Details

Time bar (total: 9.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true

simplify155.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
155.0ms
(+ (* x (* x x)) (* x x))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (fma x x x) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
11.0ms
(* (fma x x x) x)

series115.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
115.0ms
(* (fma x x x) x)

simplify534.0ms

Counts
12 → 24
Calls
12 calls:
Slowest
378.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
29.0ms
(+ (pow x 3) (pow x 2))
27.0ms
(+ (pow x 3) (pow x 2))
25.0ms
(+ (pow x 3) (pow x 2))
17.0ms
(* (sqrt (fma x x x)) (sqrt x))

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
1×pow2 +-commutative sum-log fma-def distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 44
Calls
2 calls:
Slowest
35.0ms
(+ (* x (* x x)) (* x x))
26.0ms
(* x (* x x))

series162.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
116.0ms
(+ (* x (* x x)) (* x x))
46.0ms
(* x (* x x))

simplify1.5s

Counts
23 → 50
Calls
23 calls:
Slowest
524.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
455.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
229.0ms
(* (exp (* x (* x x))) (exp (* x x)))
40.0ms
(+ (pow x 3) (pow x 2))
32.0ms
(* x (* x x))

prune341.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
14×add-sqr-sqrt
12×pow1/2
10×*-un-lft-identity pow-prod-up add-cube-cbrt
8×add-cbrt-cube add-exp-log
7×associate-*r* associate-*l*
6×pow-sqr sqrt-prod
4×expm1-log1p-u swap-sqr insert-posit16 log1p-expm1-u add-log-exp
2×prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 101
Calls
4 calls:
Slowest
33.0ms
(* (sqrt (* (fma x x x) x)) (sqrt (* (fma x x x) x)))
11.0ms
(* (fma x x x) x)
4.0ms
(sqrt (* (fma x x x) x))
4.0ms
(sqrt (* (fma x x x) x))

series313.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(* (sqrt (* (fma x x x) x)) (sqrt (* (fma x x x) x)))
81.0ms
(* (fma x x x) x)
79.0ms
(sqrt (* (fma x x x) x))
58.0ms
(sqrt (* (fma x x x) x))

simplify4.3s

Counts
91 → 113
Calls
91 calls:
Slowest
607.0ms
(* (* (* (sqrt (* (fma x x x) x)) (sqrt (* (fma x x x) x))) (sqrt (* (fma x x x) x))) (* (* (sqrt (* (fma x x x) x)) (sqrt (* (fma x x x) x))) (sqrt (* (fma x x x) x))))
389.0ms
(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))
310.0ms
(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))
306.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
196.0ms
(* (* (fma x x x) x) (* (fma x x x) x))

prune826.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample785.0ms

Algorithm
intervals
Results
434.0ms8000×body80valid
229.0ms8000×pre80true