Details

Time bar (total: 20.6s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
8.0ms256×body80valid

simplify146.0ms

Calls
1 calls:
Slowest
146.0ms
(+ (* 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))

rewrite43.0ms

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
Calls
2 calls:
Slowest
23.0ms
(+ (* x (* x x)) (* x x))
19.0ms
(* x (* x x))

series144.0ms

Calls
2 calls:
Slowest
107.0ms
(+ (* x (* x x)) (* x x))
37.0ms
(* x (* x x))

simplify1.6s

Calls
23 calls:
Slowest
493.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
484.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
302.0ms
(* (exp (* x (* x x))) (exp (* x x)))
44.0ms
(+ (pow x 3) (pow x 2))
32.0ms
(+ (pow x 3) (pow x 2))

prune295.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

42.2b
(log (* x (* x x)))
1.7b
(exp (log (* x (* x x))))
0.1b
(* x (* x x))
0.0b
(+ (exp (log (* x (* x x)))) (* x x))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
16×log-pow
15×add-exp-log pow-prod-up
11×exp-prod
9×add-cbrt-cube pow-prod-down
7×add-sqr-sqrt
6×*-un-lft-identity prod-exp add-cube-cbrt add-log-exp
4×insert-posit16
3×pow2 pow-plus cube-unmult rem-log-exp associate-*l* pow-sqr cbrt-unprod
2×log-prod
1×+-commutative sum-log flip3-+ associate-*r* exp-sum *-commutative flip-+ unswap-sqr rem-exp-log
Calls
4 calls:
Slowest
79.0ms
(+ (exp (log (* x (* x x)))) (* x x))
39.0ms
(exp (log (* x (* x x))))
26.0ms
(* x (* x x))
12.0ms
(log (* x (* x x)))

series419.0ms

Calls
4 calls:
Slowest
220.0ms
(log (* x (* x x)))
100.0ms
(+ (exp (log (* x (* x x)))) (* x x))
50.0ms
(* x (* x x))
49.0ms
(exp (log (* x (* x x))))

simplify2.2s

Calls
47 calls:
Slowest
546.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
491.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
257.0ms
(* (exp (exp (log (* x (* x x))))) (exp (* x x)))
204.0ms
(exp (* (cbrt (log (* x (* x x)))) (cbrt (log (* x (* x x))))))
144.0ms
(exp (sqrt (log (* x (* x x)))))

prune742.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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
Calls
1 calls:
Slowest
11.0ms
(* x (+ x (* x x)))

series115.0ms

Calls
1 calls:
Slowest
115.0ms
(* x (+ x (* x x)))

simplify893.0ms

Calls
18 calls:
Slowest
283.0ms
(+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))
191.0ms
(* (* (* x x) x) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))))
96.0ms
(* x (+ x (* x x)))
41.0ms
(+ (pow x 3) (pow x 2))
32.0ms
(+ (log x) (log (+ x (* x x))))

prune187.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

29.3b
(sqrt (* x (+ x (* x x))))
29.3b
(sqrt (* x (+ x (* x x))))
0.0b
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
0.0b
(* x (+ x (* x x)))

rewrite114.0ms

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
Calls
4 calls:
Slowest
70.0ms
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
19.0ms
(* x (+ x (* x x)))
15.0ms
(sqrt (* x (+ x (* x x))))
8.0ms
(sqrt (* x (+ x (* x x))))

series278.0ms

Calls
4 calls:
Slowest
105.0ms
(* x (+ x (* x x)))
76.0ms
(* (sqrt (* x (+ x (* x x)))) (sqrt (* x (+ x (* x x)))))
53.0ms
(sqrt (* x (+ x (* x x))))
44.0ms
(sqrt (* x (+ x (* x x))))

simplify11.0s

Calls
113 calls:
Slowest
358.0ms
(sqrt (* x (- (* x x) (* (* x x) (* x x)))))
354.0ms
(* (sqrt (* x (- (* x x) (* (* x x) (* x x))))) (sqrt (* x (+ x (* x x)))))
350.0ms
(* (sqrt (* x (- (* x x) (* (* x x) (* x x))))) (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))))
338.0ms
(* (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))) (sqrt (* x (+ x (* x x)))))
330.0ms
(* (sqrt (* x (+ (pow x 3) (pow (* x x) 3)))) (sqrt (* x (- (* x x) (* (* x x) (* x x))))))

prune975.0ms

Pruning

4 alts after pruning (1 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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
695.0ms8000×pre80true
403.0ms8000×body80valid