Details

Time bar (total: 10.9s)

sample36.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify12.0ms

Calls
1 calls:
Slowest
11.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×associate-/r*
5×add-sqr-sqrt add-cube-cbrt add-log-exp
4×pow1 add-exp-log associate-/r/
3×add-cbrt-cube insert-posit16 div-inv
2×clear-num frac-2neg flip3-+ flip-+ distribute-lft-out
1×+-commutative rec-exp sum-log flip3-- frac-add pow-flip flip-- inv-pow
Calls
3 calls:
Slowest
6.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
1.0ms
(/ 1 (- x 1))
1.0ms
(/ x (+ x 1))

series50.0ms

Calls
3 calls:
Slowest
34.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
10.0ms
(/ x (+ x 1))
6.0ms
(/ 1 (- x 1))

simplify1.1s

Calls
25 calls:
Slowest
148.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))
143.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
110.0ms
(- (+ x (+ (pow x 2) 1)))
104.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))
75.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))

prune457.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×associate-/r*
5×add-sqr-sqrt add-cube-cbrt add-log-exp
4×pow1 add-exp-log associate-/r/
3×add-cbrt-cube insert-posit16 div-inv
2×clear-num frac-2neg flip3-+ flip-+ distribute-lft-out
1×+-commutative rec-exp sum-log flip3-- frac-add pow-flip flip-- inv-pow
Calls
3 calls:
Slowest
6.0ms
(+ (/ x (+ x 1)) (/ 1 (- x 1)))
1.0ms
(/ 1 (- x 1))
1.0ms
(/ x (+ x 1))

series48.0ms

Calls
3 calls:
Slowest
31.0ms
(+ (/ x (+ x 1)) (/ 1 (- x 1)))
10.0ms
(/ x (+ x 1))
6.0ms
(/ 1 (- x 1))

simplify1.0s

Calls
25 calls:
Slowest
143.0ms
(+ (* x (- x 1)) (* (+ x 1) 1))
128.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
95.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))
71.0ms
(- (+ x (+ (pow x 2) 1)))
66.0ms
(- (+ x (pow x 3)) (pow x 2))

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

13.9b
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
0.0b
(* (- x 1) (+ x 1))
0.0b
(+ 1 (* x x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
8×frac-times flip3-+ associate-/r/ flip-+
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×flip3-- flip--
5×pow1
4×associate-*l/ associate-*r/
3×times-frac associate-*r* associate-*l* insert-posit16 associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/
1×distribute-rgt-in +-commutative clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv
Calls
3 calls:
Slowest
18.0ms
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
8.0ms
(* (- x 1) (+ x 1))
1.0ms
(+ 1 (* x x))

series80.0ms

Calls
3 calls:
Slowest
31.0ms
(* (- x 1) (+ x 1))
26.0ms
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
23.0ms
(+ 1 (* x x))

simplify5.7s

Calls
54 calls:
Slowest
799.0ms
(* (* (* (- x 1) (- x 1)) (- x 1)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
402.0ms
(/ (* (* (+ 1 (* x x)) (+ 1 (* x x))) (+ 1 (* x x))) (* (* (* (- x 1) (+ x 1)) (* (- x 1) (+ x 1))) (* (- x 1) (+ x 1))))
369.0ms
(* (- (* x x) (* 1 1)) (+ (pow x 3) (pow 1 3)))
356.0ms
(- (log (+ 1 (* x x))) (log (* (- x 1) (+ x 1))))
346.0ms
(/ (* (* (+ 1 (* x x)) (+ 1 (* x x))) (+ 1 (* x x))) (* (* (* (- x 1) (- x 1)) (- x 1)) (* (* (+ x 1) (+ x 1)) (+ x 1))))

prune478.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid