Details

Time bar (total: 14.2s)

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
13.0ms
(+ (/ 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))

rewrite56.0ms

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
Counts
3 → 103
Calls
3 calls:
Slowest
39.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
8.0ms
(/ 1 (- x 1))
7.0ms
(/ x (+ x 1))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
104.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
37.0ms
(/ x (+ x 1))
25.0ms
(/ 1 (- x 1))

simplify3.6s

Counts
113 → 112
Calls
113 calls:
Slowest
263.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
257.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
246.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
225.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
201.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune745.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

16.5b
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
0.0b
(* (- x 1) (+ x 1))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×flip3-+ associate-*l* flip-+
6×flip3-- add-cube-cbrt flip--
4×pow1 associate-*r* associate-*l/ associate-*r/
3×times-frac associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 add-log-exp difference-of-squares associate-/l/
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in difference-of-sqr-1 pow-prod-down *-commutative div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
2 → 66
Calls
2 calls:
Slowest
44.0ms
(* (- x 1) (+ x 1))
25.0ms
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
97.0ms
(* (- x 1) (+ x 1))

simplify7.9s

Counts
57 → 72
Calls
57 calls:
Slowest
1.0s
(* (* (* (- x 1) (- x 1)) (- x 1)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
682.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
584.0ms
(/ (* (* (+ 1 (* x x)) (+ 1 (* x x))) (+ 1 (* x x))) (* (* (* (- x 1) (+ x 1)) (* (- x 1) (+ x 1))) (* (- x 1) (+ x 1))))
512.0ms
(* (- (* x x) (* 1 1)) (- (* x x) (* 1 1)))
426.0ms
(- (log (+ 1 (* x x))) (log (* (- x 1) (+ x 1))))

prune478.0ms

Pruning

2 alts after pruning (0 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

sample840.0ms

Algorithm
intervals
Results
729.0ms8000×body80valid