Details

Time bar (total: 40.1s)

sample35.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify26.0ms

Calls
1 calls:
Slowest
26.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
41×times-frac
40×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
11×associate-/r*
9×add-exp-log
8×difference-of-squares
7×add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×pow1 difference-of-sqr-1 associate-/r/
3×div-exp insert-posit16 div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip-+
1×+-commutative rec-exp sum-log flip3-- 1-exp frac-add pow-flip flip-- inv-pow
Calls
3 calls:
Slowest
69.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
16.0ms
(/ 1 (- x 1))
15.0ms
(/ x (+ x 1))

series114.0ms

Calls
3 calls:
Slowest
66.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms
(/ 1 (- x 1))
23.0ms
(/ x (+ x 1))

simplify3.6s

Calls
113 calls:
Slowest
284.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
271.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
246.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
241.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
227.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune824.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (- x 1))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
81×frac-times
76×*-un-lft-identity
63×cbrt-div times-frac
48×flip3-+ frac-add flip-+
40×add-cube-cbrt
27×associate-*l/
24×difference-of-squares
21×associate-/r*
16×add-exp-log
15×associate-*r/
12×difference-of-sqr-1 distribute-lft-out--
10×add-cbrt-cube
9×associate-/l*
7×pow1
6×div-exp associate-/r/
4×insert-posit16 add-log-exp
3×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp div-inv pow-flip flip-- inv-pow
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
290.0ms
(cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
17.0ms
(/ 1 (- x 1))
17.0ms
(/ 1 (- x 1))
16.0ms
(/ 1 (- x 1))

series185.0ms

Calls
4 calls:
Slowest
119.0ms
(cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
24.0ms
(/ 1 (- x 1))
24.0ms
(/ 1 (- x 1))
18.0ms
(/ 1 (- x 1))

simplify31.4s

Calls
248 calls:
Slowest
1.0s
(cbrt (* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))))
866.0ms
(cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (* 1 (+ x 1)) (* (- x 1) x))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))))
817.0ms
(cbrt (* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))) (+ (* 1 (+ x 1)) (* (- x 1) x))))
779.0ms
(cbrt (* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (+ (* 1 (+ x 1)) (* (- x 1) x))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))))
701.0ms
(cbrt (* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))))

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample862.0ms

Algorithm
intervals
Results
738.0ms8000×body80valid