Details

Time bar (total: 41.5s)

sample29.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify20.0ms

Calls
1 calls:
Slowest
20.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
62×times-frac
35×add-cube-cbrt
27×fma-def
14×difference-of-squares
12×distribute-lft-out
11×associate-/r*
9×add-exp-log distribute-lft-out--
7×add-cbrt-cube difference-of-sqr-1
6×associate-/r/ associate-/l*
5×add-log-exp
4×pow1 div-inv
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Calls
3 calls:
Slowest
72.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
16.0ms
(/ 1 (- x 1))
15.0ms
(/ x (+ x 1))

series131.0ms

Calls
3 calls:
Slowest
82.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms
(/ x (+ x 1))
25.0ms
(/ 1 (- x 1))

simplify4.3s

Calls
138 calls:
Slowest
352.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
333.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
267.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
251.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
238.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

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))

rewrite317.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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
269.0ms
(cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
17.0ms
(/ 1 (- x 1))
15.0ms
(/ 1 (- x 1))
12.0ms
(/ 1 (- x 1))

series162.0ms

Calls
4 calls:
Slowest
107.0ms
(cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
23.0ms
(/ 1 (- x 1))
17.0ms
(/ 1 (- x 1))
15.0ms
(/ 1 (- x 1))

simplify31.9s

Calls
248 calls:
Slowest
967.0ms
(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))))
910.0ms
(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))))))
750.0ms
(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))))
692.0ms
(cbrt (* (* (+ (* 1 (+ x 1)) (* (- x 1) x)) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))))
662.0ms
(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))))

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample850.0ms

Algorithm
intervals
Results
717.0ms8000×body80valid