Details

Time bar (total: 12.4s)

sample35.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
9.0ms256×pre80true

simplify140.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
140.0ms
(+ (* x (* x x)) (* x x))

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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
17.0ms
(* x (* x x))
15.0ms
(+ (* x (* x x)) (* x x))

series137.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
75.0ms
(+ (* x (* x x)) (* x x))
62.0ms
(* x (* x x))

simplify1.5s

Counts
23 → 45
Calls
23 calls:
Slowest
459.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
439.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
320.0ms
(* (exp (* x (* x x))) (exp (* x x)))
42.0ms
(+ (pow x 3) (pow x 2))
39.0ms
(+ (pow x 3) (pow x 2))

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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 distribute-lft1-in flip3-+ distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
38.0ms
(* x (+ (* x x) x))

series92.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
92.0ms
(* x (+ (* x x) x))

simplify967.0ms

Counts
18 → 28
Calls
18 calls:
Slowest
401.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
236.0ms
(* (* (* x x) x) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
52.0ms
(* x (+ (* x x) x))
43.0ms
(+ (pow x 3) (pow x 2))
40.0ms
(+ (pow x 3) (pow x 2))

prune188.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (sqrt (+ (* x x) x)))
0.2b
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
0.0b
(sqrt (+ (* x x) x))
0.0b
(sqrt (+ (* x x) x))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times distribute-lft1-in distribute-rgt-out associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 95
Calls
4 calls:
Slowest
98.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
23.0ms
(* x (sqrt (+ (* x x) x)))
14.0ms
(sqrt (+ (* x x) x))
10.0ms
(sqrt (+ (* x x) x))

series199.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
78.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
48.0ms
(* x (sqrt (+ (* x x) x)))
43.0ms
(sqrt (+ (* x x) x))
30.0ms
(sqrt (+ (* x x) x))

simplify7.1s

Counts
75 → 107
Calls
75 calls:
Slowest
816.0ms
(* (* x (sqrt (- (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* x x))))
426.0ms
(sqrt (+ (pow (* x x) 3) (pow x 3)))
411.0ms
(* (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))) (sqrt (- (* x x) x)))
403.0ms
(sqrt (+ (pow (* x x) 3) (pow x 3)))
385.0ms
(* (sqrt (- (* x x) x)) (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))))

prune651.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample809.0ms

Algorithm
intervals
Results
426.0ms8000×body80valid
249.0ms8000×pre80true