Details

Time bar (total: 12.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
6.0ms256×pre80true

simplify99.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
99.0ms
(+ (* x (* x x)) (* x x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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
6.0ms
(* (fma x x x) x)

series83.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
83.0ms
(* (fma x x x) x)

simplify1.7s

Counts
24 → 24
Calls
24 calls:
Slowest
564.0ms
(* (* (* (fma x x x) x) (* (fma x x x) x)) (* (fma x x x) x))
423.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
108.0ms
(* (fma x x x) (* (cbrt x) (cbrt x)))
55.0ms
(exp (* (fma x x x) x))
49.0ms
(* (cbrt (* (fma x x x) x)) (cbrt (* (fma x x x) x)))

prune189.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

29.1b
(sqrt (* (fma x x x) x))
29.1b
(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)

rewrite43.0ms

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
24.0ms
(* (sqrt (* (fma x x x) x)) (sqrt (* (fma x x x) x)))
9.0ms
(* (fma x x x) x)
5.0ms
(sqrt (* (fma x x x) x))
4.0ms
(sqrt (* (fma x x x) x))

series314.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(* (fma x x x) x)
87.0ms
(* (sqrt (* (fma x x x) x)) (sqrt (* (fma x x x) x)))
71.0ms
(sqrt (* (fma x x x) x))
63.0ms
(sqrt (* (fma x x x) x))

simplify7.9s

Counts
115 → 113
Calls
115 calls:
Slowest
639.0ms
(* (* (* (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))))
616.0ms
(* (* (* (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))))
516.0ms
(* (* (* (fma x x x) x) (* (fma x x x) x)) (* (fma x x x) x))
378.0ms
(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))
366.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))

prune900.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample911.0ms

Algorithm
intervals
Results
522.0ms8000×body80valid
258.0ms8000×pre80true