Details

Time bar (total: 24.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
6.0ms256×pre80true

simplify134.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
134.0ms
(+ (* x (* x x)) (* x x))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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
21.0ms
(* x (* x x))
16.0ms
(+ (* x (* x x)) (* x x))

series177.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
119.0ms
(+ (* x (* x x)) (* x x))
57.0ms
(* x (* x x))

simplify4.3s

Counts
45 → 45
Calls
45 calls:
Slowest
580.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
462.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
410.0ms
(* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))
357.0ms
(+ (pow (* x (* x x)) 3) (pow (* x x) 3))
251.0ms
(* (exp (* x (* x x))) (exp (* x x)))

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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
12.0ms
(* x (+ x (* x x)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
79.0ms
(* x (+ x (* x x)))

simplify2.3s

Counts
30 → 28
Calls
30 calls:
Slowest
337.0ms
(exp (* x (+ x (* x x))))
286.0ms
(* x (- (* x x) (* (* x x) (* x x))))
277.0ms
(* x (+ (pow x 3) (pow (* x x) 3)))
173.0ms
(* (* (* x x) x) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))))
150.0ms
(* (* (* x (+ x (* x x))) (* x (+ x (* x x)))) (* x (+ x (* x x))))

prune174.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

29.1b
(sqrt (* x (+ x (* x x))))
29.1b
(sqrt (* x (+ x (* x x))))
0.0b
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
0.0b
(* x (+ x (* x x)))

rewrite73.0ms

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
51.0ms
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
12.0ms
(* x (+ x (* x x)))
4.0ms
(sqrt (* x (+ x (* x x))))
4.0ms
(sqrt (* x (+ x (* x x))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
80.0ms
(* x (+ x (* x x)))
71.0ms
(sqrt (* x (+ x (* x x))))
55.0ms
(sqrt (* x (+ x (* x x))))

simplify14.2s

Counts
135 → 123
Calls
135 calls:
Slowest
580.0ms
(* (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))) (sqrt (* x (+ x (* x x)))))
391.0ms
(* (sqrt (* x (- (* x x) (* (* x x) (* x x))))) (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))))
366.0ms
(* (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))) (sqrt (* x (- (* x x) (* (* x x) (* x x))))))
360.0ms
(* (sqrt (* x (- (* x x) (* (* x x) (* x x))))) (sqrt (* x (+ x (* x x)))))
356.0ms
(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))

prune962.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample897.0ms

Algorithm
intervals
Results
496.0ms8000×body80valid
273.0ms8000×pre80true