Details

Time bar (total: 6.8s)

sample259.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

series88.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune150.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

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×pow-unpow 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 → 396
Calls
3 calls:
25.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
17.0ms
(/ (- (+ f n)) (- f n))
26.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series257.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
66.0ms
(/ (- (+ f n)) (- f n))
76.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify126.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09533782
146783469
250023469

prune430.0ms

Filtered
405 candidates to 144 candidates (35.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
0.2b
(/ (- f n) (sqrt (- (+ f n))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
2490×times-frac
2130×*-un-lft-identity
2016×sqrt-prod
1458×add-sqr-sqrt
946×add-cube-cbrt
672×distribute-lft-neg-in distribute-rgt-neg-in
336×distribute-lft-out
256×distribute-lft-out-- difference-of-squares
168×neg-mul-1
96×associate-/r*
36×sqrt-div distribute-neg-frac
35×associate-/r/
20×associate-/l*
18×flip3-+ flip-+ div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 1440
Calls
2 calls:
67.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
17.0ms
(/ (- f n) (sqrt (- (+ f n))))

series175.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
93.0ms
(/ (- f n) (sqrt (- (+ f n))))

simplify257.0ms

Algorithm
egg-herbie
Counts
1446 → 1446
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0250026301
1500125274

prune2.1s

Filtered
1446 candidates to 588 candidates (40.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b
(+ (* n n) (* f n))
2.6b
(+ (* f f) (+ (* n n) (* f n)))
9.3b
(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
32.9b
(* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* f f) (+ (* n n) (* f n))))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
789×add-sqr-sqrt
638×*-un-lft-identity
601×times-frac
400×difference-of-squares
306×associate-*l*
300×unpow-prod-down cube-prod
204×distribute-lft-neg-in distribute-rgt-neg-in
200×sqr-pow
184×add-cube-cbrt
125×distribute-lft-out--
102×distribute-lft-out
51×neg-mul-1
25×difference-cubes associate-/r*
12×associate-/l*
11×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
4×sum-log associate-/r/
3×associate-*r*
2×cbrt-undiv +-commutative frac-times flip3-- associate-*r/ distribute-frac-neg div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-neg-frac unswap-sqr
1×distribute-lft-neg-out neg-sub0 distribute-rgt-in associate-+r+ distribute-rgt-out frac-2neg distribute-lft-in div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 712
Calls
4 calls:
3.0ms
(+ (* n n) (* f n))
7.0ms
(+ (* f f) (+ (* n n) (* f n)))
42.0ms
(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
175.0ms
(* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* f f) (+ (* n n) (* f n))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* n n) (* f n))
23.0ms
(+ (* f f) (+ (* n n) (* f n)))
49.0ms
(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
114.0ms
(* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* f f) (+ (* n n) (* f n))))

simplify121.0ms

Algorithm
egg-herbie
Counts
724 → 724
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
019289131
150039008

prune1.6s

Filtered
724 candidates to 332 candidates (45.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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
0156
1166
2166

end0.0ms

sample282.0ms

Algorithm
intervals
Results
163.0ms8000×body80valid