Details

Time bar (total: 18.3s)

sample27.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify19.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

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
Counts
3 → 136
Calls
3 calls:
Slowest
66.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms
(/ 1 (- x 1))
17.0ms
(/ x (+ x 1))

series144.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
91.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
38.0ms
(/ x (+ x 1))
14.0ms
(/ 1 (- x 1))

simplify7.2s

Counts
154 → 145
Calls
154 calls:
Slowest
544.0ms
(* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
394.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
325.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
311.0ms
(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
308.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune986.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))

rewrite6.0ms

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
6.0ms
(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))

series105.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
105.0ms
(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))

simplify8.4s

Counts
43 → 33
Calls
43 calls:
Slowest
574.0ms
(/ (* (* (fma x x 1) (fma x x 1)) (fma x x 1)) (* (* (fma (+ -1 x) x (+ -1 x)) (fma (+ -1 x) x (+ -1 x))) (fma (+ -1 x) x (+ -1 x))))
305.0ms
(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (sqrt (fma (+ -1 x) x (+ -1 x))))
298.0ms
(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt (fma (+ -1 x) x (+ -1 x))) (cbrt (fma (+ -1 x) x (+ -1 x)))))
294.0ms
(/ (fma x x 1) (sqrt (fma (+ -1 x) x (+ -1 x))))
280.0ms
(* (cbrt (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))) (cbrt (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))))

prune277.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample889.0ms

Algorithm
intervals
Results
769.0ms8000×body80valid