Details

Time bar (total: 1.4s)

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
5.0ms53×body640valid
3.0ms49×body320valid
3.0ms129×body80valid
1.0ms25×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

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: 15.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
distribute-lft-out--
distribute-lft-out
add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
div-inv associate-/l*
pow1 associate-/r/
cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 57
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
16.0ms
(- (/ 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))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05636709

prune90.0ms

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: 0.1b

Counts
64 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 x))
0.2b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*r*
associate-*l*
flip3-+ associate-/r/ flip-+ add-log-exp
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:
6.0ms
(* 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)))

simplify55.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04959474
14959474

prune74.0ms

Filtered
34 candidates to 53 candidates (-55.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New47653
Fresh112
Picked101
Done101
Total50757

Merged error: 0.0b

Counts
57 → 7

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
*-un-lft-identity
cbrt-undiv times-frac div-exp associate-/r*
add-sqr-sqrt add-cube-cbrt
distribute-frac-neg prod-exp associate-/r/ cbrt-unprod distribute-lft-out
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))

simplify48.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04969368
14969368

prune48.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh156
Picked011
Done000
Total32739

Merged error: 0.0b

Counts
39 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.3b
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
10.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
8.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055151063

prune345.0ms

Filtered
77 candidates to 107 candidates (-39.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done011
Total1077114

Merged error: 0.0b

Counts
114 → 7

regimes41.0ms

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 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

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

sample483.0ms

Algorithm
intervals
Results
178.0ms1911×body640valid
103.0ms4185×body80valid
83.0ms1232×body320valid
31.0ms672×body160valid
0.0msbody80invalid

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