Details

Time bar (total: 9.0s)

sample28.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify13.0ms

Calls
1 calls:
Slowest
13.0ms
(/ x (+ (* x x) 1))

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize8.0ms

Local error

Found 1 expressions with local error:

17.5b
(/ x (+ (* x x) 1))

rewrite2.0ms

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

series21.0ms

Calls
1 calls:
Slowest
21.0ms
(/ x (+ (* x x) 1))

simplify575.0ms

Calls
8 calls:
Slowest
289.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
90.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
80.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
53.0ms
(- (+ x (pow x 5)) (pow x 3))
32.0ms
(- (* x x) 1)

prune104.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

23.8b
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
2.3b
(/ x (- (* (* x x) (* x x)) (* 1 1)))
0.1b
(* (* x x) (* x x))
0.0b
(- (* x x) 1)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
8×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
5×pow2 flip3-- associate-*r* flip--
4×associate-/r* associate-/r/ insert-posit16 add-log-exp
3×sub-neg pow-prod-down
2×distribute-rgt-in frac-times distribute-lft-in difference-of-sqr-1 prod-exp associate-*r/ *-commutative pow-prod-up cbrt-unprod div-inv
1×clear-num frac-2neg pow-plus associate-*l/ difference-of-squares
Calls
4 calls:
Slowest
18.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
12.0ms
(* (* x x) (* x x))
8.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
4.0ms
(- (* x x) 1)

series150.0ms

Calls
4 calls:
Slowest
61.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
52.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
22.0ms
(- (* x x) 1)
15.0ms
(* (* x x) (* x x))

simplify4.9s

Calls
49 calls:
Slowest
353.0ms
(* (- (* (* x x) (* x x)) (* 1 1)) (+ (* x x) 1))
308.0ms
(+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* 1 1) (* 1 1)) (* (* (* x x) (* x x)) (* 1 1))))
307.0ms
(/ x (- (pow (* (* x x) (* x x)) 3) (pow (* 1 1) 3)))
228.0ms
(* (- 1) (/ x (- (* (* x x) (* x x)) (* 1 1))))
228.0ms
(* (- 1) (/ x (- (* (* x x) (* x x)) (* 1 1))))

prune699.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

19.4b
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
0.3b
(/ 1 (pow x 5))
0.1b
(/ (/ 1 x) x)
0.1b
(/ (/ (/ 1 x) x) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×add-sqr-sqrt
8×associate-/l*
7×add-cube-cbrt
6×div-inv add-log-exp
5×add-exp-log
4×pow1 add-cbrt-cube insert-posit16
3×clear-num associate-/r* frac-2neg
2×rec-exp distribute-lft-out-- associate-/l/
1×pow-to-exp sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow difference-of-squares
Calls
4 calls:
Slowest
10.0ms
(/ (/ (/ 1 x) x) x)
10.0ms
(/ (/ 1 x) x)
6.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
2.0ms
(/ 1 (pow x 5))

series123.0ms

Calls
4 calls:
Slowest
63.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
29.0ms
(/ 1 (pow x 5))
18.0ms
(/ (/ (/ 1 x) x) x)
12.0ms
(/ (/ 1 x) x)

simplify819.0ms

Calls
29 calls:
Slowest
173.0ms
(- (* 1 x) (* (pow x 5) (/ (/ 1 x) x)))
81.0ms
(/ (exp (/ 1 (pow x 5))) (exp (/ (/ (/ 1 x) x) x)))
67.0ms
(- (sqrt (/ 1 (pow x 5))) (sqrt (/ (/ (/ 1 x) x) x)))
65.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))
62.0ms
(+ (sqrt (/ 1 (pow x 5))) (sqrt (/ (/ (/ 1 x) x) x)))

prune719.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.0b

bsearch84.0ms

end0.0ms

sample644.0ms

Algorithm
intervals
Results
553.0ms8000×body80valid