Details

Time bar (total: 28.2s)

sample145.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify57.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
56.0ms
(/ (- (+ f n)) (- f n))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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*
6×neg-mul-1
5×associate-/r*
3×add-cbrt-cube add-exp-log
2×associate-/r/ distribute-neg-frac associate-/l/
1×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
30.0ms
(/ (- (+ f n)) (- f n))

series106.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
106.0ms
(/ (- (+ f n)) (- f n))

simplify5.2s

Counts
163 → 101
Calls
163 calls:
Slowest
340.0ms
(* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))
263.0ms
(* (- f n) (+ (* f f) (- (* n n) (* f n))))
262.0ms
(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
192.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
173.0ms
(/ (- (+ f n)) (- (* f f) (* n n)))

prune855.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite25.0ms

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*
6×neg-mul-1
5×associate-/r* add-cbrt-cube add-exp-log
4×log1p-expm1-u
3×expm1-log1p-u pow1 insert-posit16 add-log-exp
2×associate-/r/ distribute-neg-frac associate-/l/
1×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
22.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))

series439.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
183.0ms
(expm1 (/ (- (+ f n)) (- f n)))
168.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
88.0ms
(/ (- (+ f n)) (- f n))

simplify7.2s

Counts
191 → 131
Calls
191 calls:
Slowest
454.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
320.0ms
(* (- f n) (+ (* f f) (- (* n n) (* f n))))
292.0ms
(* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))
270.0ms
(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
198.0ms
(/ (- (+ f n)) (- (* f f) (* n n)))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

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))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
79×*-un-lft-identity
37×add-sqr-sqrt
36×distribute-rgt-neg-in
32×distribute-lft-neg-in
29×add-cube-cbrt
23×swap-sqr
20×distribute-lft-out
18×cbrt-div distribute-neg-frac
15×associate-*r* associate-*l*
11×pow1
9×flip3-+ pow1/3 flip-+
7×neg-mul-1
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 161
Calls
4 calls:
Slowest
61.0ms
(* (cbrt (- (+ f n))) (cbrt (- (+ f n))))
16.0ms
(cbrt (- (+ f n)))
10.0ms
(cbrt (- (+ f n)))
8.0ms
(cbrt (- (+ f n)))

series839.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
233.0ms
(* (cbrt (- (+ f n))) (cbrt (- (+ f n))))
214.0ms
(cbrt (- (+ f n)))
209.0ms
(cbrt (- (+ f n)))
183.0ms
(cbrt (- (+ f n)))

simplify9.0s

Counts
241 → 173
Calls
241 calls:
Slowest
378.0ms
(* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (+ f n))))
345.0ms
(cbrt (- (- (* f f) (* n n))))
330.0ms
(* (cbrt (- (+ f n))) (cbrt (- (- (* f f) (* n n)))))
330.0ms
(* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n)))))
293.0ms
(cbrt (- (- (* f f) (* n n))))

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample768.0ms

Algorithm
intervals
Results
603.0ms8000×body80valid