Details

Time bar (total: 13.7s)

sample36.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
10.0ms256×pre80true

simplify176.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
176.0ms
(+ (* x (* x x)) (* x x))

prune8.0ms

Pruning

2 alts after pruning (2 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))

rewrite39.0ms

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

series159.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(+ (* x (* x x)) (* x x))
52.0ms
(* x (* x x))

simplify1.6s

Counts
23 → 50
Calls
23 calls:
Slowest
585.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
530.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
255.0ms
(* (exp (* x (* x x))) (exp (* x x)))
44.0ms
(+ (pow x 3) (pow x 2))
35.0ms
(+ (pow x 3) (pow x 2))

prune350.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
119×pow1
57×pow-prod-up
38×pow-plus
36×sqrt-pow1 pow1/2
28×pow-prod-down
26×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
13×associate-*l* pow-sqr
10×*-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
8×cube-unmult sqrt-prod
7×associate-*r*
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u unswap-sqr
3×*-commutative
1×pow2 +-commutative sum-log fma-def flip3-+ swap-sqr flip-+
Counts
4 → 147
Calls
4 calls:
Slowest
70.0ms
(* (* (sqrt x) x) (* (sqrt x) x))
38.0ms
(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
15.0ms
(* (sqrt x) x)
14.0ms
(* (sqrt x) x)

series246.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
60.0ms
(* (* (sqrt x) x) (* (sqrt x) x))
58.0ms
(* (sqrt x) x)
50.0ms
(* (sqrt x) x)

simplify3.3s

Counts
124 → 159
Calls
124 calls:
Slowest
455.0ms
(* (* (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x)) (* (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x)))
408.0ms
(* (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* x x) x)) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* x x) x)))
402.0ms
(* (* (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x)) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* x x) x)))
399.0ms
(* (exp (* (* (sqrt x) x) (* (sqrt x) x))) (exp (* x x)))
140.0ms
(* (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* x x) x)) (* (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x)))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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
10.0ms
(* (fma x x x) x)

series113.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
113.0ms
(* (fma x x x) x)

simplify472.0ms

Counts
12 → 24
Calls
12 calls:
Slowest
301.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
28.0ms
(+ (log (fma x x x)) (log x))
24.0ms
(+ (pow x 3) (pow x 2))
24.0ms
(+ (pow x 3) (pow x 2))
23.0ms
(+ (pow x 3) (pow x 2))

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
Slowest
46.0ms
(* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))
15.0ms
(* (sqrt (fma x x x)) x)
2.0ms
(sqrt (fma x x x))
2.0ms
(sqrt (fma x x x))

series285.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
118.0ms
(* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))
82.0ms
(* (sqrt (fma x x x)) x)
45.0ms
(sqrt (fma x x x))
40.0ms
(sqrt (fma x x x))

simplify3.4s

Counts
47 → 93
Calls
47 calls:
Slowest
848.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* x x) x)))
630.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* (* (sqrt (fma x x x)) x) (* (sqrt (fma x x x)) x)) (* (sqrt (fma x x x)) x)))
444.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* x x) x))
175.0ms
(- 1/8 (+ (* 1/2 x) (pow x 2)))
109.0ms
(- (+ x 1/2) (* 1/8 (/ 1 x)))

prune861.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample778.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid
247.0ms8000×pre80true