Details

Time bar (total: 22.2s)

sample82.0ms

Algorithm
intervals
Results
35.0ms58×body1280valid
15.0ms36×body640valid
13.0ms137×body80valid
5.0ms18×body320valid
1.0msbody160valid

simplify12.5s

Counts
1 → 1
Iterations
IterNodes
99728
81956
7573
6233
5101
449
328
220
116
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1 (exp (* -2 x)))
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
2.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
add-exp-log
add-log-exp
flip3-+ flip-+
add-cbrt-cube div-inv
associate-/r* difference-of-squares
expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
expm1-def difference-of-sqr-1 div-exp
cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
6.0ms
(+ 1 (exp (* -2 x)))
14.0ms
(/ 2 (+ 1 (exp (* -2 x))))
72.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series93.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ 1 (exp (* -2 x)))
25.0ms
(/ 2 (+ 1 (exp (* -2 x))))
57.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.4s

Counts
159 → 159
Iterations
IterNodes
32094
2889
1406
0183

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (pow x 5) 2/15 x)
0.1b
(* (* x x) x)
21.3b
(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
add-cbrt-cube add-exp-log
pow-plus pow-prod-up
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
pow2 pow-sqr fma-udef
associate-*l* pow3 *-commutative unswap-sqr
Counts
3 → 53
Calls
3 calls:
0.0ms
(fma (pow x 5) 2/15 x)
20.0ms
(* (* x x) x)
1.0ms
(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

series351.0ms

Counts
3 → 9
Calls
3 calls:
216.0ms
(fma (pow x 5) 2/15 x)
53.0ms
(* (* x x) x)
82.0ms
(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

simplify3.1s

Counts
62 → 62
Iterations
IterNodes
45996
31256
2350
1130
070

prune440.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

96.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 29.7b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
229
129
023

end0.0ms

sample2.7s

Algorithm
intervals
Results
982.0ms1729×body1280valid
720.0ms4039×body80valid
586.0ms1268×body640valid
193.0ms644×body320valid
88.0ms320×body160valid