Details

Time bar (total: 5.7s)

sample258.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
20.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune162.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/ distribute-neg-frac
4×cbrt-div add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 602
Calls
4 calls:
141.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
17.0ms
(/ (- (+ f n)) (- f n))
19.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(/ (- (+ f n)) (- f n))

series374.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
64.0ms
(/ (- (+ f n)) (- f n))
66.0ms
(/ (- (+ f n)) (- f n))
70.0ms
(/ (- (+ f n)) (- f n))

simplify113.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06417670
123647572
250017059

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
392×*-un-lft-identity
300×times-frac
280×add-sqr-sqrt
154×add-cube-cbrt
112×distribute-lft-neg-in distribute-rgt-neg-in
66×unpow-prod-down cube-prod
63×distribute-lft-out-- difference-of-squares
56×distribute-lft-out
36×associate-/l*
28×neg-mul-1
15×associate-/r*
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×associate-/l/ distribute-neg-frac
5×pow1 flip3-- flip-- div-inv
4×cbrt-undiv distribute-frac-neg div-exp add-log-exp
3×neg-sub0 pow-unpow frac-2neg flip3-+ div-sub clear-num flip-+
2×pow-exp rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow unpow3 cube-neg sqr-pow
Counts
4 → 438
Calls
4 calls:
17.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(/ (- (+ f n)) (- f n))
16.0ms
(/ (- (+ f n)) (- f n))
26.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series274.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (- (+ f n)) (- f n))
67.0ms
(/ (- (+ f n)) (- f n))
62.0ms
(/ (- (+ f n)) (- f n))
77.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify136.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08603883
141993612
250023608

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))

series593.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- f n))
143.0ms
(cbrt (- f n))
149.0ms
(cbrt (- f n))
150.0ms
(cbrt (- f n))

simplify110.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (105.0ms)

IterNodesCost
0144428
1307408
2835396
32872372
45002364

prune388.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02119
12219
22219

end0.0ms

sample303.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid