Details

Time bar (total: 8.3s)

sample315.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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:
59.0ms
(/ (- (+ f n)) (- f n))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (- (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune159.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- f n) (- (+ f n))))
0.0b
(/ (- f n) (- (+ f n)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 386
Calls
2 calls:
41.0ms
(/ 1 (/ (- f n) (- (+ f n))))
31.0ms
(/ (- f n) (- (+ f n)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ 1 (/ (- f n) (- (+ f n))))
69.0ms
(/ (- f n) (- (+ f n)))

simplify98.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
09343959
143713574
250013221

prune403.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ f (- (+ f n)))
0.0b
(/ n (- (+ f n)))
0.0b
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
0.0b
(- (/ f (- (+ f n))) (/ n (- (+ f n))))

rewrite796.0ms

Algorithm
rewrite-expression-head
Rules
3445×times-frac
3402×*-un-lft-identity
2050×add-sqr-sqrt
1990×add-cube-cbrt
1764×prod-diff
1132×distribute-rgt-neg-in
1112×distribute-lft-neg-in
576×distribute-lft-out
273×neg-mul-1
198×associate-/r/
194×distribute-neg-frac
105×distribute-lft-out--
98×div-inv
97×flip3-+ flip-+
55×associate-/r*
42×fma-neg
20×difference-of-squares
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 2133
Calls
4 calls:
18.0ms
(/ f (- (+ f n)))
19.0ms
(/ n (- (+ f n)))
255.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
249.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ f (- (+ f n)))
44.0ms
(/ n (- (+ f n)))
87.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
83.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))

simplify481.0ms

Algorithm
egg-herbie
Counts
2145 → 2145
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0327570507
1500258690

prune3.9s

Pruning

4 alts after pruning (2 fresh and 2 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
(pow (/ (- (+ f n)) (- f n)) 3)
0.0b
(/ (- (+ f n)) (- f n))

rewrite128.0ms

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:
37.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
33.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
33.0ms
(/ (- (+ f n)) (- f n))

series268.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
80.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
74.0ms
(/ (- (+ f n)) (- f n))

simplify132.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09643812
146943496
250013496

prune444.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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
0145
1155
2155

end0.0ms

sample313.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid