Details

Time bar (total: 16.2s)

sample28.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
8.0ms256×pre80true

simplify98.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
98.0ms
(+ (* x (* x x)) (* x x))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
0.0b
(+ (* x (* x x)) (* x x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×pow2 +-commutative sum-log distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 39
Calls
2 calls:
Slowest
23.0ms
(+ (* x (* x x)) (* x x))
13.0ms
(* x (* x x))

series146.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
102.0ms
(+ (* x (* x x)) (* x x))
44.0ms
(* x (* x x))

simplify1.4s

Counts
23 → 45
Calls
23 calls:
Slowest
494.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
455.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
230.0ms
(* (exp (* x (* x x))) (exp (* x x)))
36.0ms
(+ (pow x 3) (pow x 2))
30.0ms
(* x (* x x))

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x (* x x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ distribute-rgt-out pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
11.0ms
(* x (+ x (* x x)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
81.0ms
(* x (+ x (* x x)))

simplify892.0ms

Counts
18 → 28
Calls
18 calls:
Slowest
257.0ms
(+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))
220.0ms
(* (* (* x x) x) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))))
98.0ms
(* x (+ x (* x x)))
45.0ms
(+ (pow x 3) (pow x 2))
42.0ms
(+ (pow x 3) (pow x 2))

prune171.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

26.6b
(sqrt (* x (+ x (* x x))))
26.6b
(sqrt (* x (+ x (* x x))))
0.0b
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
0.0b
(* x (+ x (* x x)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×pow1/2
11×*-un-lft-identity
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×frac-times swap-sqr insert-posit16 add-log-exp
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus distribute-rgt-out sqrt-unprod distribute-rgt1-in
Counts
4 → 111
Calls
4 calls:
Slowest
63.0ms
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
13.0ms
(* x (+ x (* x x)))
4.0ms
(sqrt (* x (+ x (* x x))))
4.0ms
(sqrt (* x (+ x (* x x))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(* x (+ x (* x x)))
77.0ms
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
67.0ms
(sqrt (* x (+ x (* x x))))
59.0ms
(sqrt (* x (+ x (* x x))))

simplify10.7s

Counts
113 → 123
Calls
113 calls:
Slowest
386.0ms
(* (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))) (sqrt (* x (- (* x x) (* (* x x) (* x x))))))
342.0ms
(* (sqrt (* x (- (* x x) (* (* x x) (* x x))))) (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))))
338.0ms
(* (sqrt (* x (- (* x x) (* (* x x) (* x x))))) (sqrt (* x (+ x (* x x)))))
319.0ms
(* (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))) (sqrt (* x (+ x (* x x)))))
302.0ms
(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))

prune888.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
721.0ms8000×body80valid
251.0ms8000×pre80true