Details

Time bar (total: 11.1s)

sample26.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify21.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.0b

localize15.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ x (+ (* x x) 1))

rewrite3.0ms

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
3.0ms
(/ x (+ (* x x) 1))

series20.0ms

Calls
1 calls:
Slowest
20.0ms
(/ x (+ (* x x) 1))

simplify642.0ms

Calls
8 calls:
Slowest
302.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
112.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
104.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
52.0ms
(- (+ x (pow x 5)) (pow x 3))
44.0ms
(- (* x x) 1)

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ (/ x 1) (+ (* x x) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×div-inv
4×associate-/l*
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 add-log-exp associate-/l/
Calls
1 calls:
Slowest
8.0ms
(/ (/ x 1) (+ (* x x) 1))

series27.0ms

Calls
1 calls:
Slowest
27.0ms
(/ (/ x 1) (+ (* x x) 1))

simplify1.2s

Calls
36 calls:
Slowest
266.0ms
(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
138.0ms
(/ (* (* (/ x 1) (/ x 1)) (/ x 1)) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
109.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
94.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
65.0ms
(- (log (/ x 1)) (log (+ (* x x) 1)))

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

24.2b
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
2.1b
(/ x (- (* (* x x) (* x x)) (* 1 1)))
0.1b
(* (* x x) (* x x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
7×add-cbrt-cube associate-*l* add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow2 associate-*r*
4×associate-/r* flip3-- associate-/r/ flip--
3×pow-prod-down insert-posit16 add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in prod-exp associate-*r/ *-commutative pow-prod-up cbrt-unprod div-inv
1×clear-num frac-2neg pow-plus difference-of-sqr-1 associate-*l/ difference-of-squares
Calls
3 calls:
Slowest
22.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
8.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
8.0ms
(* (* x x) (* x x))

series110.0ms

Calls
3 calls:
Slowest
49.0ms
(/ x (- (* (* x x) (* x x)) (* 1 1)))
48.0ms
(* (/ x (- (* (* x x) (* x x)) (* 1 1))) (- (* x x) 1))
13.0ms
(* (* x x) (* x x))

simplify5.5s

Calls
45 calls:
Slowest
603.0ms
(* (- 1) (/ x (- (* (* x x) (* x x)) (* 1 1))))
358.0ms
(+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* 1 1) (* 1 1)) (* (* (* x x) (* x x)) (* 1 1))))
349.0ms
(* (- (* (* x x) (* x x)) (* 1 1)) (+ (* x x) 1))
341.0ms
(/ x (- (pow (* (* x x) (* x x)) 3) (pow (* 1 1) 3)))
281.0ms
(+ (log (/ x (- (* (* x x) (* x x)) (* 1 1)))) (log (- (* x x) 1)))

prune508.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

18.1b
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
0.2b
(/ (/ 1 x) x)
0.1b
(/ 1 (pow x 5))
0.1b
(/ (/ (/ 1 x) x) x)

rewrite17.0ms

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
7.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
5.0ms
(/ (/ (/ 1 x) x) x)
3.0ms
(/ (/ 1 x) x)
1.0ms
(/ 1 (pow x 5))

series121.0ms

Calls
4 calls:
Slowest
56.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
29.0ms
(/ 1 (pow x 5))
22.0ms
(/ (/ (/ 1 x) x) x)
14.0ms
(/ (/ 1 x) x)

simplify883.0ms

Calls
29 calls:
Slowest
164.0ms
(- (* 1 x) (* (pow x 5) (/ (/ 1 x) x)))
79.0ms
(/ (exp (/ 1 (pow x 5))) (exp (/ (/ (/ 1 x) x) x)))
75.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))
72.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))
68.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))

prune713.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch105.0ms

end0.0ms

sample646.0ms

Algorithm
intervals
Results
555.0ms8000×body80valid