x) (log1p (- x)))
8.0ms
(/ (log1p x) (log1p (- x)))
8.0ms
(/ (log1p x) (log1p (- x)))

series472.0ms

Calls
4 calls:
Slowest
184.0ms
(* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x))))
116.0ms
(/ (log1p x) (log1p (- x)))
86.0ms
(/ (log1p x) (log1p (- x)))
86.0ms
(/ (log1p x) (log1p (- x)))

simplify7.0s

Calls
128 calls:
Slowest
633.0ms
(- (+ (/ (pow (log (/ 1 x)) 2) (pow (- (log -1) (log (/ 1 x))) 2)) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (+ (/ (* (pow (log (/ 1 x)) 2) (log -1)) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2))) (+ (* 4 (/ (* (pow (log (/ 1 x)) 2) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ 1 x))) 6) (pow x 2)))) (+ (* 4 (/ (pow (log (/ 1 x)) 4) (* (pow (- (log -1) (log (/ 1 x))) 6) (pow x 2)))) (+ (* 3 (/ (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2)))) (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (log -1)) (* (pow (- (log -1) (log (/ 1 x))) 4) x))) (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))))))))) (+ (* 2 (/ (pow (log (/ 1 x)) 3) (* (pow (- (log -1) (log (/ 1 x))) 4) x))) (+ (* 4 (/ (* (log (/ 1 x)) (log -1)) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x))) (+ (/ (pow (log (/ 1 x)) 3) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2))) (* 8 (/ (* (pow (log (/ 1 x)) 3) (log -1)) (* (pow (- (log -1) (log (/ 1 x))) 6) (pow x 2)))))))))
556.0ms
(- (+ (/ 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)))))))))
553.0ms
(- (+ (/ 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)))))))))
526.0ms
(- (+ (/ 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)))))))))
467.0ms
(- (+ (* 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))))))))

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.0s

Algorithm
intervals
Results
5.3s3506×body1280valid
2.0s2420×body640valid
647.0ms1260×body320valid
589.0ms616×body160valid
303.0ms8000×pre80true
49.0ms198×body80valid