Details

Time bar (total: 1.7s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14

sample17.0ms

Algorithm
intervals
Results
6.0ms67×body640valid
3.0ms140×body80valid
3.0ms38×body320valid
1.0ms11×body160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04979
14979

prune4.0ms

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: 14.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
1.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 57
Calls
2 calls:
9.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series6.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ x 1.0))
4.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05088709

prune87.0ms

Filtered
49 candidates to 63 candidates (-28.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.3b

Counts
64 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 x))
0.3b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*r*
3×associate-*l*
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative distribute-rgt-neg-out div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 47
Calls
2 calls:
5.0ms
(* x (+ 1.0 x))
8.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ 1.0 x))
3.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

simplify21.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05052474

prune60.0ms

Filtered
33 candidates to 53 candidates (-60.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh202
Picked011
Done101
Total53457

Merged error: 0.0b

Counts
57 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×cbrt-undiv times-frac div-exp associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×distribute-frac-neg prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×pow1 frac-2neg flip3-+ associate-*r/ clear-num distribute-rgt-neg-out flip-+ div-inv associate-/l/ associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

simplify34.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05427368

prune35.0ms

Filtered
20 candidates to 32 candidates (-60.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done011
Total32436

Merged error: 0.0b

Counts
36 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 x))
0.1b
(* (/ 1.0 x) (/ (neg 1.0) (+ (pow 1.0 3) (pow x 3))))
0.1b
(/ (neg 1.0) (+ (pow 1.0 3) (pow x 3)))
21.8b
(* (* (/ 1.0 x) (/ (neg 1.0) (+ (pow 1.0 3) (pow x 3)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
301×*-un-lft-identity
193×times-frac
105×distribute-lft-out
103×add-sqr-sqrt
99×associate-*r*
91×add-cube-cbrt
84×unpow-prod-down cube-prod
57×distribute-lft-neg-in distribute-rgt-neg-in
36×add-exp-log add-cbrt-cube
21×sum-cubes
19×neg-mul-1
14×associate-*l*
13×prod-exp cbrt-unprod
11×pow1
10×frac-times associate-/l*
9×cbrt-undiv div-exp associate-/r*
7×associate-*l/
6×flip3-+ associate-*r/ flip-+ add-log-exp
4×pow-prod-down associate-/r/ unswap-sqr
3×distribute-frac-neg div-inv
2×*-commutative distribute-rgt-neg-out
1×distribute-lft-neg-out neg-sub0 distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log div-sub clear-num flip--
Counts
4 → 309
Calls
4 calls:
4.0ms
(- (* x x) (* 1.0 x))
42.0ms
(* (/ 1.0 x) (/ (neg 1.0) (+ (pow 1.0 3) (pow x 3))))
17.0ms
(/ (neg 1.0) (+ (pow 1.0 3) (pow x 3)))
28.0ms
(* (* (/ 1.0 x) (/ (neg 1.0) (+ (pow 1.0 3) (pow x 3)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x x) (* 1.0 x))
7.0ms
(* (/ 1.0 x) (/ (neg 1.0) (+ (pow 1.0 3) (pow x 3))))
5.0ms
(/ (neg 1.0) (+ (pow 1.0 3) (pow x 3)))
6.0ms
(* (* (/ 1.0 x) (/ (neg 1.0) (+ (pow 1.0 3) (pow x 3)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify72.0ms

Algorithm
egg-herbie
Counts
321 → 321
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049874844
149874844

prune492.0ms

Filtered
164 candidates to 321 candidates (-95.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3201321
Fresh011
Picked101
Done022
Total3214325

Merged error: 0b

Counts
325 → 4

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04010
14010

end0.0ms

sample486.0ms

Algorithm
intervals
Results
176.0ms1908×body640valid
107.0ms4240×body80valid
85.0ms1265×body320valid
27.0ms587×body160valid
0.0ms2×body80invalid

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