Details

Time bar (total: 4.2s)

sample275.0ms

Algorithm
intervals
Results
14.0ms256×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

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 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:
19.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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:
17.0ms
(/ (- (+ f n)) (- f n))
22.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
29.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

series259.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (- (+ f n)) (- f n))
78.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
112.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

simplify121.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09643818
145653516
250023516

prune457.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg expm1-log1p-u log-prod flip3-- div-sub flip-- log1p-expm1-u div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 258
Calls
3 calls:
36.0ms
(exp (/ (- (+ f n)) (- f n)))
36.0ms
(log (exp (/ (- (+ f n)) (- f n))))
17.0ms
(/ (- (+ f n)) (- f n))

series226.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(exp (/ (- (+ f n)) (- f n)))
69.0ms
(log (exp (/ (- (+ f n)) (- f n))))
69.0ms
(/ (- (+ f n)) (- f n))

simplify82.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
04141692
111281633
236531596
350021593

prune480.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
30×cbrt-div
24×distribute-lft-neg-in distribute-rgt-neg-in
14×cube-div
13×distribute-lft-out-- difference-of-squares
12×distribute-lft-out associate-/l*
11×frac-times associate-*l/
10×cbrt-prod
9×add-exp-log
7×pow1 associate-*r/ add-cbrt-cube
6×neg-mul-1
5×associate-/r*
4×expm1-log1p-u pow-pow pow1/3 log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow-prod-down unpow3 cube-prod pow-prod-down pow-exp associate-/r/ associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×cbrt-undiv neg-sub0 pow-to-exp flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp pow3 prod-exp clear-num flip-- rem-cbrt-cube cbrt-unprod flip-+ div-inv
Counts
4 → 170
Calls
4 calls:
20.0ms
(/ (- (+ f n)) (- f n))
15.0ms
(pow (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) 3)
20.0ms
(cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
3.0ms
(cbrt (pow (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) 3))

series492.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (- (+ f n)) (- f n))
209.0ms
(pow (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) 3)
105.0ms
(cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
112.0ms
(cbrt (pow (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) 3))

simplify76.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05072017
122251823
250021467

prune473.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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

sample524.0ms

Algorithm
intervals
Results
395.0ms8000×body80valid