Details

Time bar (total: 8.0s)

sample126.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify113.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×times-frac
58×add-sqr-sqrt
32×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
13×distribute-lft-out-- difference-of-squares
12×distribute-lft-out associate-/l*
neg-mul-1
associate-/r*
add-cbrt-cube add-exp-log
associate-/r/ distribute-neg-frac associate-/l/
neg-sub0 expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 98
Calls
1 calls:
Slowest
47.0ms
(/ (- (+ f n)) (- f n))

series113.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
113.0ms
(/ (- (+ f n)) (- f n))

simplify404.0ms

Counts
163 → 101

prune809.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.5b
(expm1 (/ (- (+ f n)) (- f n)))
0.0b
(log1p (expm1 (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
13×distribute-lft-out-- difference-of-squares
12×distribute-lft-out associate-/l*
neg-mul-1
associate-/r* add-cbrt-cube add-exp-log
log1p-expm1-u
expm1-log1p-u pow1 insert-posit16 add-log-exp
associate-/r/ distribute-neg-frac associate-/l/
neg-sub0 cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-sub div-exp log1p-expm1 distribute-frac-neg flip-+ div-inv flip-- expm1-udef
Counts
3 → 122
Calls
3 calls:
Slowest
32.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(expm1 (/ (- (+ f n)) (- f n)))
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))

series379.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
146.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
131.0ms
(expm1 (/ (- (+ f n)) (- f n)))
102.0ms
(/ (- (+ f n)) (- f n))

simplify350.0ms

Counts
191 → 131

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))
0.5b
(* (cbrt (+ f n)) (cbrt (+ f n)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
Slowest
35.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series783.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
220.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
205.0ms
(cbrt (+ f n))
181.0ms
(cbrt (+ f n))
177.0ms
(cbrt (+ f n))

simplify929.0ms

Counts
149 → 119

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample776.0ms

Algorithm
intervals
Results
619.0ms8000×body80valid