Details

Time bar (total: 15.9s)

sample26.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify56.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
56.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
39×add-sqr-sqrt
33×times-frac
23×add-cube-cbrt
11×associate-/r*
add-exp-log difference-of-squares
add-cbrt-cube associate-/l*
difference-of-sqr-1 associate-/r/ distribute-lft-out distribute-lft-out--
pow1 div-exp
expm1-log1p-u cbrt-undiv clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv add-log-exp
rec-exp flip3-+ flip3-- 1-exp flip-+ pow-flip flip-- inv-pow
Counts
2 → 88
Calls
2 calls:
Slowest
20.0ms
(/ 1 (- x 1))
16.0ms
(/ x (+ x 1))

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ x (+ x 1))
23.0ms
(/ 1 (- x 1))

simplify2.7s

Counts
97 → 94
Calls
97 calls:
Slowest
375.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
269.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
182.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
165.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
158.0ms
(- (+ x (pow x 3)) (pow x 2))

prune634.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

17.8b
(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
0.7b
(/ 1 (- (* x x) (* 1 1)))
0.0b
(/ x (+ x 1))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
38×times-frac
37×add-sqr-sqrt
30×add-cube-cbrt
18×associate-*l* add-exp-log
12×add-cbrt-cube
associate-/r*
difference-of-squares
pow1 associate-/r/ associate-/l*
div-exp distribute-lft-out
associate-*r* prod-exp
expm1-log1p-u cbrt-undiv flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-times rec-exp clear-num frac-2neg flip3-- 1-exp associate-*r/ cbrt-unprod flip--
distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 126
Calls
3 calls:
Slowest
66.0ms
(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
25.0ms
(/ 1 (- (* x x) (* 1 1)))
15.0ms
(/ x (+ x 1))

series141.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
59.0ms
(/ 1 (- (* x x) (* 1 1)))
43.0ms
(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
39.0ms
(/ x (+ x 1))

simplify9.7s

Counts
121 → 135
Calls
121 calls:
Slowest
1.0s
(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
522.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1))) (- (* x x) (* 1 1))))
442.0ms
(* (- (* x x) (* 1 1)) (- x 1))
318.0ms
(/ 1 (- (pow (* x x) 3) (pow (* 1 1) 3)))
283.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample889.0ms

Algorithm
intervals
Results
793.0ms8000×body80valid