Details

Time bar (total: 24.6s)

sample37.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
10.0ms256×pre80true

simplify165.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
165.0ms
(+ (* x (* x x)) (* x x))

prune5.0ms

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
Counts
2 → 39
Calls
2 calls:
Slowest
29.0ms
(+ (* x (* x x)) (* x x))
14.0ms
(* x (* x x))

series157.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
94.0ms
(+ (* x (* x x)) (* x x))
63.0ms
(* x (* x x))

simplify4.6s

Counts
45 → 45
Calls
45 calls:
Slowest
659.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
473.0ms
(* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))
454.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
403.0ms
(+ (pow (* x (* x x)) 3) (pow (* x x) 3))
251.0ms
(+ (* (* x (* x x)) (* x (* x x))) (- (* (* x x) (* x x)) (* (* x (* x x)) (* x x))))

prune345.0ms

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
Counts
1 → 25
Calls
1 calls:
Slowest
11.0ms
(* x (+ x (* x x)))

series117.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
117.0ms
(* x (+ x (* x x)))

simplify2.5s

Counts
30 → 28
Calls
30 calls:
Slowest
341.0ms
(* x (- (* x x) (* (* x x) (* x x))))
316.0ms
(exp (* x (+ x (* x x))))
293.0ms
(* x (+ (pow x 3) (pow (* x x) 3)))
202.0ms
(* (* (* x x) x) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))))
193.0ms
(* (* (* x (+ x (* x x))) (* x (+ x (* x x)))) (* x (+ x (* x x))))

prune236.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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

series84.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
84.0ms
(* x (+ x (* x x)))

simplify2.3s

Counts
30 → 28
Calls
30 calls:
Slowest
293.0ms
(exp (* x (+ x (* x x))))
275.0ms
(* x (+ (pow x 3) (pow (* x x) 3)))
265.0ms
(* x (- (* x x) (* (* x x) (* x x))))
237.0ms
(* (* (* x x) x) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))))
146.0ms
(* (* (* x (+ x (* x x))) (* x (+ x (* x x)))) (* x (+ x (* x x))))

prune216.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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-rgt-out associate-*l* pow-prod-down distribute-rgt1-in 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
44.0ms
(* (* x (sqrt (+ x (* x x)))) (sqrt (+ x (* x x))))
17.0ms
(* x (sqrt (+ x (* x x))))
3.0ms
(sqrt (+ x (* x x)))
3.0ms
(sqrt (+ x (* x x)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
102.0ms
(* (* x (sqrt (+ x (* x x)))) (sqrt (+ x (* x x))))
57.0ms
(* x (sqrt (+ x (* x x))))
47.0ms
(sqrt (+ x (* x x)))
34.0ms
(sqrt (+ x (* x x)))

simplify11.6s

Counts
121 → 107
Calls
121 calls:
Slowest
563.0ms
(* (* x (sqrt (+ x (* x x)))) (sqrt (- (* x x) (* (* x x) (* x x)))))
557.0ms
(* (* x (sqrt (- (* x x) (* (* x x) (* x x))))) (sqrt (+ x (* x x))))
522.0ms
(* (* x (sqrt (+ (pow x 3) (pow (* x x) 3)))) (sqrt (+ (pow x 3) (pow (* x x) 3))))
464.0ms
(* (* (* x (sqrt (+ x (* x x)))) (* x (sqrt (+ x (* x x))))) (* x (sqrt (+ x (* x x)))))
451.0ms
(* x (sqrt (- (* x x) (* (* x x) (* x x)))))

prune864.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample879.0ms

Algorithm
intervals
Results
485.0ms8000×body80valid
244.0ms8000×pre80true