Details

Time bar (total: 2.5s)

sample265.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results
7.0ms256×body80valid

simplify393.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (neg (+ 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:
12.0ms
(/ (neg (+ f n)) (- f n))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (neg (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune83.0ms

Filtered
60 candidates to 98 candidates (-63.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh000
Picked011
Done000
Total95499

Merged error: 0b

Counts
99 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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:
9.0ms
(/ (neg (+ f n)) (- f n))
15.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)
19.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))

series40.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (neg (+ f n)) (- f n))
14.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)
16.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))

simplify134.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09533724
145163469
250023463

prune189.0ms

Filtered
141 candidates to 405 candidates (-187.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh022
Picked011
Done011
Total4054409

Merged error: 0b

Counts
409 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
7.0ms
(/ (- f n) (+ f n))
11.0ms
(/ -1 (/ (- f n) (+ f n)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- f n) (+ f n))
12.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify70.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05221449
125891405
250011287

prune105.0ms

Filtered
97 candidates to 174 candidates (-79.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1740174
Fresh011
Picked011
Done022
Total1744178

Merged error: 0b

Counts
178 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-prod
54×*-un-lft-identity
50×add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt
19×swap-sqr
18×pow1
15×associate-*r* associate-*l*
14×pow1/3
8×add-exp-log frac-times flip3-- flip-- distribute-lft-out-- unswap-sqr
6×flip3-+ flip-+ distribute-lft-out difference-of-squares
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
10.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
10.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- f n))
27.0ms
(cbrt (- f n))
32.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
46.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))

simplify50.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03811117
112281063
25001941

prune128.0ms

Filtered
97 candidates to 151 candidates (-55.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1510151
Fresh000
Picked011
Done033
Total1514155

Merged error: 0b

Counts
155 → 4

regimes160.0ms

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

sample435.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results
206.0ms8000×body80valid

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