Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify654.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0308
1308

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

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

series17.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050961340

prune106.0ms

Filtered
62 candidates to 98 candidates (-58.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New92698
Fresh000
Picked101
Done000
Total93699

Merged error: 0b

Counts
99 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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))
10.0ms
(/ -1 (/ (- f n) (+ f n)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- f n) (+ f n))
9.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify67.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
054722529

prune145.0ms

Filtered
113 candidates to 174 candidates (-54.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh055
Picked011
Done000
Total1746180

Merged error: 0b

Counts
180 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (- (neg f) n) (- f n))) (cbrt (/ (- (neg f) n) (- f n))))
0.0b
(/ (- (neg f) n) (- f n))
0.0b
(/ (- (neg f) n) (- f n))
0.0b
(/ (- (neg f) n) (- f n))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
605×*-un-lft-identity
333×add-sqr-sqrt
324×times-frac
264×cbrt-prod
221×distribute-lft-out--
111×add-cube-cbrt
99×difference-of-squares
93×swap-sqr
70×distribute-rgt-neg-in
39×associate-*r* associate-*l*
18×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×flip3-- add-cbrt-cube flip--
9×unswap-sqr
7×div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg div-sub div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 375
Calls
4 calls:
44.0ms
(* (cbrt (/ (- (neg f) n) (- f n))) (cbrt (/ (- (neg f) n) (- f n))))
9.0ms
(/ (- (neg f) n) (- f n))
9.0ms
(/ (- (neg f) n) (- f n))
9.0ms
(/ (- (neg f) n) (- f n))

series62.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (/ (- (neg f) n) (- f n))) (cbrt (/ (- (neg f) n) (- f n))))
8.0ms
(/ (- (neg f) n) (- f n))
8.0ms
(/ (- (neg f) n) (- f n))
8.0ms
(/ (- (neg f) n) (- f n))

simplify92.0ms

Algorithm
egg-herbie
Counts
387 → 387
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
054897056

prune244.0ms

Filtered
200 candidates to 387 candidates (-93.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3870387
Fresh044
Picked011
Done011
Total3876393

Merged error: 0b

Counts
393 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (- f n))
0.1b
(* (/ -1 (- f n)) (+ f n))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 84
Calls
2 calls:
5.0ms
(/ -1 (- f n))
13.0ms
(* (/ -1 (- f n)) (+ f n))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ -1 (- f n))
8.0ms
(* (/ -1 (- f n)) (+ f n))

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04966831
14966831

prune84.0ms

Filtered
67 candidates to 90 candidates (-34.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh123
Picked011
Done022
Total90696

Merged error: 0b

Counts
96 → 6

regimes92.0ms

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
089
189

end0.0ms

sample401.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid

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