Details

Time bar (total: 5.1s)

sample317.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify16.0ms

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))

rewrite64.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
58.0ms
(/ (- (+ f n)) (- f n))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(/ (- (+ f n)) (- f n))
0.1b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 402
Calls
3 calls:
39.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
34.0ms
(/ (- (+ f n)) (- f n))
34.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series252.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
65.0ms
(/ (- (+ f n)) (- f n))
79.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify120.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09643818
145653516
250023516

prune437.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
876×*-un-lft-identity
584×times-frac
450×add-sqr-sqrt
234×add-cube-cbrt
220×distribute-rgt-neg-in
192×distribute-lft-neg-in
146×swap-sqr
142×distribute-lft-out--
124×distribute-lft-out
102×difference-of-squares
66×cbrt-prod associate-*r* associate-*l*
41×neg-mul-1
24×associate-/l*
20×add-exp-log add-cbrt-cube
14×associate-/r/
11×pow1
10×associate-/r*
7×flip3-- flip-- div-inv
6×cbrt-undiv distribute-frac-neg div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate-/l/ distribute-neg-frac add-log-exp unswap-sqr
2×neg-sub0 frac-2neg flip3-+ div-sub clear-num flip-+
1×distribute-lft-neg-out pow2 frac-times cbrt-div pow-plus pow1/3 associate-*r/ sqr-neg pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out
Counts
4 → 582
Calls
4 calls:
32.0ms
(/ (- (+ f n)) (- f n))
31.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(cbrt (/ (- (+ f n)) (- f n)))
173.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- (+ f n)) (- f n))
66.0ms
(/ (- (+ f n)) (- f n))
229.0ms
(cbrt (/ (- (+ f n)) (- f n)))
68.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))

simplify87.0ms

Algorithm
egg-herbie
Counts
594 → 594
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011856498
150016010

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
35×*-un-lft-identity
29×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log flip3-+ flip-+ distribute-lft-out
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
37.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
4.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))

series598.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
146.0ms
(cbrt (- f n))
141.0ms
(cbrt (- f n))
147.0ms
(cbrt (- f n))

simplify158.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0302761
11029723
24707670
35001670

prune370.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1134
2134

end0.0ms

sample324.0ms

Algorithm
intervals
Results
157.0ms8000×body80valid