Details

Time bar (total: 3.2s)

sample274.0ms

Algorithm
intervals
Results
6.0ms256×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))

rewrite17.0ms

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:
11.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sqrt (+ f n)) (- f n))
0.1b
(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
83×add-sqr-sqrt
72×times-frac
53×sqrt-prod
45×add-cube-cbrt
41×associate-*r*
18×associate-*l*
15×distribute-lft-out-- difference-of-squares
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
6×sqrt-div
5×associate-/r*
4×pow1 associate-/r/ distribute-neg-frac
3×flip3-+ flip-+ unswap-sqr
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 144
Calls
2 calls:
8.0ms
(/ (sqrt (+ f n)) (- f n))
25.0ms
(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (sqrt (+ f n)) (- f n))
73.0ms
(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

simplify61.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04841280
122401202
250011172

prune251.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
0.1b
(/ (sqrt (- (+ f n))) (- f n))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
192×*-un-lft-identity
160×add-sqr-sqrt
154×times-frac
149×sqrt-prod
82×add-cube-cbrt
81×associate-*r*
48×distribute-lft-neg-in distribute-rgt-neg-in
31×distribute-lft-out-- difference-of-squares
24×distribute-lft-out
15×associate-*l* associate-/l*
12×neg-mul-1
9×add-exp-log add-cbrt-cube
6×sqrt-div distribute-neg-frac unswap-sqr
5×associate-/r*
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 231
Calls
2 calls:
40.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
10.0ms
(/ (sqrt (- (+ f n))) (- f n))

series181.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
100.0ms
(/ (sqrt (- (+ f n))) (- f n))

simplify75.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05922379
124082231
250012145

prune420.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.6b
(cbrt (- (+ f n)))
0.6b
(cbrt (- (+ f n)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
24×*-un-lft-identity
16×add-sqr-sqrt
12×add-cube-cbrt
8×distribute-lft-neg-in cbrt-div distribute-rgt-neg-in
4×pow1 add-exp-log pow1/3 add-cbrt-cube distribute-neg-frac distribute-lft-out add-log-exp
2×neg-mul-1 flip3-- flip3-+ flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
4.0ms
(cbrt (- (+ f n)))
4.0ms
(cbrt (- (+ f n)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- f n))
143.0ms
(cbrt (- f n))
139.0ms
(cbrt (- (+ f n)))
143.0ms
(cbrt (- (+ f n)))

simplify64.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0252534
1603510
21987496
35002480

prune328.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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

sample287.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid