Details

Time bar (total: 42.3s)

sample299.0ms

Algorithm
intervals
Results
181.0ms108×body1280valid
69.0ms84×body640valid
15.0ms33×body320valid
11.0ms256×pre80true
7.0ms24×body160valid
1.0ms7×body80valid

simplify19.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
19.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.3b

localize34.0ms

Local error

Found 2 expressions with local error:

6.6b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log1p x))

rewrite25.0ms

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--
Counts
2 → 58
Calls
2 calls:
Slowest
14.0ms
(/ (log (- 1 x)) (log1p x))
10.0ms
(log (- 1 x))

series129.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(/ (log (- 1 x)) (log1p x))
29.0ms
(log (- 1 x))

simplify3.7s

Counts
50 → 64
Calls
50 calls:
Slowest
763.0ms
(- (+ (/ (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)))))))))))
476.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
439.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
365.0ms
(- (+ (* 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)))))
349.0ms
(/ (log (- (pow 1 3) (pow x 3))) (log1p x))

prune351.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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
Counts
1 → 30
Calls
1 calls:
Slowest
4.0ms
(/ (log1p (- x)) (log1p x))

series87.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
87.0ms
(/ (log1p (- x)) (log1p x))

simplify2.1s

Counts
28 → 33
Calls
28 calls:
Slowest
894.0ms
(- (+ (/ (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)))))))))))
431.0ms
(- (+ (* 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)))))
413.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
113.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
64.0ms
(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
1.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
1.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
1.0ms
(cbrt (/ (log1p (- x)) (log1p x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
510.0ms
(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
254.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
244.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
220.0ms
(cbrt (/ (log1p (- x)) (log1p x)))

simplify9.9s

Counts
152 → 168
Calls
152 calls:
Slowest
2.7s
(- (+ (* 4/9 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 14))) 1/3))) (+ (* 8/3 (* (/ (pow (log -1) 5) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 2/3 (* (/ 1 x) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 5/9 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 2)) 1/3) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 2/3 (* (/ 1 x) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 2 (* (/ (pow (log -1) 2) x) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 80/9 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)) (+ (* 1/3 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 8/3 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 17) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 2/3 (* (/ (pow (log -1) 2) x) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 1/3 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 4/9 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 14) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)) (+ (* 1/3 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ 1 (* (pow (log (/ -1 x)) 4) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 8/9 (* (/ (pow (log -1) 5) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 20))) 1/3))) (* 32/9 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3)))))))))))))))))))))) (+ (* 4/9 (* (/ (pow (log -1) 6) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)) (+ (* 20/3 (* (/ (pow (log -1) 4) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 28/9 (* (/ (pow (log -1) 4) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* 4/9 (* (/ (pow (log -1) 4) (pow x 2)) (pow (/ 1 (* (pow (log (/ -1 x)) 4) (pow (- (log -1) (log (/ -1 x))) 14))) 1/3))) (+ (* 20/3 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 14) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 4/9 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 20) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 2/3 (* (/ (pow (log -1) 3) x) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 4/3 (* (/ (log -1) x) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 8/9 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* 14/9 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 2/3 (* (/ (log -1) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 8/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* 2/3 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (* 2 (* (/ (log -1) x) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)))))))))))))))))))
711.0ms
(- (+ (* 4/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (log -1) (pow x 2)))) (+ (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (+ (pow (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))) 1/3) (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) x)))))) (+ (* 2/3 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 x))) (+ (* 1/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (pow (log -1) 2) (pow x 2)))) (+ (* 2/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 (pow x 2)))) (+ (* 1/6 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (* 4/9 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ 1 (pow x 2)))))))))
695.0ms
(- (+ (* 1/3 (* (/ 1 x) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (pow (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) 1/3) (+ (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 10))) 1/3))) (+ (* 2/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3)))))))))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 7) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))))))))
645.0ms
(- (+ (* 4/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (log -1) (pow x 2)))) (+ (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (+ (pow (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))) 1/3) (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) x)))))) (+ (* 2/3 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 x))) (+ (* 1/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (pow (log -1) 2) (pow x 2)))) (+ (* 2/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 (pow x 2)))) (+ (* 1/6 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (* 4/9 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ 1 (pow x 2)))))))))
642.0ms
(- (+ (* 1/3 (* (/ 1 x) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (pow (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) 1/3) (+ (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 10))) 1/3))) (+ (* 2/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3)))))))))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 7) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))))))))

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt times-frac
55×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube add-exp-log
13×cbrt-prod swap-sqr associate-*r* associate-*l*
11×pow1
7×div-inv
6×cbrt-undiv associate-/r* div-exp associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg
1×pow2 frac-times cbrt-div pow-plus pow1/3 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 155
Calls
4 calls:
Slowest
31.0ms
(* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))
8.0ms
(/ (log1p (- x)) (log1p x))
8.0ms
(/ (log1p (- x)) (log1p x))
3.0ms
(cbrt (/ (log1p (- x)) (log1p x)))

series577.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
142.0ms
(* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))
91.0ms
(/ (log1p (- x)) (log1p x))
90.0ms
(/ (log1p (- x)) (log1p x))

simplify10.5s

Counts
153 → 167
Calls
153 calls:
Slowest
879.0ms
(- (+ (* 2 (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 4 (/ (* (pow (log (/ -1 x)) 2) (pow (log -1) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 2)) (+ (* 3 (/ (pow (log (/ -1 x)) 2) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (/ (* (pow (log (/ -1 x)) 2) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4))) (+ (* 4 (/ (pow (log (/ -1 x)) 4) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (* 2 (/ (pow (log (/ -1 x)) 3) (* x (pow (- (log -1) (log (/ -1 x))) 4)))))))))))) (+ (* 4 (/ (* (log (/ -1 x)) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (* 8 (/ (* (pow (log (/ -1 x)) 3) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 2 (/ (* (pow (log (/ -1 x)) 2) (log -1)) (* x (pow (- (log -1) (log (/ -1 x))) 4)))) (/ (pow (log (/ -1 x)) 3) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))))))
774.0ms
(- (+ (/ (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)))))))))))
765.0ms
(- (+ (/ (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)))))))))))
684.0ms
(- (+ (* 4/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (log -1) (pow x 2)))) (+ (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (+ (pow (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))) 1/3) (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) x)))))) (+ (* 2/3 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 x))) (+ (* 1/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (pow (log -1) 2) (pow x 2)))) (+ (* 2/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 (pow x 2)))) (+ (* 1/6 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (* 4/9 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ 1 (pow x 2)))))))))
682.0ms
(- (+ (* 1/3 (* (/ 1 x) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (pow (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) 1/3) (+ (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 10))) 1/3))) (+ (* 2/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3)))))))))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 7) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))))))))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
6.0s3414×body1280valid
2.0s2483×body640valid
568.0ms1287×body320valid
298.0ms8000×pre80true
223.0ms589×body160valid
26.0ms227×body80valid